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USN
Time: 3 Hours
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First Sernester B.E. Degree Examination, January
COMPUTER AIDED ENGINEERING DRAWITSG
(coMMoN TO ALL BRANGHES) Max. Marks: 80
Note: 1. Answer three full questions. 2. Use 44 sheets supplied.
3. Draw to actual scale. 4. Missing data, if any, rnay be assumed suitably.
1. a. A point is 30 mm behind VP, 30 mm above HP and 25 mrn in front / 10 Marks
behind /from LPP. Draw its proiections and name the side view.
b. A line AB has its end A 20 mrn above the FIP and 15 rnm in front of the t5 Marks
VP. The other end B is 60 mm above the HP and 45 mrn in front of ry'F.
The distance between end projectors is 70 mm. Draw'its prc,jections.
Determine the apparent lengths and true inclinations.
OR
I. A 30'-60" set square of 50 mm longest side is so kept such that the 25 Marks
longest side is in HP, making an angle of -l0o with VP. The set square
itself is inciined at 45" to HP. Draw the projections of the set square.
2. A hexagonal pyramid 25 rnrn sides of base and 50 mm axis length is 30 Marks
suspended freely from a corner of its base. Draw the projections of the
pyramid when the axis appears to be inclined to VP at 45'.
3. A frustum of a square pyamid has its base 40 mm sides, top i5 rnrn sides 25 Mar[<s
and height 60 mm, its axis is verticai and side of base is paratrlel to VP.
Draw the projections of the fiustum and show the deveiopment of the
lateral surfaces of it.
OR
3. A pentagonal pyamid of base side 30 mm and axis length 60 nam is 25 Marks
resting on FtrP on its base with a side of base perpendicular to VF. Draw
its isometric projections.
P' Cl,cl"-
USN
Engineering Mathematics - I
Time: 3 hrs" IzXax. Marks: 80
Note: .{nswer any FtrVE filll questions, choosing one full questiom frorn each module.
Module-1
Find the #h derivative of
_.2
rr a}--,zi",l-qaa66f.2"
2
b.
C.
o
o
C!
tr
a
o
.n
.J
da
.l]
.s&
o :iJ
otr_C(l)
?r
o:i
! !.?
=X
,E6l-
!=
96
=v
O--
0j
?-Y
@lI:
:o
>'9
.--6=
o- ;''l
-Y
^(Jo
O<
o
Z
o
C*
Find the radius of curvature of the curve represented by * : a(0 - sin 0) , y : a(1- cos 8).
(S5 Marks)
Find the angle between the curves 12 sin2 0 :4 and 12 : 16 sin 2 0.
OR
Ify:(x+ JIJ)*thenprove that{*- l)yn*z +(Zn+
Find the pedal equation of rn : a(1 + cos n 0).
Find the radius of curvature of the curve rn: an sin n0.
(06 Marks)
(85 h{arks)
l)xyn-' - (n'- rn')y,: 0"
(85 Marks)
(S5 Marks)
(05lvlarks)
i06 Marks)
(CIS Marks)
(05 NIarks)
(S6 Manks)
(S5 lvlarks)
(S5 Marks)
2a.
b.
L.
3a.
b.
4a.
b.
c.
5a.
b.
Module-2
Expand sin x in powers of (x - f ) up,o fourth degree term.
L
Evaluate ,' xe' - Iog( I + x)
x+0 K'
Ifu : x + y+ z,Ltv : y+ z,ua)v : z then fmd ?{"'t'') .
'- A(u, v, w)
OR
Find the Maclaurin's series expansion of sec x upto xo term.
tf V(x,y) : (1-2xy* y')-'' ,nA *|- yg: I V* , then find K.
ax'Ay
. [**Jri-r - I ^
If u : sin
,
1--:f-E t tl.,.n find x4 * ,4 * r9 .
|x"+y'+2"j Ax " Ay Az
OR
I of2
Module-3
Aparticlemovesalongthecurvewhoseparametricequationsarex:t3+ 1, y:t2,2:2t*5
where t is the time. Find the component of its velocity att: I in ttrre direcrlion of i t J + 3K.
Find also the component of its acceleration at t: 1 along the normal to I + J + 3K. (0d Marks)
Verify whether L: (2x+ yz) I + (4y + zx) J - (62 *xy)K is irrotation,al or not. And find the
scalar potential of A " (05 VIarks)
If A is a vector point function and $ is a scalar point function then prove that
div(g A):gdiv A +(grad$). 4. (ssMari<s)
t
't
15MA,T11
6 a. if f : *l+f i*zzKandE:yrI+zx]*xyK,thenverifywhetherrf x $ issoienoidal
($6 Marks)0r n0t.
b. Find the d:irectional derivative of $: *' + f + 222 atP(I,2,3) in the direction of line
FQ ='4i-2j+k.
c. Provo thal; curl (grad $)
: d.
(05 Marks)
(05 Marks)
(06 Nlarks)
(05 Marks)
(06 N{arks)
(S5 h{arks)
(05 Marks)
(06 Marks)
;y3:-2xrtxzis
(05 Marks)
(05 Marks)
(86 Marks)
(05 Marks)
7a.
C"
8a"
94.
b.
Modulq4
%
Ohtaira the reduction formula for
Jsin'
x dx. Hence evaluate I t* n x dx.
%
Solve (4x1'+ 3y'- *) dx + x(x+2y)dy: 0.
Find the Orthogonal trajectories of the family trn: an sin n0, where a is the parameter.
(05 Marks)
OR
b.
r]
- r* xudx
hvalttate I -----------_
'1, t+**')'"
^, d:r 3 o
botvexi-+y:x y.
d;<
A bo,Cy is heated to 1100C and placed in air at 100C. After one hour its temperature become
600C. Horv much additional time is required for it to cool to 300C?
Module-5
Solve the llbllowing system of equations by Gauss -.Iordan rnethod :
x*y*2,=8 ; -x-Y-tZz:-4 , 3x+ 5y-72:14.
Verifrf the transformation y1 : 19x1 - 9x2 * 24 ; yz: -4xt * 2x2 - x3
regulrlr or not and fmd the inverse transformation if possibie.
Re<iuce the matrix to the diagonal form
(r 1
A== | l.
[3 -t)
OR
Solve the following system by Gauss - Seidal method :X0 a.
b.
' 20x1 y -.22": I7 i 3x + 20y -z: -18 ; 2x-3y + 202:25. Perform three iterations.
Determine ttrre largest eigen value and the corresponding eigen vector of
(z -r o')
a ==
| -t z -l I
usingPowermethod.
[o -r 2)
Take (1, C), 0)r as the initial eigen vector and perform four iterations.
o. Reduce the quadratic forrn :
-2 -2,n28x- | 7y + 3z' - l}xy + 4xz - 8yz into canonical form.
,r**r<*
2 of2
(05 Marks)
USN
-
Examinarlf
14MAT11
an.2O16
Max. Marks:100
(06 Marks)
then prove that
(07 Marks)
(07 Marks)
(06 Marks)
(07 Marks)
(07 Marks)
(06 Marks)
(07 Marks)
First Semester B.E. Degree
Engineering
Time: 3 hrs.
Mathemitic**f{Sz/
b. any point of the cycloide x = a(e + sur 0);
(07 Marks)
and r=a(l-cos0) eilt each other orthogonally.
(07 Marks)
OR
2 a. If x=sint and y=cospt thenprovethat (1-x')y,*, -(2n+l)xy"*, +(p'-n')y, =0.
3a.
(07 Marks)
(06 Marks)
(07 Marks)
then prove that
(07 Marks)
l* r- 2" =1+ x -
x' *{*L+.......
Note: Answer FIVEfull questions, selecting at least ONE questionfrom each Part.
Part * I
n l- rblL a. If y=e* sin(bx+c) thenprovethat y, =(a2 +b')j.* rrrrl (U*+c)+ntan 'l: ll.
L a/_j
(06 NIarks)
C:
b.
c.
b.
C)
o
o
d
!
p'
0)
(n
o
?o
X=-:>
X-
d9
7h
-*il
l@
.g c(d$
=.ts()
-o
*,a
o()
-o>-
-(.)
5.v
i1 X
trE
o.j
e'iitc)atE
!o
o.->1 (F
=
otl
u=
trt
o
U<
: c..i
o
f
p.
Show that the radius of curvature at
y = a(l - cos 0) i, +u .or[9) .
2)
Show that the two curves r=a(l+cos0)
b. Show that the Pedal equation for the curve r'o =a'' cosm0 is Pa'" = r''nl
c. Derive an expression for radius of cur-vature in polar form.
part
- Z
If 'u' is a homogenous function of degree 'n' in the variable x and y,
au au
x-+v--nu.
dX CN
Using Maciaurin's series prove that,
4a.
L.
5a.
2324
If z is a function of x and y where x=e**e-u and y=e-'-eu,
0z 0z 0z 6z
:A-- Y-.
fu av Ax 'Av
OR
. -,[^' + u'I au au
lIu=sm l- -lthenprovethatx-
+y- =tanu.
Lr+yl & "av
- [r- +b* +.- *d^llhrraluate ltl_lx+of 4 l
If u=x+y+ z.uv-y+z and uwv=z thenshowthat ?"va =u'v.
D(u v w)
Part - 3
A particle moves along the curve x=(1-t3), y=(1+t2), y=(2t-5) determine its
velocity and acceleration. Also find the components of velocity and acceleration at t : 1 in
b.
the direction of 2i + j + 2k
Using differentiation under integral sign evalua,. i{aldx , cr > 0
Jn 1og x
Apply the ge0eral rules to trace the curve r = a(l+ cos0) .
1of 2
c.
OR
Apply the general rule to trace curve y'(a - x) = x'(a + x), a>0.
>t^^
Show that F=(y' - z' +3yz-2x)i+(3xz+2xy) j+(3xy- 2xz +22)k is
and irrotational.
Show that div(curlA) = g.
Part - 4
7 a. Obtain the reduction formula for
J
cos' xdx where 'n' being the positive integer.
6a.
b.
c.
b.
c.
14MAT11
(07 Marks)
both solenoidal
(06 Marks)
(07 Marks)
. (07 Marks)
(06 Marks)
3 parameter is self
(07 Marks)
(07 Marks)
(06 Marks)
(07 Marks)
Solve (ycosx + sin y + y)dx + (sin x + xcosy + x)dy=9.
Show that the family of curves + * , 1 , = 1, where )" is
a +)" b'+)"
orthogonal.
OR
L
4
Evaluate [.oru xsin
u
xdx .
I
0
Solve
"'(9-* l) =.^.
d* )
8a.
b.
c.
9a.
b.
10 a.
A body originally at 80'C cools down to 60oC in 20 minutes. The temperature of air being
40oC. What will be the temperature of the body after 40 minutes from the original?
(07 Marks)
Ir
Find the Rank of the matrix | 5
la
Find the largest eigen value and
using the Rayleigh's power
lz o rl
ltA=10 2 0l
Ir o 2l
Part - 5
2341
6 7 81.
I
7 0 s_l
the corresponding eigen vector of the given matrix 'A' by
method. Take tl 0 0]' as the initial eigen vector.
(06 Marks)
Solve 2x+y+42=12, 4x+1ly-z=33 and 8x-3y +22=20 by using Gauss
(07 Marks)Elimination method.
OR
Solve by LU decomposition method,
3x+2y +72=4
2x+3y*z=5
3x + 4y * z=7 (07 Marks)
Reduce the quadratic form 3x'+5y'+ 322 -2y'+2zx-2xy the canonical form and
specify the matrix of transformatiol. (06 Marks)
Show that the transformation y, =Zxri x2 +x3 , yz=xr +x2 +2x, y3:xr-2x, is
regular and also write down the inverse transformation. (07 Marks)
8*Ajr*
2 of2
b.
c.
USN
Modulql
Solve y" + 4y' - l2y: e'* - 3sin 2x.
t2
By the method of undetermined coefficients solve 14 * y: 2 cos x.
dx-
Solve by the method of variation of parameters y" + 4y: tan}x.
OR
14
a ^, GYa 6. Soive ,+ + m=y = 0.
GX
b. Solve (D'+ 7D + 12)y: cos hx.
c. By tlie method of variation of,parameters, solve y" + y: x sin x.
14MAT21
(CI6 Marks)
(07 Marks)
(G7 Marks)
(G6 NIarks)
(07 Marks)
(07 l{arks)
, gY'
- 2x-cos t: 0 given that x : o-dt
{07 Marks}
(07 Manks)
(06 Marks)
(i)7 h4arks)
(S7 Ntrarhs)
(S5 Marks)
are arbitrary
(S7 Marks)
(S7 S'farks)
{05 Marks}
Second Sernester B.E. Degree Examination, Dec.20l5/Jan.201,5
Engineering Mathematics - ll
Time: 3 hrs. Max- Marks: 100
Note: .dnswer any FIVE full questions, choosing one full questiom frorn eaetr module.c)
O
or
E
c3
o
bo-
cd=
=^-
-a
-'
brl
,*I
-O
u2
,4e
!v
oaJ
69
,d
'-^
o-X
oi.
ots
ca
o.-
>',+
(-):5
-dgtu
2.v!
:q
rJ<
-
ai
o
o'7
o
tr
t^I O.
b.
a-
Module-2
dx
-
t')rt fcln f
-
ll
dt
t].
Solve the simultaneous equations
and y: 1 when t: 0.
Solve x' y" - xy' + 2y = x sin (1og x).
^, dy dx x y
SOlVe --:--- =---
dxdyyx
4a.
b.
c.
5a.
OR
Solve (x + a)2 y" * 4(x + a)y'+ 6y: x.
/
Solveo:tanl*- P
= l.' (. l+p')
Find the general and the singular solution of the equation y: px + p3.
Module-3
Form the Partial Differential Equation of z : y f(x) + x g(y), where f and
functions.
Derive one dimensional heat equation.
Evaluate f f, .-'" '"' d* dy by changing into polar co-ordinates.
J)
o0
b.
OR
I of2
, ozS a. Solve
-
: sin x sin y.
0^Ay
mutrtiptre of nl2.
7a.
U.
C.
14MAT21
for which ?: -Z sin y when x : 0 and z:'A , when y is an odd
Ay
(CI7 Marks)
b. Evaluate
ff xyAxay, where R is the region bounded by * - axis , the ordinate x:2a and the
R
2^paraDolax:+a)/.
cba
c. Evatruate
I" {, | $' + t' + zz) dzdy dx.
(07 Marks)
(&6 Marks)
(07 Marks)
(86 Martr<s)
(07 Marks)
(CI? Marks)
(06 Marks)
{ii7 Marks)
(07 Marks)
(05 Marks)
(07 Marks)
(07 lVlarks)
(06 Marks)
(07 Marks)
8a.
10 a.
LJ.
9a.
b.
b.
c.
Module-4
Define Gamma function and Beta function. Prove thatV : J-n .
l/2
Expness the vcctor i = ri -Zii+ yt i, cylindrical co - ordinates.
Find the volume common to the cylinders *' + t' : az and x' + z' : a'.
OR
Frove that B(m, r): E.
l(m + n)
Show that the area between the parabohs f :4axand x2 : 4ay is ]9 a'.
J
Frove that the cylindrical co-ordinate system is orthogonal.
]VIoduIe5
Find L{e-zt sin 3t + et t cost}.
Find the inverse,Laplace transform of
*ffii,
Solve y" *6y'-| 9y: l2t2 e-3' by Laplace transform method with y(0) : 6 : y'(0).
OR
[cost, 0<t<n
Express f(t):l 1,, 7r<t<2x',|
Isint, t>2n
in terms c,f unit step function and hence find its Laplace transforrn.
Salve by I-aplace transform y" + 6y'+ 9y: 72t2 e'3t with y (0) : 0 : y'(0).
Icos at- - cos bt I
l.t)
&&&&&
2 of2
I.JSIN
1sPHY12
(84 Marks)
{06 Marhs)
for electrical conductivity of a
(06 Marks)
10-3 ohm-m,
(84 Marks)
First Sernester B.E. Degree Examinatidn; ec"201si.Ian.Z015
O
o
O
a.
(s
a)
af
oa
aJU
troo
6:!
otrio
4JY:
":=!ni:
ou
g
=.ea
>6
tr5
o+
b-F
ui
o.i
xq-
O=
=sgO
t<
;
o
Z
d
o.
Engineering Physics
Time: 3 hrs" Max" Marks: 80
Note: X. Answer any FIVE full questions, choosing one full question fi'orn each module.
2" Physical Constamts: Velocity of light, c : 3 x 108 ms-r
Planck's constant, h: 6.625 x 10-34 .fS
Mass of electron, m:9.1 x 10-3I kg
Boltzrnann constant, K: 1.38 x 10-23 JI(-r
Avogadro number, Na:5.02 x 1026/Kmol.
Module-1
1 a. Show that Planck's law reduces to Wein's law and Rayleigh-Jeans law at lower and higher
wavelength limits respectively. (05 Marks)
b. Setup time independent Schrodinger wave equation in one dimension, (06 Marks)
c. A particle of mass 940 MeV/cz has kinetic energy 0.5 KeV. Find its rJe-Broglie wavelength,
c is velocity of light. (04 Manks)
oR.
2 a. Define phase velocity and group velocity. Obtain the relatioqhetweera therr. (06ltarks)
b. tr-Ising Heisrenberg's uncertainty principle, prove that electrons cannot exist in a nucleus.
(06 NIarks)
c. The first excited state energy of an electron in an infinite well is 240 eV. What will be its
ground state energy when the width of the potential well is doubled? (04 l{arks}
Module-2
3 a. What is Fermi energy? Discuss the probability of occupation of various energy states by
electron atT :0K and T > 0K on the basis of Fermi factor. (05 Manks)
b. What is i{eissner's effect? Explain Type-I and Type-II super conductors. ((}6 Marks)
c. The effective mass for the electron in germanium is 0.55 mo, where ma is the free electron
inass. Find the electron concentration in Germanium at 300 K, assuming that the Fermi level
lies exactly in the middle of the energy gap, given that the energy gap for Germanium is
0.66 eV.
OR
4 a. Explain the success of quantum free electron theory.
b. Explain the law of mass action and derive the expression
serniconductor.
c. Find the relaxation time of conduction electrons in a metal of resistivity 1.54 x
if the metal has 5.8 x 1028 conduction electrons per m'.
Module-3
5 a. Obtain an expression for energy density of radiation in terms of Einstein's coefficients.
{06 Marks)
b. What is numerical aperture? Obtain an expression for nurnerical aperture in teritrs of
relactive indices of core and cladding of an optical fiber. (06 Marks)
c. The ratio of population of two energy levels is 1.059 x 10-30. Find the wavelength cf light
ernitted at 330 K.
I of2
iS4llXarks)
15PHY12
OR
a. Explain construction and working of carbon dioxide laser device. ({}6 Marks)
b. With neat diagrarns, explain different tlpes of optical fibers. {$6 ll{arks)
e. The atteruration of light in an optical-fiber is 2 dBlkm. What &action of its initial intensity
remains after (i) 2km, (ii) 5 km? (04 Marks)
Module-4
a. Define lattice points. Explain the crystal structure of diamond with neat sketch. (06 Marks)
b. lllustrate the procedure to find miller indices of a given plane and calculate the atomic
packing factor for F'CC. (S6 h{arks)
c. A beam of x-ray with wavelength 1.5 A; undergoes second order Bragg's reflection from the
plane (211) of cubic arystal at glancing angle 54.38o. Calcutrate the lattice constant.
(04 Marks)
OR
I a. V/hat is Eiravais lattice? Obtain an expression for the interplanar spacing of planes in terms
of Miller indices for cubic lattice.
b. Describe the construction and working of a Bragg's x-ray spectrometer.
c. Draw the following planes in a cubic unit cell:
iii) (2 0 0) iv) (1 1 0)i) (r 02) ii) (r r2)
(06 Marks)
(06 Marks)
(04 Marks)
Module-S
9 a. Describe the construction and working of Reddy's shock tube. (06 Marks)
b. What aro nanomaterials? Write a note on sol-gel method of preparing nanornaterials"
(86 Marks)
(04 NIarks)
OR
l0 a" Describe rlhe principXe, construction and working of a scanning electron microseope.
(06 Marks)
(06 Marks)
150 mm. The time taken by
of sound under the same
(04 Marks)
{.j,<4**
c. Define folach number, subsonic waves, supersonic waves anci Mach angle.
b. Explain the structures and applications of Carbon nanotubes.
c. The distance between the two pressure sensors in a shock tube is
a shock rvave to travel this distance is 0.3 ms. If the velocity
condition is 340 ms-'. Find the Mach nurnber of the shock wave.
2 of2
USN IsPHY12
First Semester B.E. Degree Examination, Dec.2015 I Jtn.20l6
Engineering Physics
Time: 3 hrs. N{ax. Marks: 80
Note: 1. Answer any FIVE full questions, choosflng one full question from each rnodule.
' 2. Fhysical Constants: Velocity of tight, c :3 x 108 rns-r
Planck's constant, h:6.625 x 10-34 JS
Mass of electron, m:9.1 x 10-3t kg
Boltzmann constant, K: 1.38 x 10-23 JI(-r
Avogadro number, Na :6.02 x 1026/Knaol.
Ntod_ule-l
I a. Show that Planck's law reduces to Wein's law and Rayleigh-Jeans law at lower and higher
wan,elength limits respectively. (06 Marks)
d)
o
o.
d
i
.o
I
?a
coo
.S .
*,a
U(J
--,
:i
>i
-6d4
!5
37)
or:
c--
o --I
7.2
6:
@'I
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O.=
>'h
bo-E or]
O=
c- ;'i
aa
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. ^;
;
Z
g,
5
b. Setup time independent Schrodinger wave equation in one dimension. (06 Marks)
c. A partiele of mass 940 MeV/c2 has kinetic energy 0.5 KeV. Find its de-Brogtrie wavelength.
c is velocity of light. (04 Marks)
OR
2 a. Define phase velocity and group velocity. Obtain the relation between them. (06 Marks)
b. Using Heisenberg's uncertainty prineiple, prove that electrons cannot exist in a nucleus.
(S6 NIarks)
c. The first excited state energy of an electron in an infinite well is 240 eV. What will be its
ground state energy when the width of the potential well is doubled? (04 Marks)
Modrrle-2
3 a. What is Fermi energy? Discuss the probability of occupation of various energy states by
electron at T : 0K and T > 0K on the basis of Fermi factor. (06 Marks)
b. What is Meissner's effect? Explain Type-I and Type-II super conductors. (05 Nlarks)
c. The effective mass for the electron in germanium is 0.55 m6, where mo is the free electron
rnass. Find the electron concentration in Germanium at 300 K, assumingthat the Ferrni level
lies exactly in the rniddle of the energy gap, given that the energy gap for Gerrnanium is
0.66 eV.
OR
a. Explain the success of quantum free electron theory.
b. Explain the law of mass action and derive the expression for electrical
(04 Marks)
{06 Marks)
conductivity of a
serniconductor. (06 N{arks)
c' Find the relaxation time of conduction electrons in a metal of resistiv'it y I .54 x 10-8 ohrn-m,
if the metal has 5.8 , 1028 conduction electrons per m'. (04 N{arks)
Module-3
a. Obtain an expression for energy density of radiation in terms of Einstein's coefficients.
(06 Marks)
b. What is numerical aperture? Obtain an expression for numerical aperture in terms of
re&active indices of core and cladding of an optical fiber. (06 Marks)
c" The ratio of population of two energy levels is 1.059 x 10-30. Find the wavelength of light
emitted at 330 K.
L of2
(04 Marks)
15F}IY12
OR
a. Explain construction and working of carbon dioxide laser device. (06 Martrrs)
'D. With neat diagrarns, explain different types of optical fibers. (06 Marks)
c. The attenuation of light in an optical-fiber is 2 dB/km. What fraction of its initial intensity
rernains after (i) 2km, (ii) 5 km? (04 Marks)
Module-4
a. Define trattice points. Explain the crystal structure of diamond with neat sketch. (06 Marks)
b. Illustrate the procedure to find miller indices of a given plane and calculate the atomic
packing ftrctor for FCC. (05 Marks)
c. A beam of x-ray with wavelength 1.5 A; undergoes second order Bragg's reflection from the
plane (211) of cubic crystal at glancing angle 54.38o. Calculate the lattice constant.
(04 Marks)
OR
a. What is Bravais lattice? Obtain an expression f,or the interplanar spacing of planes in terms
of Miller indices for cubic lattice.
b. Describe the construction and working of a Bragg's x.ray spectrometer.
c. Draw the following planes in a cubic unit cell:
iii) (2 0 0) iv) (1 1 0)i) (r 02) ii) (l r2)
(S6 Marks)
(06 Marks)
(04 Marks)
(05 Marks)
(05 Marks)
(04 Marks)
9a.
h
Module-S
Describe the construction and working of Reddy's shock tube.
What are nanomaterials? Write a note on sol-gel method of preparing nanomaterials.
c. Define Mach number, subsonic wayes, supersonic waves and Mach angle.
OR
lE a" Describe the principle, construction and working of a scanning electron microscope.
(06 Marks)
b. Explain the struotures and applications of Carbon nanotubes. (06 Marks)
c. The distance between the two pressure sensors in a shock tube is 150 mm. The time taken by
a shock wave to travel this distance is 0.3 ms. If the velocity of sound under the same
condition,is 340 ms-r. Find the Mach number of the shock wave. (04 Marks)
2 of2
7APIJY12122USN
on, Dec.20l5lJan.20l6
Engineering Physics
t
Time:3 hrs. Max. Marks:100
E Note: 1. Answer any FIVEfull questions, selecting
€ atleast ONEfult questionfrom each part.
fr 2. Physical constants : Velocity of light, C:3 x 708 m/s ;
* $ Phnk's constunt, h:6.625 * rct'"lS ; Muss of electrons,
H: m :9.11 x l[3tkg ; Boltzmann's constant, K: 1.38 x IA23J/K.
t 5 Avogadro number, Nl: 6.02 x t d6tX mole.
=la*ao
ll
.E? PART_I.! c
d !d'
fl f I a. Define phase velocity and group velocity. Derive a relation between the two. (05 Marks)
€ .g b. What is the physical interpretation of wave function? Explain the nature of eigen values and
XF
? Z eigen functions. (06 Marks)
E E c. Explain Wein's law and Rayleigh - Jean's law. Discuss their drawbacks. (06 Marks)
E
-t d. Calculate the de - Broglie wavelength associated with an electron carrying energy 2000 eV.
E ts (03 rllarks)_L
6OF
$E
; € 2 a. State Heisenberg's uncertainity principle. Using uncertainity principle. Explain the non -
€ * existence of electron in the nucleus. (07 Marks)
a I b. Using time independent Schrodinger's wave equation, obtain the expression for the
6 -lJ
* -a normalized wave function for a particle in one dimensional potential well of infinite height.
SB (09 Marks)
$ € dimension. What is the minimum width required by the electron to be confined in an atom?
f # (04 Nlarks)
5€
;E q '"
it.=
>'!i
S ;" " .,.,;".:i PART - 2
;=gU
E E 3 a. Explain the probability of occupation of various energy state by electron at T : 0 K and
! a T > 0 K on the basis of Fermi factor. (06 Marks)
: : "_ *n b. Define Hall Effect and HallVoltage. Derive an expression for Hall coefficient. (06 Marks)
, -u,. #": c. Explain BCS theory of Super conductivity. (04 Marks)
E - {:-n d. Find the relaxation time of conduction electrons in a metal of resistivity 1.54 x 10-8 Om, if
E *. - the metal has 5.8 , 1028 electrons/m3. (04 Marks)
a
4 a. Discuss different types of super conductors. (04 Marks)
b. Explain Fermi - energy and Fermi - factor. (06 Marks)
c. Explain failure of Classical free olectron theory. (06 Marks)
d. Calculate the Fermi velocity for the free electrons in gold. Given Er : 5.53eV. (04 Marks)
I of2
5a.
b.
c.
L4PHY12I22
PART _ 3
Derive an expression for energy density in terms of Einstein's coefficients. (08 Marks)
Explain the construction and working of carbon dioxide laser device. (08 Marks)
The attenuation of light in an optical fiber is 3.6 dB/km. What fraction of its initial l+ttegpty
remains after i) 1 km ii) after 3 km. ,"@4alVihrks)
,; $lr;
a. What is Total internal reflection? Derive an expression for acceptance #tEIYof an optical
fiber. " .i (08 Marks)
b. Discuss different types of optical fibres. (06 Marks)
c. An optical fiber has a numerical aperture of 0.32. The refractive index of cladding is 1.48.
Calculate the refractive index of the core, the acceptance angle of the fiber and the fractional
index change. (06 Marks)
a.
b.
c.
d.
PART_4.*
Obtain the expression for inter planar spacing of a cubic crystal.
Calculate the atomic packing factor for SC, FCC and BCC lattices.
Write a note on Perovskite structure.
(05 Marks)
(06 Marks)
(06 Marks)
9a.
b.
c.
,,rri' d'
A sodium chloride crystal is used as a diffraction grating with X - rays. For the d111 spacing
of the chloride ions the angle of diffraction 20 is27.50.If the lattice constant of the crystal is
0.563nm, what is the wavelength of X - rays? (03 Marks)
a. What is Bragg's law? Explain how Bragg's spectrometer is used for determination of
interplanar spacing in a crystal. (08 Marks)
b. Discuss the principle and working of Liquid Crystal Display. (08 Marks)
c. Draw (100) , (110), (011) and (111) planes in a Simple cubic crystal. (04 Marks)
PART _ 5
Distinguish acoustic, subsonic and supersonic waves. (04 Marks)
Explain the preparation of nano structure using Sol - Gel method. (06 Marks)
Write a note on Carbon Nanotubes. (06 Marks)
What are Shock waves? Mention few applications of Shock wave. (04 Marks)
Explain the principle, construction and working of Reddy Shock tube. (08 Marks)
Explain the preparation of nano structures using Top - Down approach method. Mention
any two properties of nano materials. (06 Marks)
Explain the construction and working of Scanning Electron Microscope. (06 Marks)
2 of2
10 a.
b.
c.
Lrfi[aAtl , i. ,i
t4ctY"t3l23USN
First/Second Semester B.E. Deg
Elements of Givil Engineering giheering Mechanics
d
E
Time:3 hrs. Max. Marks:100
+._ry
€ Note: Answer FIVE questions, selecting ONEfutl questionfrom euch Module;;'i,#
€ MoDULE-I M;K.
$ I a. Briefly explain the scope of any thre. fie1ds of Ciril Bngineering ;.6t vrarks)
* 5 b. Write the classification of roads and comparison of flexible and rigid pavemqftF' (10 Marks)(!)x
doP
gE 2 a. Define Force and write the characteristics of forces with examples. ,l,.S (08 Marks)
E a b. Determine angle 0 (0 < 0 < 1805 for the force F :200kN shown,$ufi$. Q2(b), so that it
SJt produces : i) Maximum moment about 'A' and ii) Minimum moment about 'A'.
:E S Determine maximum and minimum moments. (08 Marks)(dt
E a, c. State and explain principle of transmissibility of a force. (04 Marks)
€ .E MoDULE - 2H!
A Z 3 a. State and prove the parallelogram of forces. '" (08 Marks)
E .E b. Define Resolution of a force with diagram. (04 Marks)
E + c. A barge is pulled by two tug boats as shorqfu'frg.Q3(c). If the resultant of the forces
()a)
r b -^erted by the tug boats is 5kN force dirqqffialong the axis of the barge. Determine the
e; tension in each of the ropes knowing that g 3+4s0. (08 Marks)ooi
.sI /*
; .H 4 a. Define Moments and write the a.p@.{i0al conditions of equilibrium for a coplanar non
€ € concurrent force system. -," ' ,,",,,i (05 Marks)
A g b. Force system shown in fig.Qa(b) has a resultant of 2kN acting up along Y - axis. Compute
E ; the force 'F' and its direction{q"with the horizontal, to give this resultant. (07 Marks)
B H c. Determine the resultant,ffiices acting on cross section of dam shown in fig.Q4(c) and
S"
i locate its intersection ffi# the base AB. For good design, this intersection should occur
I '€ within the middle t g&df the base. Does it? (08 Marks)
eg r".-
H E m' MoDULE - 3
i=
nE 5 a. Determingffi$"Values of Wr and Wz shown in fig.Q5(a). So that the part BC of the string is
E .it horizonfigtt'{alculate the tension in the parts AB, BC, CD and DE. Also calculate the
o=
E g pres$Uffibn the frictionless pulley at D. (10 Marks)
E 3 b. T{ie"gfflinders P and Q weigh 20kN and 10kN. The coresponding diameters are 2.8m andQfu@linders P and Q weigh 20kN and 10kN. The coresponding diameters are 2.8m and
#fu and are shown in fig.Qs(b). Determine the reactions of A, B, C and D. (10 Marks)
; > ffi and are shown intig.QS(U). Determine the reactiorrs oiA, B, C and D. (10 Marks)o < ^q*;t:i r-&
-
N @*/
; 6
"
alDefine Equilibrium and Equilibriant, with neat diagram. (04 Marks)
2 - ;ffi1b* b. Explain : i) Coefficient of friction ir) Angle of Repose iir) Cone of friction, with
E _ dih"
* neat diagrams. (06 Marks)
E- b#h# c. Two blocks are placed as shown in fig.Q6(c). Weight of block A is 5kN and of block B is
,H
- 4kN. The coefficient of friction between all surfaces in contact is 0.2. Find the effort
required to start moving block B and also the tension in the cable. (10 Marks)
b.
Determine
principles.
Determine
fie. Q7(b).
MODULE - 4
the centroid of a right angle triangle of base 'b' and height 'h' from first
(08 Marks)
the polar radius of gyration about the centroidal axes of the section shown in
(12 Marks)
I of2
a.
b.
t4ctYt3t23
Derive the expression for the M.I of a semicircular lamina of radius (r) about its centroidal
axis parallel to the diameter. (08 Marks)
Determine the centroid of lamina shown if fig.Q8(b) and mark the centroid. (12 Marks)
' MgroL-5 *mDefine i) Rectilinear motion ii) Curvilinear motion with example. (OmstCI&s)
Explain the following with sketch : d3*W*
i) Angle of projection ii) Time of flight iir) Range. g1g-} pS Marks)
A stone is thrown vertically upwards and returns to the earth in 10S. Wh#Ws its initial
velocity and how high did it go? *$ru
* (08 Marks)
t''
-
''
Derive an expression for maximum height of a projectile on a horizqqtd.folane. (08 Marks)
A cricket ball thrown by a player from a height of 2.0m above the h"brizontal ground at an
angle of 300 to the horizontaland with a velocity of 12mls. fiCyUatt hits the wicket at a
height of 0.6m above the ground. How far is the player U?q, wicket? (12 Marks)
* {<**:F
2 of2
9a.
b.
c.
10 a.
b.
Fig.Q2(b)
r"neoo!
-,^,1S"o&
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5k^l
Fie.Qa(b)
+ 2,5L+
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ah-6m
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Fig.Qs(a)
D
A
a
q
Fie.Qs(b)
Fig.Q6(c)
J.
T220
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1-ltto
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l*-sn ---"1
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Fie.Q8(b)
USN
5a.
b.
f[[* 15CM3
Jan.20l6
Mechanics
Max. Marks: 80
(08 Marks)
(08 Marks)
(i0 Marks)
(06 Marks)
(06 Marks)
(10 Marks)
(06 Marks)
{tr0 Marks)
(08 Marks)
(S8 Marks)
Note: Answer any FIVE full questions, choosing one full question frorn each module.
Module-1
I a. Briefly explain the scope of any four fields of civil engineering.
b. Draw typical cross section of road and explain its components.
OR
2 a. Write short notes on: i) Shoulders ii) Kerbs iii) Iraffic separators. (06 Marks)
b. Resolve 300 N force acting on a block as shown in Fig. Q2 (b):
0 {nto horizontal and vertical components.
ii) Along the inclined plane and right angles to the plane. (10 Marks)
Module-2
a. State and prove Lami's theorem. (06 Marks)
b. Determine the resultant of forces which are acting as shown in the Fig;.Q3 (b). (10 s{arks)
OR
First Semester B.E. Degree Examinati@iffiJdu
Elements of Givil Engineering & Engirieriiing
Time: 3 hrs.
4 a. State and prove Parallelogram law of forces.
b. Expiain with sketches : i) Cone of friction ii) Angle of repose.
Module-3
State and prove Varignon's theorem.
10 a. A stone is dropped into a
well.
a
o
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d
o.
d
.o
bo
'=
1lo
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Op
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7a.
1r
U.
Find the magnitude, direction and position of the resultant with respect to the point A for the
force systern shown in Fig. Q5 (b).
OR
6 a. Explain the different types of supports in the analysis of beams.
b. Determine the support reaction at A and B for the beam shown in Fig. Q6 (b)
Module-4
State and prove parallel axis theorem.
Determine Centroid of the area shown in Fig. Q7 (b)
OR
a. Deterrnine the moment of inertia and radii of gyration of the area shown in Fig. Q8 (a) about
the base AB and centroidal axis parallel to AB. (08 Marks)
b" Determine the mornent of inertia of triangle of base width 'b' and height 'h' about the base.
(08 Marks)
Module-S
9 a. Define : i) Displacement ii) Speed iii) Velocity iv) Accele;ration. {06 Marks)
b. A cricket ball thrown from a height of 1.8 m above ground level at an angle of 30o with the
horizontal with velocity of 12 nrls and is caught by fielder at a height of 0.6 m above the
ground. Determine the distance between the two players. (X0 Marks)
OR
well and a sound of splash is heard after 4 s. Find the depth of
{08 Marks)
Determine the position at which the ball in thrown up the plane will strike the inclined plane
as shown in Fig. Q10 (b). The initial velocity is 30 m/s and angle of projection is tan-'({)
with horizontal. (08 Marks)
1of 2
b.
toN
lY
Fig. Q3 (b)
3ok$f." i.okd
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,r**{<*
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Fie. Q2 (b)
Fie. Q6 (b)
&nr..*-E-ur
Fig. Q5 (b)
Fie. Q7 (b)
Fig. Q10 (b)
USN
Basic Electrical Engineering
Time: 3 hrs. Max. Marks: 80
Note: Answer any FIVE full questionso choosing one full question from each module.
Module-1
State ohm's law. Mention its limitations. (05 Marks)
A coil consists of 600 turns and a current of 10 A in the coil gives rise to a magnetic flux of
I mWb. Calculate: (i) self inductance, (ii) The emf induced, (iii) The energy stored when a
current s reversed in 0.01 sec. (05 Marks)
c. A circuit of two parallel resistors having resistance of 20f) and 30f) respectively, connected
in series with 150. lf the current through 15 f) resistor is 3.A., frnd (i) curtent in 20Q and
30f) resistors, (ii) voltage across the whole circuit, (iii) The total power and power
la.
b.
(.)
bo
d
.o
60
':(!o
ta
o9!o
-.d
.q o-
5E
()<d
oP
o o
(cP
bo>
dz
/6
d-
U6
-'u'-^
o.E
9EtoirE
L0
o.B
> (E
,-C
6:
Z>Y!
U<
-N
6J
Z
P
o
F
consumed in all resistors.
OR
2 a. Define dynamically induced emf and statically induced emf with examples.
b. State and explain Kirchoff s current law and Kirchoff s voltage law.
c. In the network shown in Fig.Q2(c), determine curent flow in the ammeter
resistance of 10 Q.
3a.
b.
C.
connected?
OR
Derive EMF equation of DC generator.
{06 Marks)
(05 Marks)
(05 NIarks)
'A' having
5i.'
 OIJL
Fig.Q2(c)
Module-2
Sketch torque versus armature current and speed versus armature current characteristics of a
D.C. shunt motor and mention its applications. (06 Marks)
With the help of neat diagram, explain the construction and working principle of
electrodynamometer type wattmeter. (06 Marks)
An 8 pole D.C. generator has 500 armature conductors and has useful flux per pole of
0.065 Wb. What will be emf generated if it is lap connected and runs at 1000 rpm? What
must be the speed at which it is to be driven to produce the sa.me emf if it is wave
(05 Marks)
(04 Marks)
{04 Marks)4a.
b.
C.
With a neat diagram, explain the construction and working of a induction type energy meter.
(S6 Marks)
A 200V, 4 pole, lap wound DC'shunt motor has 800 conductors on its armature. The
resistance of the armature winding is 0.5 Q and that of the shunt field winding is 200 Q. The
motor takes 21A and flux/pole is 30 mWb. Find speed and gross torque developed in the
motor.
I of2
(06 Marks)
5a.
b.
C.
An alternating voltage (80+j60)V is applied to a circuit and the current flowing is (-4+j10)A.
Find: (i) the impedance of the circuit, (ii) the phase angle, (iii) power consumed. (0s Marks)
Two impedances z,=(10+j15)f) and z, =(6-j8)Q are connected in parallel. If the total
current supplied is 15,A., what is power taken by each branch? (ii6 Marks)
OR
a. Show that power consumed in an AC circuit is P : VI cos $, where V is RMS vatrue of the
applied voltage, I is the RMS value of current and $ is the angle between voltage V and
current tr. {05 Marks}
b. What is earthing? Explain any one type of earthing with neat figure. (06 Marks)
c. A coil of power factor 0.6 is in series with 100 pF capacitor. When connected to a 50 Hz
supply, the potential difference across the coil is equal to potential difference across the
capacitor. Find the resistance and inductance of the coil. (05 Marksi
Module-3
Explain trvo way control of lamps with truth table and connection diagram.
Module-4
Mention the advantages of three phase system over single phase system.
Module-5
Derive EMF equation of transformer.
1sALE15
(05 Marks)
(05 Marks)
(04 Nlarks)
la.
b.
9a.
b.
l0 a.
b.
C.
Three sirnilar coils each having resistance of 10Q and reactance of 8() are connected in star,
across 400 V, 3 phase supply. Determine (i) line current, (ii) total power, (iii) reading of
each of two wattmeter connected to measure power. (06 Marks)
e. A 2 pole 3phase alternator running at 3000 rpm has 42 slots with 2 conductors per slot.
Calculate the flux per pole, required to generate a line voltage of 2300 V. Assume
Kd: 0.952 and Ko : 0.956. The armature is star connected. (05 Marks)
OR
a. With the help of a circuit diagram and vector diagram, show that two wattmeters are
sufficient to rneasure total power and power factor in a balanced three phase circuit.
b. with neat sketches, explain the construction of salient pole alternator. [[:#ilil]
c. A three phase load of three equal impedances connected in delta across a balanced 400 V
suppiy, takes a line current of i0 A at a power factor of 0.7 lagging. Calcuiate:
i) the phase current, ii) the total power, iii) the total reactive volt amperes. (04 Marks)
The maxiirnum efficiency at full load and Upf of a single phase, 25 kVA, 500/1000 V, 50 Hz
transformer is 98%. Determine the efficiency at (i) 75o/olaad 0.9 pf, (ii) 50% load 0.8 pf,
(11i) 2s% load 0.6 pf (08 Marks)
c. If a 6 pole induction motor supplied from a three phase 50 Hz supply has a rotor frequency
2.3 Hz, calculate (i) the percentage slip, (ii) the speed of the motor. (04 Marks)
OR
Derive the condition for which the efficiency of a transformer is maximum. (06 Marks)
Define slip. Derive an expression for frequency of rotor current. (05 Marks)
A three phase 6 pole 50 Hz induction motor has a slip of 1o/o at no load and 3Ya at full load.
Determine: i) Synchronous speed, .(ii) No load speed, (iii) Full-load speed, (iv) Frequency
of rotor current at stand still, (v) Frequency of rotor current at full-load.
*8***
2 af2
(05 Marks)
[JSN 148{,8X5/25
ec"20l5lJan"2016
Max. Marks:100
{05 N,Iarks)
(06 Marks)
(S6 h{arks)
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First/Second Semester B.E. Degree EiS
Basie Electrical Entiteiering
Time: 3 hrs"
Note: Answer wny FIYE fall questions, claoosirug
ONE fwll questionfrow escfu wodule.
Module-1
Compare electric circuit and magnetic circuit.
1a
la.
b.
c.
d.
For the circuit shown in Fig. Ql(b), the total power dissipated is 488W. Calculate the current
tlo.,rring in each resistance and pd between A and B. (05 l{*rks)
Derive an expression for the energy stored in the magnetic field. (05 Marks)
A coil of 200 turns of wire is wound on a magnetic circuit of reluctance 2000 ATlrvb. If a
circuit of 1A flowing in the coil is reversed in 10 sec, find the average emf ind.uced in coil.
(85 hfarks)
OR
Define the foilcrving :
i) Statically induced emf
ii) Dynamically induced emf
iii) Co-efficient of coupling. Give example for (i) and (ii) and expression for (iii). 40e viax'ks)
A conductor of length 0.5m situated in and at right angles to a uniform magnetic field cf flux
densiry 1 Wb/rn2 moves with a velocity of 40 m/s. Calculate the ernf inclueed in the
ccnductor. What will be the emf induced if the conductor moves at an angle 60o to tl:e fielC.
(t|4 &,Iarks)
{04 fr,{arks)
(85 lv{arks)
-1al
b.
State and explain KirchofFs laws.
For the FiS. Q2(d) calcillate the current in 2fJ resistor.
filed resistance 230O.
c. With neat sketch, explain the working of dynamometer type wattmeter.
Fig. Q2(d)
MqdulqZ
3 a. With a neat diagram showing irnportant parts of DC machine and explain impor-tant features
of the parts shown. (08 Marks)
b. A 230V DC shunt n:rotor takes a no load current of 34. and runs at 1100 rprn. If the fuli lcad
current is 4lA, find the speed on ftll load. Assume armature resistance A.25{2 and shunt
Fie. Q1(b)
i of3
x4ELE15l25
OR
a. With a neat diagram, explain the principle of operation of single phase induction type energy
meter" (06 Marks)
b. Derive the emf eqlrarlion of a DC generator. (s6 Marks)
c. A 44A V Dc shunt motor takes an armature current of 20 A and runs at 500 rpm. The
arrnature resistance is 0.6 (). If the fiux is reduced by 30% and the torque is increased by
4frok, aaloulate the new value of armature current and speed"
Module-3
5 a" Define the foilowing with reference to AC quantities : i) Instantaneous vaiue
iii) 'Iime period iv) Form factor v) Peak factor.
b. When 22A V AC supply is applied across AB terminals for the circuit shown in
input is 3.25 KW and the current is 20A. Find the curreni througle 23.
ia.
II
V, $O H rz:.
Fig. Q6(c)
!4sdsle-4,
List the a<lvantages of 3-ph system over l-ph system.
k6 : 0.97, ancl fullpitch winding.
(CI8 Marks)
ii) Frequency
{05 Marks)
Fig. 5(b), the
(89 Marks)
Fie. Qs(b)
e. Explain the working of three-way control of lamp with the help of switeiring tabie.
{06 Marks)
OR
a. With a neat diagram explain the working of RCCB. {s5 Marks)
b. Frove thaiL a pure capacitc,r do not consume any power. (06 Marks)
c. A coil of p.f. 0.6 is in series with a 100 pF capacitor. When connected to a 50Hz suppiy the
p.d. across the coil is the p.d. across the capacitor. Find the resistance and inductance of the
ooil for the circuit shown in Fig. Q6(c). (SE &{ar}<s)
-]ti
Three 50f) resistors are connected in star across 400V 3-ph supply :
i) Find phase current, line current and power drawn frorn'supply
ii) What would be the above vatrues if one of the resistors were disconnected? (05 Marks)
What are ttrre advantages of rotating field type alternator? {83 Marks)
A 2*po1e, 3-ph altemator running at 3000 rpm has 42 armature siots with 2 conductcrs in
each slot. Calculate the flu></pole required to generate a phase voitage of i 100 V. Assurne
(06 Marks)
4 = 5cJ lasL
to&r-B $-
a
2 of3
(ES Marks)
Derive an emf equation of alternator.
14Eg,et5/25
(S6 h'flarks)
b. A L2 pole 500 rpm star connected alternator has 48 slots with 15 conductcrs/slot the
flux/pole is 0.02 Wb and is distributed sinusoidatrly. The winding factor is 0.97 caleulate the
line emt" (84 [,tarks]
c. Derive a relation between line current and phase current in case of 3 - ph Delta connected
ioad" qS6 Marks)
d. Three similar coils are connected in delta across a 3*ph supply. T'he two wattmeters
connected to measure the input power indicate i2 KW and 7KW. Cak:illate :
1) Fower input
i* Forver factor of the load. (04 Marks)
Module-S
a. Explain various losses in transformer. How these losses can be mmirnized? (05 l?tarks)
b. A 50CI KVA transformer has an efficiency of 92% both at futl toad unitv p.f, and katrf lcad
0.9 p.f. Determine its efficiency at75o/o of fullload and 0.9 p.f, {&7 &!arks)
c. List the differences between squirrel cage and wound rotor induction motor. {{}4 &4arks)
d. A 4-pole,3-ph lM is supplied from 50 Hz supply. Find its synchronous speed. On full troad
1(}
its speed is observed to be 1410 rpm. Calculate its full load slip"
OR
a. Explain the necessity of starters in 3-ph induction motor.
b. .A 3-ph lM with 4-pole is supplied from an alternator having
1000 rpm. Calculate :
i) ?he synchronous speed of 1M
ii) lts speed.when sXip is 0.04
iii) Frequency of the rotor emf when the speed is 600 rpm (s6l{arks}
c. Define the vcltage reguiation of a transforrner. What is its importance? tE4ltarks)
d. ,& 500 KVA transformer has Nr : Nz : 300 : 20. The primary winding is connected to a
22AA V,50 F{z supply calculate :
i) Secondary voltage on no load
i0 Approximate values of primary and secondary currents on full load
iii) T'he maximum value of the flux.
(S4 Marks)
(04 Nlarks)
6-poles and running at
(06 &4arks)
3 of3
LISN IsEME14
First Semester B"E. Degree Examination, Dec"2015 lJan.20l6
Elernents of Mechanical Engineering
Time: 3 hrs. Max. Marks: 80
Note: Answer any FIVE full questions, choosing one full question from each module.
Module-1
1 a. Define solar constant and explain liquid flat plate collector with a neat sketch. (0s Marks)
b. Explain principle of nuclear power plant with aneat sketch. (08 Marks)
(.)
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OR
2 a. Define enthalpy and explain formation of steam with a T-S diagram.
b. Explain Babcock and Wilcox boiler with a neat sketch.
Module-2
3 a. Define Turbine & explain De Laval turbines with a neat sketch and
b. Explain closed cycle gas turbine with a neat sketch.
(08 Marks)
(08 Marks)
P-V diagrarn. (08 Marks)
(08 Marks)
(08 N{arks)
sketches:
(0E Marks)
coordinate with a suitable
(08 Marks)
($8 Marks)
OR
4 a. Explain 4-stroke SI engine with a neat sketch and PV diagram. (08 Marks)
b. Define indicated power and brake power. A four stroke IC engine running at 450 rpm has a
bore diameter of 100 mm and stroke length 120 mm. The indicator diagram details are :
Area of the diagram 4 cr*,length of the indicator diagram 6.5 cm and the spring value of
the spring used is 10 barlcm. Calculate indicated power of the engine. (08 Marks)
Module-3
a. Explain with neat sketches,
D Plain milling
ii) End milling.
iii) SIot milling.
b. Explain the following machining operations on lathe machine with suitable
i) Turning.
ii) Thread cutting.
iii) Knurling
iv) Facing
OR
6 a. Write classification of robot configurations and explain Cartesian
sketch.
b. Define automation and explain flexible and fixed automation.
I of2
a.Writec1assificationoffeirou,,*unoH.o*,,,etalsandexplainbriefly.
b. Write a short note on composites.
OR
a. Define soldering and explain electric arc welding with a suitable sketch.
b. Explain oxy-acetylene welding process with a sketch.
b.
158${E14
(08 Marks)
{08 Marks)
(08 Marks)
(08 Marks)
a.
Module-5
Define the following:
D Ton of refrigeration.
ii) Refrigerating effect.
iii) Ice making capacity
iv) COP {08 Marks)
Explain principle and working of vapour compression refrigeration with a sketch. (08 Marks)
OR
t0 a. Explain with a sketch working of room air conditioner.
b. List out properties of a good refrigerant and explain any two.
{<**{<{<
(08 Marks)
(08 Marks)
2 of2
USN IAENIIEl4l24
015 / Jan.20l6
ring
Max. Marks:100
First/Second Semester B.E. Degree E lna
Elements of MechaniG
Time: 3 hrs.
Note: Answer FIVEfull questions, selecting
ONEfull questionfrom each module.
l'%" {
&s,
Module - I i,,tr
fl-hn **
1 a. Name three renewable and non-renewuuGo-gyr*rrces and compare them for 4ruffilug.t
n; and disadvantages. (08 Marks)
'E b. Defure calorifiC value of fuel. Explain higher calorific value and lower calori{ic value.dr
-+ 4n .i (06 Marks)
p c. With a neat sketch, explain application of solar flat plate collector. (06 Marks)
a
d
E 2 a. Define the following terms in relation to steam:
g r) Dryness fraction.
gs ii) Latent heat.
gE iii) oegree of super heat.
E S iv) Saturation temperature (08 Marks)
SJi b. Differentiate between water tube Boiler and Fire tube Boiler. (06 Marks)
:E & c. List the boiler mountings and accessories and alpmention their uses. (06 Marks)s -f, a- -----''E+
bx0
6)tr
€EI I Motlule-2=€
E
'E 3 ?. Sketch and explain working of reaction steam turbine.
E I - ".; (to Marks)
€Eo.E-
: d 5 a. With affi.iketch, explain the following luth. op."utions
t
=
J a. DKeIcn ano expram worKmg oI reactlon'steam turbme. (08 Marks)
P A b. Describe the working principle of a closed cycle gas turbine with neat sketch. (07 Marks)
? E c. How water turbines are classified-? (05 Marks)
EF' k" t'
E ! 4 a. Explain with neat sketch co4ffition and working of 4-stroke diesel engine with the help of
a= theoretical P-V diagra.. .,#"
a
(10 Marks)d(i
E g b. A Gas Engine workingffi-stroke cycle has a cylinder diameter 300 mm and stroke length
E C of 500 mm is runnirg;#20 rpm.Its mechanical efficiency is 80% when the mean effective
5 E pressure is 0.65 Mf#Ytind i) Indicated power ii) Brake power iii) Friction power.'E s ";"
' no Marks)
F E r#Ls.LJiJrruurru4r LuruulE.
3
g r@)'Knurline.
hF ffiYr) Thread cutting. (08 Marks)
€ g "W&b
- Define automation. Discuss the different types of automation. (06 Marks)
e '9 "'
---- -d-6-*
g E i)..ffing
H E iffiiilindricat turning.
o= k
E$ *ffi
I ru6ry"
5q "'
Differentiate between:deu -
S* i) Drilling and Boring.
5K " ii) Counter boring and counter sinking. (06 Marks)
-.: c.i
ij 6 a. Explain any two types of Robot-configuration. (08 Marks)
2 b. What are NC and CNC machines? Mention the difference between them. (06 Marks)
E c. What are the different operations commonly performed on milling machine? Explain any
E two. (06 Marks)
tr
I of2
(07 Marks)
b. Define composite material. How composites are classified? (07 Marks)
c. With neat sketches, explain different types of Flames used in Gas welding. (06 Mark$
m* #/
8 a. What is welding? Explain electric arc welding with sketch. (01|${#ft5)
b. Differentiate between soldering, brazing and welding. /@farks)
c. Explain the advantages and limitations of composites. **-'(ffi Marks)
rffi"
Module - 5 &*W
9 a. What are the desirable properties of Good refrigerants? q--l (06 Marks)
b. With suitable sketch, e^ptain working of vapour compression refriffirt (08 Marks)
c. Define the following: * # no
i) Ton of refrigeration. u*[M
-
ii) Refrigeration effect. h.
iii) C.O.P. {}rt (06 Marks)
10 a. What is principle of refrigeration? Name essential
ffi of refrigerator, and briefly explain
their functions. rry (06 Marks)
b. Explain the construction and working of roomgiffiditioner. (08 Marks)
c. Explain the various applications of air condffig. (06 Marks)
d
t*fl{'
* * '& 'F
tA&IMEI4l24
Module - 4
a. State the composition and applications of Carbon steels used in Engineering applications.
{i
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7
(B
First Sernesten" B.E" Degree Examination, Dec"15/J4n.2015
Gonstitution of India, Professional Ethics and Human Rights
(coMMoN TO ALL BRANCHES)
Tirne: 2 hrs. Max. Marks:40
T}{ST'RUCTIONS TO T}IE CANDIDATES
Answer ail the fourty questions, each question carries one mark.
dJse oniy Black ball point pen for writing / darkening the circles,.
For each question, after selecting your answer, darken the appropriate eircle
eorresponding to the same question number on the OMR sheet.
Darkening two circles for the sarne question makes the answer invalid.
Darnaging/ovenwriting, using whiteners on the OMR sheets are striotly
prohibited.
1. The federal feature of the Indian Constitution provides for :
a) Distribution of legislative powers between the Union Governrnent and the Staie
G0vernment.
b) Division of powers between the Executive and Judiciary.
c) Distribution of powers between the Lok Sabha and Rajya Sabha.
d) Distribution of powers between the Frime Minister and Cabinet.
2. Horv many mernbers are nominated by the President to the Lok Sabha byr the Anglo -
Indian Cornmunitv?
a) Two b) Twelve c) Twenty d) One
3. The main objectives of the Directive principles of State policy are aimed to secure a :
1.
7
4.
5.
One of the irnpediments to discharge the responsibility of Engineers is :
a) Interflerence by Superior officials b) Political influence
c) Selfldeceptlon d) Lack of talent arrd skill
5. Who is the appointing authority of the chair person anct other raemtrers of National
Human Rights cornmission in India?
a) Chief Justice of India
c) Prirae Minister of India
a) Secular State
c) Non - religious State
b) Welfare State
d) State of Integrity
b) President of nndia
d) Union Home Minister
{Jnder which Amendment, a new Article 21 * A was inserted and it provides for "Right
to Education" was made a fundamental Right?
a) The 75th Arnendrnent (i994) b) 86'n Amendrnent QA02)
c) The gl" Arnendment (2003) d) The 42nd Amendment (1976)
-A1-
lsCIlHl g
.:
7
" Which of 1;he follornzing is not treated as an intellectual propeity?
a) Fatent b) Copy right c) Statute d) Trade rnark
E" Tlie Chief'Eiection Comrnissioner can be removed frorn his office before the expiry of
term by the :
a) Chief Justice of india
h) Prirne Minister orr the recommendation of cabinet.
c) Fresident on the recommendation of Parliament after the Impeachment.
d) Presidernt on the advice of Chief .Iustice of India.
9. Ail arrested person is to be produced before the Magistrate within
a) 48 hours b) 35 hours c) 2 months d) 24 hours
10. Who has proposed the "Doctrine of Rule of Law"?
a) Montesiqueua b) It'ulahatrna Gandhi
c) Dr. A.V. Dicey d) Austin
11. Directive prinaiples of State Policy (Part - IV) are included in our Constitution fi'orn
Artictres :
a) 36 to 51 b) 12 to 35 c) 39 to 54 d) 330 ta 342
12" Who r,rras the first chair person of National Human R.ights Comrnission?
a) Shri Justice M.N. Venkatachaliah b) Shri Justice Ranganath L4islra
c) Shri A.P.J Abdul Kalam d) None of these
13. To whom the lndian Constitution has given the power to pardon the sentence of Death?
a) Chief Justice of Supreme Court b) Governor of State Government
c) Fresident of Union Government d) Both (b) and (c)
A4. What are the provisions which cannot be suspended during National emergency?
a) .Afis. 14 to 16 b) Arts. 2A and}l c) Arts.29 and 30 cl) Arts. 23 and24
15" When did the National Human Rights Commission is estabiished in India?
a) 1956 b) 1983 c) 1993 d) i994
16. For an,r, violation of Fundarnental Rights enshrined under Part - IIi, the F{igh Court or
Supreme Court can issue
a) A;r Ordinance b) A Notification c) A Writ ci) A ci.ecree
77. One cf the essential of the Engineering profession is
a) I{ardrvortr< b) Engineering skill c) Honesty d) Expert knowledge
18. The right to lifb and personal liberty does not include
a) Tlie right to legal aid b) The A"ssembl3z.peacefully
c) The right tto privacy d) The right to dignity
19. 73'd and 74th Corrstitutional Amendments are related to :
a) Land Reforms b) Anti defection law
c) Local Slelf - govemment d) Extension of reservation to SoS and STs.
.M-
.a-
t
l5CPE{18
20.
prosecuted and punished for the same offence more than once" is :
21. In an Engineering Professional Ethics, a'fault - tree' is a method used to
a) Ciaim compensatron b) fix the liability on Employer
c) Assess the honesty of Engineers d) Assess the risk involved
22. The term of,member of Rajya Sabha is
a) 5 years b) 4 years c) 6 years d) 3 years
23. The 'Money Bill' can be introduced only in
a) Ex- Post faeto law
c) Double zeo Pardy
a) Cabinet meetings
c) Ra3ya Sabha
a) 5ti years
25. Which test is
Article 14?
a) Crearry layer
c) Intelligible differentia
26" Stealing of intellectual property means :
a) Fresident
c) Farliament
The head of the City Corporation is
a) Commissioner of Corporation
c) Municipatr Fresident
%'d of seats are reserved for women in
a) The Cabinet
c) The Local- Self Government
b) Multizeo Pardy
d) Acquittance
b) Joint - Session
d) Lok Sabha
Caste or religion
Educational qualification
b) Prime Minister
d) Chief Justice of India
b) Deputiz Commissioner of District
d) Mayor
The Vidhan Sabha
The Lok Sabha
24. A Judge of the Fligh Court holds office until he attains the age of
b) 60 years c) 62years d) 65 years
to be followed to classify the people into categories or grcup under the
b)
d)
)1
28.
a) Cooking b) Forging c) Plagiarism d) llrimnings
'Fanchayat R.aj', as introduced in 1959, is mainly aimed to
a) Educate the farmers, who are residing at the villages
b) Frovide rural emplo),ment to the village people
c) Fromote the working for the up liftment of scheduled caste
d) Develop and to improve the conditions of people by introducing a Self government at
the village, taluk and district levetrs.
The 'Writ of Mandarnus' shall not be issued to do their duty, against
a) Public servant b) President of lndia
c) Intemational Airport authorities d) Prime Minister of India
29. Who appoints the Chairman of the Union Public Service Commission?
J tr"
b)
d)
JI.
-A3-
} sCPTIl8
32. Ttre Supreme Court has original Jurisdiction to decide the
a) Dispute. between two or more states
'b) Dispute between lndia and Pakistan
c) Dispute arises at clifferent levels of Self government
d) Criminal cases filed directly to Supreme Court by any citizen.
33" Which one is not the way of rnisusing truth worthiness?
a) Fatenting b) withholdings information
c) Deliberate information d) lying
34. Which part of the Constitution contains provisions regarding the iniplementaiion of
Fanchayat Raj in the Country?
a) The Preambie b) Part - Iitr dealing with Fundamental Rights
c) Fart - IV dealing'witkr directive principles
d) None of these.
35" The Cath of office to the President of trndia is adrninistered by
' a) The Chief Justice of India b) The Vice - President of India
c) Attomey - General of India d) Prime Minister of India
36. 'I'he Chief Justice and other Judges of the Supreme Court hold office :
a) For life b) TiX the age of 60 Years
c) Till tiie age of 62 years d) Till the age of 65 years
37. Cne of the fonlowing is not inciuded under the category of 'Human Rights' :
a) Right tr: life and liberty b) R.ight to Equality
c) Right to dignity
d) Rights of prohibition of employment of children in factories.
3E. Wliich Court laas,authorized to decide the cases of violation of Human Rights?
a) Supreme Court b) High Court c) Session Court d) Civil Court
39. Whc is the Presiding officer of the .loint * Session of Parliament?
a) Frime Minister b) Parliamentary affairs Minister
c) President d) SPeaker
40. Sexlral i:larassment of a working women is violation of
a) F{uman Right b) Fundamental Right
c) Directive principle d) Fundamental duty
-1.4-

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1st Semester Physics Cycle (Dec-2015; Jan-2016) Question Papers

  • 1. USN Time: 3 Hours ffiG$ 4.G First Sernester B.E. Degree Examination, January COMPUTER AIDED ENGINEERING DRAWITSG (coMMoN TO ALL BRANGHES) Max. Marks: 80 Note: 1. Answer three full questions. 2. Use 44 sheets supplied. 3. Draw to actual scale. 4. Missing data, if any, rnay be assumed suitably. 1. a. A point is 30 mm behind VP, 30 mm above HP and 25 mrn in front / 10 Marks behind /from LPP. Draw its proiections and name the side view. b. A line AB has its end A 20 mrn above the FIP and 15 rnm in front of the t5 Marks VP. The other end B is 60 mm above the HP and 45 mrn in front of ry'F. The distance between end projectors is 70 mm. Draw'its prc,jections. Determine the apparent lengths and true inclinations. OR I. A 30'-60" set square of 50 mm longest side is so kept such that the 25 Marks longest side is in HP, making an angle of -l0o with VP. The set square itself is inciined at 45" to HP. Draw the projections of the set square. 2. A hexagonal pyramid 25 rnrn sides of base and 50 mm axis length is 30 Marks suspended freely from a corner of its base. Draw the projections of the pyramid when the axis appears to be inclined to VP at 45'. 3. A frustum of a square pyamid has its base 40 mm sides, top i5 rnrn sides 25 Mar[<s and height 60 mm, its axis is verticai and side of base is paratrlel to VP. Draw the projections of the fiustum and show the deveiopment of the lateral surfaces of it. OR 3. A pentagonal pyamid of base side 30 mm and axis length 60 nam is 25 Marks resting on FtrP on its base with a side of base perpendicular to VF. Draw its isometric projections.
  • 2. P' Cl,cl"- USN Engineering Mathematics - I Time: 3 hrs" IzXax. Marks: 80 Note: .{nswer any FtrVE filll questions, choosing one full questiom frorn each module. Module-1 Find the #h derivative of _.2 rr a}--,zi",l-qaa66f.2" 2 b. C. o o C! tr a o .n .J da .l] .s& o :iJ otr_C(l) ?r o:i ! !.? =X ,E6l- != 96 =v O-- 0j ?-Y @lI: :o >'9 .--6= o- ;''l -Y ^(Jo O< o Z o C* Find the radius of curvature of the curve represented by * : a(0 - sin 0) , y : a(1- cos 8). (S5 Marks) Find the angle between the curves 12 sin2 0 :4 and 12 : 16 sin 2 0. OR Ify:(x+ JIJ)*thenprove that{*- l)yn*z +(Zn+ Find the pedal equation of rn : a(1 + cos n 0). Find the radius of curvature of the curve rn: an sin n0. (06 Marks) (85 h{arks) l)xyn-' - (n'- rn')y,: 0" (85 Marks) (S5 Marks) (05lvlarks) i06 Marks) (CIS Marks) (05 NIarks) (S6 Manks) (S5 lvlarks) (S5 Marks) 2a. b. L. 3a. b. 4a. b. c. 5a. b. Module-2 Expand sin x in powers of (x - f ) up,o fourth degree term. L Evaluate ,' xe' - Iog( I + x) x+0 K' Ifu : x + y+ z,Ltv : y+ z,ua)v : z then fmd ?{"'t'') . '- A(u, v, w) OR Find the Maclaurin's series expansion of sec x upto xo term. tf V(x,y) : (1-2xy* y')-'' ,nA *|- yg: I V* , then find K. ax'Ay . [**Jri-r - I ^ If u : sin , 1--:f-E t tl.,.n find x4 * ,4 * r9 . |x"+y'+2"j Ax " Ay Az OR I of2 Module-3 Aparticlemovesalongthecurvewhoseparametricequationsarex:t3+ 1, y:t2,2:2t*5 where t is the time. Find the component of its velocity att: I in ttrre direcrlion of i t J + 3K. Find also the component of its acceleration at t: 1 along the normal to I + J + 3K. (0d Marks) Verify whether L: (2x+ yz) I + (4y + zx) J - (62 *xy)K is irrotation,al or not. And find the scalar potential of A " (05 VIarks) If A is a vector point function and $ is a scalar point function then prove that div(g A):gdiv A +(grad$). 4. (ssMari<s)
  • 3. t 't 15MA,T11 6 a. if f : *l+f i*zzKandE:yrI+zx]*xyK,thenverifywhetherrf x $ issoienoidal ($6 Marks)0r n0t. b. Find the d:irectional derivative of $: *' + f + 222 atP(I,2,3) in the direction of line FQ ='4i-2j+k. c. Provo thal; curl (grad $) : d. (05 Marks) (05 Marks) (06 Nlarks) (05 Marks) (06 N{arks) (S5 h{arks) (05 Marks) (06 Marks) ;y3:-2xrtxzis (05 Marks) (05 Marks) (86 Marks) (05 Marks) 7a. C" 8a" 94. b. Modulq4 % Ohtaira the reduction formula for Jsin' x dx. Hence evaluate I t* n x dx. % Solve (4x1'+ 3y'- *) dx + x(x+2y)dy: 0. Find the Orthogonal trajectories of the family trn: an sin n0, where a is the parameter. (05 Marks) OR b. r] - r* xudx hvalttate I -----------_ '1, t+**')'" ^, d:r 3 o botvexi-+y:x y. d;< A bo,Cy is heated to 1100C and placed in air at 100C. After one hour its temperature become 600C. Horv much additional time is required for it to cool to 300C? Module-5 Solve the llbllowing system of equations by Gauss -.Iordan rnethod : x*y*2,=8 ; -x-Y-tZz:-4 , 3x+ 5y-72:14. Verifrf the transformation y1 : 19x1 - 9x2 * 24 ; yz: -4xt * 2x2 - x3 regulrlr or not and fmd the inverse transformation if possibie. Re<iuce the matrix to the diagonal form (r 1 A== | l. [3 -t) OR Solve the following system by Gauss - Seidal method :X0 a. b. ' 20x1 y -.22": I7 i 3x + 20y -z: -18 ; 2x-3y + 202:25. Perform three iterations. Determine ttrre largest eigen value and the corresponding eigen vector of (z -r o') a == | -t z -l I usingPowermethod. [o -r 2) Take (1, C), 0)r as the initial eigen vector and perform four iterations. o. Reduce the quadratic forrn : -2 -2,n28x- | 7y + 3z' - l}xy + 4xz - 8yz into canonical form. ,r**r<* 2 of2 (05 Marks)
  • 4. USN - Examinarlf 14MAT11 an.2O16 Max. Marks:100 (06 Marks) then prove that (07 Marks) (07 Marks) (06 Marks) (07 Marks) (07 Marks) (06 Marks) (07 Marks) First Semester B.E. Degree Engineering Time: 3 hrs. Mathemitic**f{Sz/ b. any point of the cycloide x = a(e + sur 0); (07 Marks) and r=a(l-cos0) eilt each other orthogonally. (07 Marks) OR 2 a. If x=sint and y=cospt thenprovethat (1-x')y,*, -(2n+l)xy"*, +(p'-n')y, =0. 3a. (07 Marks) (06 Marks) (07 Marks) then prove that (07 Marks) l* r- 2" =1+ x - x' *{*L+....... Note: Answer FIVEfull questions, selecting at least ONE questionfrom each Part. Part * I n l- rblL a. If y=e* sin(bx+c) thenprovethat y, =(a2 +b')j.* rrrrl (U*+c)+ntan 'l: ll. L a/_j (06 NIarks) C: b. c. b. C) o o d ! p' 0) (n o ?o X=-:> X- d9 7h -*il l@ .g c(d$ =.ts() -o *,a o() -o>- -(.) 5.v i1 X trE o.j e'iitc)atE !o o.->1 (F = otl u= trt o U< : c..i o f p. Show that the radius of curvature at y = a(l - cos 0) i, +u .or[9) . 2) Show that the two curves r=a(l+cos0) b. Show that the Pedal equation for the curve r'o =a'' cosm0 is Pa'" = r''nl c. Derive an expression for radius of cur-vature in polar form. part - Z If 'u' is a homogenous function of degree 'n' in the variable x and y, au au x-+v--nu. dX CN Using Maciaurin's series prove that, 4a. L. 5a. 2324 If z is a function of x and y where x=e**e-u and y=e-'-eu, 0z 0z 0z 6z :A-- Y-. fu av Ax 'Av OR . -,[^' + u'I au au lIu=sm l- -lthenprovethatx- +y- =tanu. Lr+yl & "av - [r- +b* +.- *d^llhrraluate ltl_lx+of 4 l If u=x+y+ z.uv-y+z and uwv=z thenshowthat ?"va =u'v. D(u v w) Part - 3 A particle moves along the curve x=(1-t3), y=(1+t2), y=(2t-5) determine its velocity and acceleration. Also find the components of velocity and acceleration at t : 1 in b. the direction of 2i + j + 2k Using differentiation under integral sign evalua,. i{aldx , cr > 0 Jn 1og x Apply the ge0eral rules to trace the curve r = a(l+ cos0) . 1of 2 c.
  • 5. OR Apply the general rule to trace curve y'(a - x) = x'(a + x), a>0. >t^^ Show that F=(y' - z' +3yz-2x)i+(3xz+2xy) j+(3xy- 2xz +22)k is and irrotational. Show that div(curlA) = g. Part - 4 7 a. Obtain the reduction formula for J cos' xdx where 'n' being the positive integer. 6a. b. c. b. c. 14MAT11 (07 Marks) both solenoidal (06 Marks) (07 Marks) . (07 Marks) (06 Marks) 3 parameter is self (07 Marks) (07 Marks) (06 Marks) (07 Marks) Solve (ycosx + sin y + y)dx + (sin x + xcosy + x)dy=9. Show that the family of curves + * , 1 , = 1, where )" is a +)" b'+)" orthogonal. OR L 4 Evaluate [.oru xsin u xdx . I 0 Solve "'(9-* l) =.^. d* ) 8a. b. c. 9a. b. 10 a. A body originally at 80'C cools down to 60oC in 20 minutes. The temperature of air being 40oC. What will be the temperature of the body after 40 minutes from the original? (07 Marks) Ir Find the Rank of the matrix | 5 la Find the largest eigen value and using the Rayleigh's power lz o rl ltA=10 2 0l Ir o 2l Part - 5 2341 6 7 81. I 7 0 s_l the corresponding eigen vector of the given matrix 'A' by method. Take tl 0 0]' as the initial eigen vector. (06 Marks) Solve 2x+y+42=12, 4x+1ly-z=33 and 8x-3y +22=20 by using Gauss (07 Marks)Elimination method. OR Solve by LU decomposition method, 3x+2y +72=4 2x+3y*z=5 3x + 4y * z=7 (07 Marks) Reduce the quadratic form 3x'+5y'+ 322 -2y'+2zx-2xy the canonical form and specify the matrix of transformatiol. (06 Marks) Show that the transformation y, =Zxri x2 +x3 , yz=xr +x2 +2x, y3:xr-2x, is regular and also write down the inverse transformation. (07 Marks) 8*Ajr* 2 of2 b. c.
  • 6. USN Modulql Solve y" + 4y' - l2y: e'* - 3sin 2x. t2 By the method of undetermined coefficients solve 14 * y: 2 cos x. dx- Solve by the method of variation of parameters y" + 4y: tan}x. OR 14 a ^, GYa 6. Soive ,+ + m=y = 0. GX b. Solve (D'+ 7D + 12)y: cos hx. c. By tlie method of variation of,parameters, solve y" + y: x sin x. 14MAT21 (CI6 Marks) (07 Marks) (G7 Marks) (G6 NIarks) (07 Marks) (07 l{arks) , gY' - 2x-cos t: 0 given that x : o-dt {07 Marks} (07 Manks) (06 Marks) (i)7 h4arks) (S7 Ntrarhs) (S5 Marks) are arbitrary (S7 Marks) (S7 S'farks) {05 Marks} Second Sernester B.E. Degree Examination, Dec.20l5/Jan.201,5 Engineering Mathematics - ll Time: 3 hrs. Max- Marks: 100 Note: .dnswer any FIVE full questions, choosing one full questiom frorn eaetr module.c) O or E c3 o bo- cd= =^- -a -' brl ,*I -O u2 ,4e !v oaJ 69 ,d '-^ o-X oi. ots ca o.- >',+ (-):5 -dgtu 2.v! :q rJ< - ai o o'7 o tr t^I O. b. a- Module-2 dx - t')rt fcln f - ll dt t]. Solve the simultaneous equations and y: 1 when t: 0. Solve x' y" - xy' + 2y = x sin (1og x). ^, dy dx x y SOlVe --:--- =--- dxdyyx 4a. b. c. 5a. OR Solve (x + a)2 y" * 4(x + a)y'+ 6y: x. / Solveo:tanl*- P = l.' (. l+p') Find the general and the singular solution of the equation y: px + p3. Module-3 Form the Partial Differential Equation of z : y f(x) + x g(y), where f and functions. Derive one dimensional heat equation. Evaluate f f, .-'" '"' d* dy by changing into polar co-ordinates. J) o0 b. OR I of2
  • 7. , ozS a. Solve - : sin x sin y. 0^Ay mutrtiptre of nl2. 7a. U. C. 14MAT21 for which ?: -Z sin y when x : 0 and z:'A , when y is an odd Ay (CI7 Marks) b. Evaluate ff xyAxay, where R is the region bounded by * - axis , the ordinate x:2a and the R 2^paraDolax:+a)/. cba c. Evatruate I" {, | $' + t' + zz) dzdy dx. (07 Marks) (&6 Marks) (07 Marks) (86 Martr<s) (07 Marks) (CI? Marks) (06 Marks) {ii7 Marks) (07 Marks) (05 Marks) (07 Marks) (07 lVlarks) (06 Marks) (07 Marks) 8a. 10 a. LJ. 9a. b. b. c. Module-4 Define Gamma function and Beta function. Prove thatV : J-n . l/2 Expness the vcctor i = ri -Zii+ yt i, cylindrical co - ordinates. Find the volume common to the cylinders *' + t' : az and x' + z' : a'. OR Frove that B(m, r): E. l(m + n) Show that the area between the parabohs f :4axand x2 : 4ay is ]9 a'. J Frove that the cylindrical co-ordinate system is orthogonal. ]VIoduIe5 Find L{e-zt sin 3t + et t cost}. Find the inverse,Laplace transform of *ffii, Solve y" *6y'-| 9y: l2t2 e-3' by Laplace transform method with y(0) : 6 : y'(0). OR [cost, 0<t<n Express f(t):l 1,, 7r<t<2x',| Isint, t>2n in terms c,f unit step function and hence find its Laplace transforrn. Salve by I-aplace transform y" + 6y'+ 9y: 72t2 e'3t with y (0) : 0 : y'(0). Icos at- - cos bt I l.t) &&&&& 2 of2
  • 8. I.JSIN 1sPHY12 (84 Marks) {06 Marhs) for electrical conductivity of a (06 Marks) 10-3 ohm-m, (84 Marks) First Sernester B.E. Degree Examinatidn; ec"201si.Ian.Z015 O o O a. (s a) af oa aJU troo 6:! otrio 4JY: ":=!ni: ou g =.ea >6 tr5 o+ b-F ui o.i xq- O= =sgO t< ; o Z d o. Engineering Physics Time: 3 hrs" Max" Marks: 80 Note: X. Answer any FIVE full questions, choosing one full question fi'orn each module. 2" Physical Constamts: Velocity of light, c : 3 x 108 ms-r Planck's constant, h: 6.625 x 10-34 .fS Mass of electron, m:9.1 x 10-3I kg Boltzrnann constant, K: 1.38 x 10-23 JI(-r Avogadro number, Na:5.02 x 1026/Kmol. Module-1 1 a. Show that Planck's law reduces to Wein's law and Rayleigh-Jeans law at lower and higher wavelength limits respectively. (05 Marks) b. Setup time independent Schrodinger wave equation in one dimension, (06 Marks) c. A particle of mass 940 MeV/cz has kinetic energy 0.5 KeV. Find its rJe-Broglie wavelength, c is velocity of light. (04 Manks) oR. 2 a. Define phase velocity and group velocity. Obtain the relatioqhetweera therr. (06ltarks) b. tr-Ising Heisrenberg's uncertainty principle, prove that electrons cannot exist in a nucleus. (06 NIarks) c. The first excited state energy of an electron in an infinite well is 240 eV. What will be its ground state energy when the width of the potential well is doubled? (04 l{arks} Module-2 3 a. What is Fermi energy? Discuss the probability of occupation of various energy states by electron atT :0K and T > 0K on the basis of Fermi factor. (05 Manks) b. What is i{eissner's effect? Explain Type-I and Type-II super conductors. ((}6 Marks) c. The effective mass for the electron in germanium is 0.55 mo, where ma is the free electron inass. Find the electron concentration in Germanium at 300 K, assuming that the Fermi level lies exactly in the middle of the energy gap, given that the energy gap for Germanium is 0.66 eV. OR 4 a. Explain the success of quantum free electron theory. b. Explain the law of mass action and derive the expression serniconductor. c. Find the relaxation time of conduction electrons in a metal of resistivity 1.54 x if the metal has 5.8 x 1028 conduction electrons per m'. Module-3 5 a. Obtain an expression for energy density of radiation in terms of Einstein's coefficients. {06 Marks) b. What is numerical aperture? Obtain an expression for nurnerical aperture in teritrs of relactive indices of core and cladding of an optical fiber. (06 Marks) c. The ratio of population of two energy levels is 1.059 x 10-30. Find the wavelength cf light ernitted at 330 K. I of2 iS4llXarks)
  • 9. 15PHY12 OR a. Explain construction and working of carbon dioxide laser device. ({}6 Marks) b. With neat diagrarns, explain different tlpes of optical fibers. {$6 ll{arks) e. The atteruration of light in an optical-fiber is 2 dBlkm. What &action of its initial intensity remains after (i) 2km, (ii) 5 km? (04 Marks) Module-4 a. Define lattice points. Explain the crystal structure of diamond with neat sketch. (06 Marks) b. lllustrate the procedure to find miller indices of a given plane and calculate the atomic packing factor for F'CC. (S6 h{arks) c. A beam of x-ray with wavelength 1.5 A; undergoes second order Bragg's reflection from the plane (211) of cubic arystal at glancing angle 54.38o. Calcutrate the lattice constant. (04 Marks) OR I a. V/hat is Eiravais lattice? Obtain an expression for the interplanar spacing of planes in terms of Miller indices for cubic lattice. b. Describe the construction and working of a Bragg's x-ray spectrometer. c. Draw the following planes in a cubic unit cell: iii) (2 0 0) iv) (1 1 0)i) (r 02) ii) (r r2) (06 Marks) (06 Marks) (04 Marks) Module-S 9 a. Describe the construction and working of Reddy's shock tube. (06 Marks) b. What aro nanomaterials? Write a note on sol-gel method of preparing nanornaterials" (86 Marks) (04 NIarks) OR l0 a" Describe rlhe principXe, construction and working of a scanning electron microseope. (06 Marks) (06 Marks) 150 mm. The time taken by of sound under the same (04 Marks) {.j,<4** c. Define folach number, subsonic waves, supersonic waves anci Mach angle. b. Explain the structures and applications of Carbon nanotubes. c. The distance between the two pressure sensors in a shock tube is a shock rvave to travel this distance is 0.3 ms. If the velocity condition is 340 ms-'. Find the Mach nurnber of the shock wave. 2 of2
  • 10. USN IsPHY12 First Semester B.E. Degree Examination, Dec.2015 I Jtn.20l6 Engineering Physics Time: 3 hrs. N{ax. Marks: 80 Note: 1. Answer any FIVE full questions, choosflng one full question from each rnodule. ' 2. Fhysical Constants: Velocity of tight, c :3 x 108 rns-r Planck's constant, h:6.625 x 10-34 JS Mass of electron, m:9.1 x 10-3t kg Boltzmann constant, K: 1.38 x 10-23 JI(-r Avogadro number, Na :6.02 x 1026/Knaol. Ntod_ule-l I a. Show that Planck's law reduces to Wein's law and Rayleigh-Jeans law at lower and higher wan,elength limits respectively. (06 Marks) d) o o. d i .o I ?a coo .S . *,a U(J --, :i >i -6d4 !5 37) or: c-- o --I 7.2 6: @'I €c O.= >'h bo-E or] O= c- ;'i aa o9, :! (r< . ^; ; Z g, 5 b. Setup time independent Schrodinger wave equation in one dimension. (06 Marks) c. A partiele of mass 940 MeV/c2 has kinetic energy 0.5 KeV. Find its de-Brogtrie wavelength. c is velocity of light. (04 Marks) OR 2 a. Define phase velocity and group velocity. Obtain the relation between them. (06 Marks) b. Using Heisenberg's uncertainty prineiple, prove that electrons cannot exist in a nucleus. (S6 NIarks) c. The first excited state energy of an electron in an infinite well is 240 eV. What will be its ground state energy when the width of the potential well is doubled? (04 Marks) Modrrle-2 3 a. What is Fermi energy? Discuss the probability of occupation of various energy states by electron at T : 0K and T > 0K on the basis of Fermi factor. (06 Marks) b. What is Meissner's effect? Explain Type-I and Type-II super conductors. (05 Nlarks) c. The effective mass for the electron in germanium is 0.55 m6, where mo is the free electron rnass. Find the electron concentration in Germanium at 300 K, assumingthat the Ferrni level lies exactly in the rniddle of the energy gap, given that the energy gap for Gerrnanium is 0.66 eV. OR a. Explain the success of quantum free electron theory. b. Explain the law of mass action and derive the expression for electrical (04 Marks) {06 Marks) conductivity of a serniconductor. (06 N{arks) c' Find the relaxation time of conduction electrons in a metal of resistiv'it y I .54 x 10-8 ohrn-m, if the metal has 5.8 , 1028 conduction electrons per m'. (04 N{arks) Module-3 a. Obtain an expression for energy density of radiation in terms of Einstein's coefficients. (06 Marks) b. What is numerical aperture? Obtain an expression for numerical aperture in terms of re&active indices of core and cladding of an optical fiber. (06 Marks) c" The ratio of population of two energy levels is 1.059 x 10-30. Find the wavelength of light emitted at 330 K. L of2 (04 Marks)
  • 11. 15F}IY12 OR a. Explain construction and working of carbon dioxide laser device. (06 Martrrs) 'D. With neat diagrarns, explain different types of optical fibers. (06 Marks) c. The attenuation of light in an optical-fiber is 2 dB/km. What fraction of its initial intensity rernains after (i) 2km, (ii) 5 km? (04 Marks) Module-4 a. Define trattice points. Explain the crystal structure of diamond with neat sketch. (06 Marks) b. Illustrate the procedure to find miller indices of a given plane and calculate the atomic packing ftrctor for FCC. (05 Marks) c. A beam of x-ray with wavelength 1.5 A; undergoes second order Bragg's reflection from the plane (211) of cubic crystal at glancing angle 54.38o. Calculate the lattice constant. (04 Marks) OR a. What is Bravais lattice? Obtain an expression f,or the interplanar spacing of planes in terms of Miller indices for cubic lattice. b. Describe the construction and working of a Bragg's x.ray spectrometer. c. Draw the following planes in a cubic unit cell: iii) (2 0 0) iv) (1 1 0)i) (r 02) ii) (l r2) (S6 Marks) (06 Marks) (04 Marks) (05 Marks) (05 Marks) (04 Marks) 9a. h Module-S Describe the construction and working of Reddy's shock tube. What are nanomaterials? Write a note on sol-gel method of preparing nanomaterials. c. Define Mach number, subsonic wayes, supersonic waves and Mach angle. OR lE a" Describe the principle, construction and working of a scanning electron microscope. (06 Marks) b. Explain the struotures and applications of Carbon nanotubes. (06 Marks) c. The distance between the two pressure sensors in a shock tube is 150 mm. The time taken by a shock wave to travel this distance is 0.3 ms. If the velocity of sound under the same condition,is 340 ms-r. Find the Mach number of the shock wave. (04 Marks) 2 of2
  • 12. 7APIJY12122USN on, Dec.20l5lJan.20l6 Engineering Physics t Time:3 hrs. Max. Marks:100 E Note: 1. Answer any FIVEfull questions, selecting € atleast ONEfult questionfrom each part. fr 2. Physical constants : Velocity of light, C:3 x 708 m/s ; * $ Phnk's constunt, h:6.625 * rct'"lS ; Muss of electrons, H: m :9.11 x l[3tkg ; Boltzmann's constant, K: 1.38 x IA23J/K. t 5 Avogadro number, Nl: 6.02 x t d6tX mole. =la*ao ll .E? PART_I.! c d !d' fl f I a. Define phase velocity and group velocity. Derive a relation between the two. (05 Marks) € .g b. What is the physical interpretation of wave function? Explain the nature of eigen values and XF ? Z eigen functions. (06 Marks) E E c. Explain Wein's law and Rayleigh - Jean's law. Discuss their drawbacks. (06 Marks) E -t d. Calculate the de - Broglie wavelength associated with an electron carrying energy 2000 eV. E ts (03 rllarks)_L 6OF $E ; € 2 a. State Heisenberg's uncertainity principle. Using uncertainity principle. Explain the non - € * existence of electron in the nucleus. (07 Marks) a I b. Using time independent Schrodinger's wave equation, obtain the expression for the 6 -lJ * -a normalized wave function for a particle in one dimensional potential well of infinite height. SB (09 Marks) $ € dimension. What is the minimum width required by the electron to be confined in an atom? f # (04 Nlarks) 5€ ;E q '" it.= >'!i S ;" " .,.,;".:i PART - 2 ;=gU E E 3 a. Explain the probability of occupation of various energy state by electron at T : 0 K and ! a T > 0 K on the basis of Fermi factor. (06 Marks) : : "_ *n b. Define Hall Effect and HallVoltage. Derive an expression for Hall coefficient. (06 Marks) , -u,. #": c. Explain BCS theory of Super conductivity. (04 Marks) E - {:-n d. Find the relaxation time of conduction electrons in a metal of resistivity 1.54 x 10-8 Om, if E *. - the metal has 5.8 , 1028 electrons/m3. (04 Marks) a 4 a. Discuss different types of super conductors. (04 Marks) b. Explain Fermi - energy and Fermi - factor. (06 Marks) c. Explain failure of Classical free olectron theory. (06 Marks) d. Calculate the Fermi velocity for the free electrons in gold. Given Er : 5.53eV. (04 Marks) I of2
  • 13. 5a. b. c. L4PHY12I22 PART _ 3 Derive an expression for energy density in terms of Einstein's coefficients. (08 Marks) Explain the construction and working of carbon dioxide laser device. (08 Marks) The attenuation of light in an optical fiber is 3.6 dB/km. What fraction of its initial l+ttegpty remains after i) 1 km ii) after 3 km. ,"@4alVihrks) ,; $lr; a. What is Total internal reflection? Derive an expression for acceptance #tEIYof an optical fiber. " .i (08 Marks) b. Discuss different types of optical fibres. (06 Marks) c. An optical fiber has a numerical aperture of 0.32. The refractive index of cladding is 1.48. Calculate the refractive index of the core, the acceptance angle of the fiber and the fractional index change. (06 Marks) a. b. c. d. PART_4.* Obtain the expression for inter planar spacing of a cubic crystal. Calculate the atomic packing factor for SC, FCC and BCC lattices. Write a note on Perovskite structure. (05 Marks) (06 Marks) (06 Marks) 9a. b. c. ,,rri' d' A sodium chloride crystal is used as a diffraction grating with X - rays. For the d111 spacing of the chloride ions the angle of diffraction 20 is27.50.If the lattice constant of the crystal is 0.563nm, what is the wavelength of X - rays? (03 Marks) a. What is Bragg's law? Explain how Bragg's spectrometer is used for determination of interplanar spacing in a crystal. (08 Marks) b. Discuss the principle and working of Liquid Crystal Display. (08 Marks) c. Draw (100) , (110), (011) and (111) planes in a Simple cubic crystal. (04 Marks) PART _ 5 Distinguish acoustic, subsonic and supersonic waves. (04 Marks) Explain the preparation of nano structure using Sol - Gel method. (06 Marks) Write a note on Carbon Nanotubes. (06 Marks) What are Shock waves? Mention few applications of Shock wave. (04 Marks) Explain the principle, construction and working of Reddy Shock tube. (08 Marks) Explain the preparation of nano structures using Top - Down approach method. Mention any two properties of nano materials. (06 Marks) Explain the construction and working of Scanning Electron Microscope. (06 Marks) 2 of2 10 a. b. c.
  • 14. Lrfi[aAtl , i. ,i t4ctY"t3l23USN First/Second Semester B.E. Deg Elements of Givil Engineering giheering Mechanics d E Time:3 hrs. Max. Marks:100 +._ry € Note: Answer FIVE questions, selecting ONEfutl questionfrom euch Module;;'i,# € MoDULE-I M;K. $ I a. Briefly explain the scope of any thre. fie1ds of Ciril Bngineering ;.6t vrarks) * 5 b. Write the classification of roads and comparison of flexible and rigid pavemqftF' (10 Marks)(!)x doP gE 2 a. Define Force and write the characteristics of forces with examples. ,l,.S (08 Marks) E a b. Determine angle 0 (0 < 0 < 1805 for the force F :200kN shown,$ufi$. Q2(b), so that it SJt produces : i) Maximum moment about 'A' and ii) Minimum moment about 'A'. :E S Determine maximum and minimum moments. (08 Marks)(dt E a, c. State and explain principle of transmissibility of a force. (04 Marks) € .E MoDULE - 2H! A Z 3 a. State and prove the parallelogram of forces. '" (08 Marks) E .E b. Define Resolution of a force with diagram. (04 Marks) E + c. A barge is pulled by two tug boats as shorqfu'frg.Q3(c). If the resultant of the forces ()a) r b -^erted by the tug boats is 5kN force dirqqffialong the axis of the barge. Determine the e; tension in each of the ropes knowing that g 3+4s0. (08 Marks)ooi .sI /* ; .H 4 a. Define Moments and write the a.p@.{i0al conditions of equilibrium for a coplanar non € € concurrent force system. -," ' ,,",,,i (05 Marks) A g b. Force system shown in fig.Qa(b) has a resultant of 2kN acting up along Y - axis. Compute E ; the force 'F' and its direction{q"with the horizontal, to give this resultant. (07 Marks) B H c. Determine the resultant,ffiices acting on cross section of dam shown in fig.Q4(c) and S" i locate its intersection ffi# the base AB. For good design, this intersection should occur I '€ within the middle t g&df the base. Does it? (08 Marks) eg r".- H E m' MoDULE - 3 i= nE 5 a. Determingffi$"Values of Wr and Wz shown in fig.Q5(a). So that the part BC of the string is E .it horizonfigtt'{alculate the tension in the parts AB, BC, CD and DE. Also calculate the o= E g pres$Uffibn the frictionless pulley at D. (10 Marks) E 3 b. T{ie"gfflinders P and Q weigh 20kN and 10kN. The coresponding diameters are 2.8m andQfu@linders P and Q weigh 20kN and 10kN. The coresponding diameters are 2.8m and #fu and are shown in fig.Qs(b). Determine the reactions of A, B, C and D. (10 Marks) ; > ffi and are shown intig.QS(U). Determine the reactiorrs oiA, B, C and D. (10 Marks)o < ^q*;t:i r-& - N @*/ ; 6 " alDefine Equilibrium and Equilibriant, with neat diagram. (04 Marks) 2 - ;ffi1b* b. Explain : i) Coefficient of friction ir) Angle of Repose iir) Cone of friction, with E _ dih" * neat diagrams. (06 Marks) E- b#h# c. Two blocks are placed as shown in fig.Q6(c). Weight of block A is 5kN and of block B is ,H - 4kN. The coefficient of friction between all surfaces in contact is 0.2. Find the effort required to start moving block B and also the tension in the cable. (10 Marks) b. Determine principles. Determine fie. Q7(b). MODULE - 4 the centroid of a right angle triangle of base 'b' and height 'h' from first (08 Marks) the polar radius of gyration about the centroidal axes of the section shown in (12 Marks) I of2
  • 15. a. b. t4ctYt3t23 Derive the expression for the M.I of a semicircular lamina of radius (r) about its centroidal axis parallel to the diameter. (08 Marks) Determine the centroid of lamina shown if fig.Q8(b) and mark the centroid. (12 Marks) ' MgroL-5 *mDefine i) Rectilinear motion ii) Curvilinear motion with example. (OmstCI&s) Explain the following with sketch : d3*W* i) Angle of projection ii) Time of flight iir) Range. g1g-} pS Marks) A stone is thrown vertically upwards and returns to the earth in 10S. Wh#Ws its initial velocity and how high did it go? *$ru * (08 Marks) t'' - '' Derive an expression for maximum height of a projectile on a horizqqtd.folane. (08 Marks) A cricket ball thrown by a player from a height of 2.0m above the h"brizontal ground at an angle of 300 to the horizontaland with a velocity of 12mls. fiCyUatt hits the wicket at a height of 0.6m above the ground. How far is the player U?q, wicket? (12 Marks) * {<**:F 2 of2 9a. b. c. 10 a. b. Fig.Q2(b) r"neoo! -,^,1S"o& _,.5 Fig.Q3(c) 5k^l Fie.Qa(b) + 2,5L+ I e"lr: ah-6m -t o Fig.Qs(a) D A a q Fie.Qs(b) Fig.Q6(c) J. T220 lAO r *-zoo-4 1-ltto A1l units are in mm. Fis.O7ft) l*-sn ---"1 I6n I.l z. t 6r .t +r{t t Fie.Q8(b)
  • 16. USN 5a. b. f[[* 15CM3 Jan.20l6 Mechanics Max. Marks: 80 (08 Marks) (08 Marks) (i0 Marks) (06 Marks) (06 Marks) (10 Marks) (06 Marks) {tr0 Marks) (08 Marks) (S8 Marks) Note: Answer any FIVE full questions, choosing one full question frorn each module. Module-1 I a. Briefly explain the scope of any four fields of civil engineering. b. Draw typical cross section of road and explain its components. OR 2 a. Write short notes on: i) Shoulders ii) Kerbs iii) Iraffic separators. (06 Marks) b. Resolve 300 N force acting on a block as shown in Fig. Q2 (b): 0 {nto horizontal and vertical components. ii) Along the inclined plane and right angles to the plane. (10 Marks) Module-2 a. State and prove Lami's theorem. (06 Marks) b. Determine the resultant of forces which are acting as shown in the Fig;.Q3 (b). (10 s{arks) OR First Semester B.E. Degree Examinati@iffiJdu Elements of Givil Engineering & Engirieriiing Time: 3 hrs. 4 a. State and prove Parallelogram law of forces. b. Expiain with sketches : i) Cone of friction ii) Angle of repose. Module-3 State and prove Varignon's theorem. 10 a. A stone is dropped into a well. a o o0 d o. d .o bo '= 1lo l-O Op !(J oE (jd a- zeXO o- o d! bo> N- !6 >: di 'o6 -f o, 6.|J hx ay 6: 6'i. ?'c >,! oo" = o1l .-a 6= +a) tr> o !r< +^i o Z (d o c. 7a. 1r U. Find the magnitude, direction and position of the resultant with respect to the point A for the force systern shown in Fig. Q5 (b). OR 6 a. Explain the different types of supports in the analysis of beams. b. Determine the support reaction at A and B for the beam shown in Fig. Q6 (b) Module-4 State and prove parallel axis theorem. Determine Centroid of the area shown in Fig. Q7 (b) OR a. Deterrnine the moment of inertia and radii of gyration of the area shown in Fig. Q8 (a) about the base AB and centroidal axis parallel to AB. (08 Marks) b" Determine the mornent of inertia of triangle of base width 'b' and height 'h' about the base. (08 Marks) Module-S 9 a. Define : i) Displacement ii) Speed iii) Velocity iv) Accele;ration. {06 Marks) b. A cricket ball thrown from a height of 1.8 m above ground level at an angle of 30o with the horizontal with velocity of 12 nrls and is caught by fielder at a height of 0.6 m above the ground. Determine the distance between the two players. (X0 Marks) OR well and a sound of splash is heard after 4 s. Find the depth of {08 Marks) Determine the position at which the ball in thrown up the plane will strike the inclined plane as shown in Fig. Q10 (b). The initial velocity is 30 m/s and angle of projection is tan-'({) with horizontal. (08 Marks) 1of 2 b.
  • 17. toN lY Fig. Q3 (b) 3ok$f." i.okd _i- - -x 6si,-l 15CrV13 asol* 6otlJ 5f) 5ot't lOo N -o n- 3Ou ^"+ roolii.I Xeo^''* - -t -. 3 O*"^ * L. rl BI ,h (Orrr.".r # {,rO l^+ o*7 I l?Oqql Fig. Q8 (a) ,r**{<* 2 of2 Fie. Q2 (b) Fie. Q6 (b) &nr..*-E-ur Fig. Q5 (b) Fie. Q7 (b) Fig. Q10 (b)
  • 18. USN Basic Electrical Engineering Time: 3 hrs. Max. Marks: 80 Note: Answer any FIVE full questionso choosing one full question from each module. Module-1 State ohm's law. Mention its limitations. (05 Marks) A coil consists of 600 turns and a current of 10 A in the coil gives rise to a magnetic flux of I mWb. Calculate: (i) self inductance, (ii) The emf induced, (iii) The energy stored when a current s reversed in 0.01 sec. (05 Marks) c. A circuit of two parallel resistors having resistance of 20f) and 30f) respectively, connected in series with 150. lf the current through 15 f) resistor is 3.A., frnd (i) curtent in 20Q and 30f) resistors, (ii) voltage across the whole circuit, (iii) The total power and power la. b. (.) bo d .o 60 ':(!o ta o9!o -.d .q o- 5E ()<d oP o o (cP bo> dz /6 d- U6 -'u'-^ o.E 9EtoirE L0 o.B > (E ,-C 6: Z>Y! U< -N 6J Z P o F consumed in all resistors. OR 2 a. Define dynamically induced emf and statically induced emf with examples. b. State and explain Kirchoff s current law and Kirchoff s voltage law. c. In the network shown in Fig.Q2(c), determine curent flow in the ammeter resistance of 10 Q. 3a. b. C. connected? OR Derive EMF equation of DC generator. {06 Marks) (05 Marks) (05 NIarks) 'A' having 5i.' OIJL Fig.Q2(c) Module-2 Sketch torque versus armature current and speed versus armature current characteristics of a D.C. shunt motor and mention its applications. (06 Marks) With the help of neat diagram, explain the construction and working principle of electrodynamometer type wattmeter. (06 Marks) An 8 pole D.C. generator has 500 armature conductors and has useful flux per pole of 0.065 Wb. What will be emf generated if it is lap connected and runs at 1000 rpm? What must be the speed at which it is to be driven to produce the sa.me emf if it is wave (05 Marks) (04 Marks) {04 Marks)4a. b. C. With a neat diagram, explain the construction and working of a induction type energy meter. (S6 Marks) A 200V, 4 pole, lap wound DC'shunt motor has 800 conductors on its armature. The resistance of the armature winding is 0.5 Q and that of the shunt field winding is 200 Q. The motor takes 21A and flux/pole is 30 mWb. Find speed and gross torque developed in the motor. I of2 (06 Marks)
  • 19. 5a. b. C. An alternating voltage (80+j60)V is applied to a circuit and the current flowing is (-4+j10)A. Find: (i) the impedance of the circuit, (ii) the phase angle, (iii) power consumed. (0s Marks) Two impedances z,=(10+j15)f) and z, =(6-j8)Q are connected in parallel. If the total current supplied is 15,A., what is power taken by each branch? (ii6 Marks) OR a. Show that power consumed in an AC circuit is P : VI cos $, where V is RMS vatrue of the applied voltage, I is the RMS value of current and $ is the angle between voltage V and current tr. {05 Marks} b. What is earthing? Explain any one type of earthing with neat figure. (06 Marks) c. A coil of power factor 0.6 is in series with 100 pF capacitor. When connected to a 50 Hz supply, the potential difference across the coil is equal to potential difference across the capacitor. Find the resistance and inductance of the coil. (05 Marksi Module-3 Explain trvo way control of lamps with truth table and connection diagram. Module-4 Mention the advantages of three phase system over single phase system. Module-5 Derive EMF equation of transformer. 1sALE15 (05 Marks) (05 Marks) (04 Nlarks) la. b. 9a. b. l0 a. b. C. Three sirnilar coils each having resistance of 10Q and reactance of 8() are connected in star, across 400 V, 3 phase supply. Determine (i) line current, (ii) total power, (iii) reading of each of two wattmeter connected to measure power. (06 Marks) e. A 2 pole 3phase alternator running at 3000 rpm has 42 slots with 2 conductors per slot. Calculate the flux per pole, required to generate a line voltage of 2300 V. Assume Kd: 0.952 and Ko : 0.956. The armature is star connected. (05 Marks) OR a. With the help of a circuit diagram and vector diagram, show that two wattmeters are sufficient to rneasure total power and power factor in a balanced three phase circuit. b. with neat sketches, explain the construction of salient pole alternator. [[:#ilil] c. A three phase load of three equal impedances connected in delta across a balanced 400 V suppiy, takes a line current of i0 A at a power factor of 0.7 lagging. Calcuiate: i) the phase current, ii) the total power, iii) the total reactive volt amperes. (04 Marks) The maxiirnum efficiency at full load and Upf of a single phase, 25 kVA, 500/1000 V, 50 Hz transformer is 98%. Determine the efficiency at (i) 75o/olaad 0.9 pf, (ii) 50% load 0.8 pf, (11i) 2s% load 0.6 pf (08 Marks) c. If a 6 pole induction motor supplied from a three phase 50 Hz supply has a rotor frequency 2.3 Hz, calculate (i) the percentage slip, (ii) the speed of the motor. (04 Marks) OR Derive the condition for which the efficiency of a transformer is maximum. (06 Marks) Define slip. Derive an expression for frequency of rotor current. (05 Marks) A three phase 6 pole 50 Hz induction motor has a slip of 1o/o at no load and 3Ya at full load. Determine: i) Synchronous speed, .(ii) No load speed, (iii) Full-load speed, (iv) Frequency of rotor current at stand still, (v) Frequency of rotor current at full-load. *8*** 2 af2 (05 Marks)
  • 20. [JSN 148{,8X5/25 ec"20l5lJan"2016 Max. Marks:100 {05 N,Iarks) (06 Marks) (S6 h{arks) d(-) L Cl d ,!) 6 ox x,- I co .*t :c i; '* oO -! !5 d- 9G 3.) o; a-.cF ;ii ao@(E !o =v ^.o =cQ U= !. (f e> OYO U< ; o Z E o c. First/Second Semester B.E. Degree EiS Basie Electrical Entiteiering Time: 3 hrs" Note: Answer wny FIYE fall questions, claoosirug ONE fwll questionfrow escfu wodule. Module-1 Compare electric circuit and magnetic circuit. 1a la. b. c. d. For the circuit shown in Fig. Ql(b), the total power dissipated is 488W. Calculate the current tlo.,rring in each resistance and pd between A and B. (05 l{*rks) Derive an expression for the energy stored in the magnetic field. (05 Marks) A coil of 200 turns of wire is wound on a magnetic circuit of reluctance 2000 ATlrvb. If a circuit of 1A flowing in the coil is reversed in 10 sec, find the average emf ind.uced in coil. (85 hfarks) OR Define the foilcrving : i) Statically induced emf ii) Dynamically induced emf iii) Co-efficient of coupling. Give example for (i) and (ii) and expression for (iii). 40e viax'ks) A conductor of length 0.5m situated in and at right angles to a uniform magnetic field cf flux densiry 1 Wb/rn2 moves with a velocity of 40 m/s. Calculate the ernf inclueed in the ccnductor. What will be the emf induced if the conductor moves at an angle 60o to tl:e fielC. (t|4 &,Iarks) {04 fr,{arks) (85 lv{arks) -1al b. State and explain KirchofFs laws. For the FiS. Q2(d) calcillate the current in 2fJ resistor. filed resistance 230O. c. With neat sketch, explain the working of dynamometer type wattmeter. Fig. Q2(d) MqdulqZ 3 a. With a neat diagram showing irnportant parts of DC machine and explain impor-tant features of the parts shown. (08 Marks) b. A 230V DC shunt n:rotor takes a no load current of 34. and runs at 1100 rprn. If the fuli lcad current is 4lA, find the speed on ftll load. Assume armature resistance A.25{2 and shunt Fie. Q1(b) i of3
  • 21. x4ELE15l25 OR a. With a neat diagram, explain the principle of operation of single phase induction type energy meter" (06 Marks) b. Derive the emf eqlrarlion of a DC generator. (s6 Marks) c. A 44A V Dc shunt motor takes an armature current of 20 A and runs at 500 rpm. The arrnature resistance is 0.6 (). If the fiux is reduced by 30% and the torque is increased by 4frok, aaloulate the new value of armature current and speed" Module-3 5 a" Define the foilowing with reference to AC quantities : i) Instantaneous vaiue iii) 'Iime period iv) Form factor v) Peak factor. b. When 22A V AC supply is applied across AB terminals for the circuit shown in input is 3.25 KW and the current is 20A. Find the curreni througle 23. ia. II V, $O H rz:. Fig. Q6(c) !4sdsle-4, List the a<lvantages of 3-ph system over l-ph system. k6 : 0.97, ancl fullpitch winding. (CI8 Marks) ii) Frequency {05 Marks) Fig. 5(b), the (89 Marks) Fie. Qs(b) e. Explain the working of three-way control of lamp with the help of switeiring tabie. {06 Marks) OR a. With a neat diagram explain the working of RCCB. {s5 Marks) b. Frove thaiL a pure capacitc,r do not consume any power. (06 Marks) c. A coil of p.f. 0.6 is in series with a 100 pF capacitor. When connected to a 50Hz suppiy the p.d. across the coil is the p.d. across the capacitor. Find the resistance and inductance of the ooil for the circuit shown in Fig. Q6(c). (SE &{ar}<s) -]ti Three 50f) resistors are connected in star across 400V 3-ph supply : i) Find phase current, line current and power drawn frorn'supply ii) What would be the above vatrues if one of the resistors were disconnected? (05 Marks) What are ttrre advantages of rotating field type alternator? {83 Marks) A 2*po1e, 3-ph altemator running at 3000 rpm has 42 armature siots with 2 conductcrs in each slot. Calculate the flu></pole required to generate a phase voitage of i 100 V. Assurne (06 Marks) 4 = 5cJ lasL to&r-B $- a 2 of3 (ES Marks)
  • 22. Derive an emf equation of alternator. 14Eg,et5/25 (S6 h'flarks) b. A L2 pole 500 rpm star connected alternator has 48 slots with 15 conductcrs/slot the flux/pole is 0.02 Wb and is distributed sinusoidatrly. The winding factor is 0.97 caleulate the line emt" (84 [,tarks] c. Derive a relation between line current and phase current in case of 3 - ph Delta connected ioad" qS6 Marks) d. Three similar coils are connected in delta across a 3*ph supply. T'he two wattmeters connected to measure the input power indicate i2 KW and 7KW. Cak:illate : 1) Fower input i* Forver factor of the load. (04 Marks) Module-S a. Explain various losses in transformer. How these losses can be mmirnized? (05 l?tarks) b. A 50CI KVA transformer has an efficiency of 92% both at futl toad unitv p.f, and katrf lcad 0.9 p.f. Determine its efficiency at75o/o of fullload and 0.9 p.f, {&7 &!arks) c. List the differences between squirrel cage and wound rotor induction motor. {{}4 &4arks) d. A 4-pole,3-ph lM is supplied from 50 Hz supply. Find its synchronous speed. On full troad 1(} its speed is observed to be 1410 rpm. Calculate its full load slip" OR a. Explain the necessity of starters in 3-ph induction motor. b. .A 3-ph lM with 4-pole is supplied from an alternator having 1000 rpm. Calculate : i) ?he synchronous speed of 1M ii) lts speed.when sXip is 0.04 iii) Frequency of the rotor emf when the speed is 600 rpm (s6l{arks} c. Define the vcltage reguiation of a transforrner. What is its importance? tE4ltarks) d. ,& 500 KVA transformer has Nr : Nz : 300 : 20. The primary winding is connected to a 22AA V,50 F{z supply calculate : i) Secondary voltage on no load i0 Approximate values of primary and secondary currents on full load iii) T'he maximum value of the flux. (S4 Marks) (04 Nlarks) 6-poles and running at (06 &4arks) 3 of3
  • 23. LISN IsEME14 First Semester B"E. Degree Examination, Dec"2015 lJan.20l6 Elernents of Mechanical Engineering Time: 3 hrs. Max. Marks: 80 Note: Answer any FIVE full questions, choosing one full question from each module. Module-1 1 a. Define solar constant and explain liquid flat plate collector with a neat sketch. (0s Marks) b. Explain principle of nuclear power plant with aneat sketch. (08 Marks) (.) oo o. sb0 '= O! LO Ocd ,a2 Xo o- -q6! oo> -o>r 96 -?O'Ea OE (]-; trE O.: i.9d= 6,i, !o 6.:r tro!'-- E!J U< -N '7 OR 2 a. Define enthalpy and explain formation of steam with a T-S diagram. b. Explain Babcock and Wilcox boiler with a neat sketch. Module-2 3 a. Define Turbine & explain De Laval turbines with a neat sketch and b. Explain closed cycle gas turbine with a neat sketch. (08 Marks) (08 Marks) P-V diagrarn. (08 Marks) (08 Marks) (08 N{arks) sketches: (0E Marks) coordinate with a suitable (08 Marks) ($8 Marks) OR 4 a. Explain 4-stroke SI engine with a neat sketch and PV diagram. (08 Marks) b. Define indicated power and brake power. A four stroke IC engine running at 450 rpm has a bore diameter of 100 mm and stroke length 120 mm. The indicator diagram details are : Area of the diagram 4 cr*,length of the indicator diagram 6.5 cm and the spring value of the spring used is 10 barlcm. Calculate indicated power of the engine. (08 Marks) Module-3 a. Explain with neat sketches, D Plain milling ii) End milling. iii) SIot milling. b. Explain the following machining operations on lathe machine with suitable i) Turning. ii) Thread cutting. iii) Knurling iv) Facing OR 6 a. Write classification of robot configurations and explain Cartesian sketch. b. Define automation and explain flexible and fixed automation. I of2
  • 24. a.Writec1assificationoffeirou,,*unoH.o*,,,etalsandexplainbriefly. b. Write a short note on composites. OR a. Define soldering and explain electric arc welding with a suitable sketch. b. Explain oxy-acetylene welding process with a sketch. b. 158${E14 (08 Marks) {08 Marks) (08 Marks) (08 Marks) a. Module-5 Define the following: D Ton of refrigeration. ii) Refrigerating effect. iii) Ice making capacity iv) COP {08 Marks) Explain principle and working of vapour compression refrigeration with a sketch. (08 Marks) OR t0 a. Explain with a sketch working of room air conditioner. b. List out properties of a good refrigerant and explain any two. {<**{<{< (08 Marks) (08 Marks) 2 of2
  • 25. USN IAENIIEl4l24 015 / Jan.20l6 ring Max. Marks:100 First/Second Semester B.E. Degree E lna Elements of MechaniG Time: 3 hrs. Note: Answer FIVEfull questions, selecting ONEfull questionfrom each module. l'%" { &s, Module - I i,,tr fl-hn ** 1 a. Name three renewable and non-renewuuGo-gyr*rrces and compare them for 4ruffilug.t n; and disadvantages. (08 Marks) 'E b. Defure calorifiC value of fuel. Explain higher calorific value and lower calori{ic value.dr -+ 4n .i (06 Marks) p c. With a neat sketch, explain application of solar flat plate collector. (06 Marks) a d E 2 a. Define the following terms in relation to steam: g r) Dryness fraction. gs ii) Latent heat. gE iii) oegree of super heat. E S iv) Saturation temperature (08 Marks) SJi b. Differentiate between water tube Boiler and Fire tube Boiler. (06 Marks) :E & c. List the boiler mountings and accessories and alpmention their uses. (06 Marks)s -f, a- -----''E+ bx0 6)tr €EI I Motlule-2=€ E 'E 3 ?. Sketch and explain working of reaction steam turbine. E I - ".; (to Marks) €Eo.E- : d 5 a. With affi.iketch, explain the following luth. op."utions t = J a. DKeIcn ano expram worKmg oI reactlon'steam turbme. (08 Marks) P A b. Describe the working principle of a closed cycle gas turbine with neat sketch. (07 Marks) ? E c. How water turbines are classified-? (05 Marks) EF' k" t' E ! 4 a. Explain with neat sketch co4ffition and working of 4-stroke diesel engine with the help of a= theoretical P-V diagra.. .,#" a (10 Marks)d(i E g b. A Gas Engine workingffi-stroke cycle has a cylinder diameter 300 mm and stroke length E C of 500 mm is runnirg;#20 rpm.Its mechanical efficiency is 80% when the mean effective 5 E pressure is 0.65 Mf#Ytind i) Indicated power ii) Brake power iii) Friction power.'E s ";" ' no Marks) F E r#Ls.LJiJrruurru4r LuruulE. 3 g r@)'Knurline. hF ffiYr) Thread cutting. (08 Marks) € g "W&b - Define automation. Discuss the different types of automation. (06 Marks) e '9 "' ---- -d-6-* g E i)..ffing H E iffiiilindricat turning. o= k E$ *ffi I ru6ry" 5q "' Differentiate between:deu - S* i) Drilling and Boring. 5K " ii) Counter boring and counter sinking. (06 Marks) -.: c.i ij 6 a. Explain any two types of Robot-configuration. (08 Marks) 2 b. What are NC and CNC machines? Mention the difference between them. (06 Marks) E c. What are the different operations commonly performed on milling machine? Explain any E two. (06 Marks) tr I of2
  • 26. (07 Marks) b. Define composite material. How composites are classified? (07 Marks) c. With neat sketches, explain different types of Flames used in Gas welding. (06 Mark$ m* #/ 8 a. What is welding? Explain electric arc welding with sketch. (01|${#ft5) b. Differentiate between soldering, brazing and welding. /@farks) c. Explain the advantages and limitations of composites. **-'(ffi Marks) rffi" Module - 5 &*W 9 a. What are the desirable properties of Good refrigerants? q--l (06 Marks) b. With suitable sketch, e^ptain working of vapour compression refriffirt (08 Marks) c. Define the following: * # no i) Ton of refrigeration. u*[M - ii) Refrigeration effect. h. iii) C.O.P. {}rt (06 Marks) 10 a. What is principle of refrigeration? Name essential ffi of refrigerator, and briefly explain their functions. rry (06 Marks) b. Explain the construction and working of roomgiffiditioner. (08 Marks) c. Explain the various applications of air condffig. (06 Marks) d t*fl{' * * '& 'F tA&IMEI4l24 Module - 4 a. State the composition and applications of Carbon steels used in Engineering applications. {i U r}..t h"q sAr. I "3 /" 2 of2
  • 27. USN (.) () o L a rd E(J d3 o Jrn -b0 Yo OL aq) oc, J?o o,-F= o(e ?.Y 6* i,= d.=>.'+ ^"o uo F> U< :: o 7 (B First Sernesten" B.E" Degree Examination, Dec"15/J4n.2015 Gonstitution of India, Professional Ethics and Human Rights (coMMoN TO ALL BRANCHES) Tirne: 2 hrs. Max. Marks:40 T}{ST'RUCTIONS TO T}IE CANDIDATES Answer ail the fourty questions, each question carries one mark. dJse oniy Black ball point pen for writing / darkening the circles,. For each question, after selecting your answer, darken the appropriate eircle eorresponding to the same question number on the OMR sheet. Darkening two circles for the sarne question makes the answer invalid. Darnaging/ovenwriting, using whiteners on the OMR sheets are striotly prohibited. 1. The federal feature of the Indian Constitution provides for : a) Distribution of legislative powers between the Union Governrnent and the Staie G0vernment. b) Division of powers between the Executive and Judiciary. c) Distribution of powers between the Lok Sabha and Rajya Sabha. d) Distribution of powers between the Frime Minister and Cabinet. 2. Horv many mernbers are nominated by the President to the Lok Sabha byr the Anglo - Indian Cornmunitv? a) Two b) Twelve c) Twenty d) One 3. The main objectives of the Directive principles of State policy are aimed to secure a : 1. 7 4. 5. One of the irnpediments to discharge the responsibility of Engineers is : a) Interflerence by Superior officials b) Political influence c) Selfldeceptlon d) Lack of talent arrd skill 5. Who is the appointing authority of the chair person anct other raemtrers of National Human Rights cornmission in India? a) Chief Justice of India c) Prirae Minister of India a) Secular State c) Non - religious State b) Welfare State d) State of Integrity b) President of nndia d) Union Home Minister {Jnder which Amendment, a new Article 21 * A was inserted and it provides for "Right to Education" was made a fundamental Right? a) The 75th Arnendrnent (i994) b) 86'n Amendrnent QA02) c) The gl" Arnendment (2003) d) The 42nd Amendment (1976) -A1-
  • 28. lsCIlHl g .: 7 " Which of 1;he follornzing is not treated as an intellectual propeity? a) Fatent b) Copy right c) Statute d) Trade rnark E" Tlie Chief'Eiection Comrnissioner can be removed frorn his office before the expiry of term by the : a) Chief Justice of india h) Prirne Minister orr the recommendation of cabinet. c) Fresident on the recommendation of Parliament after the Impeachment. d) Presidernt on the advice of Chief .Iustice of India. 9. Ail arrested person is to be produced before the Magistrate within a) 48 hours b) 35 hours c) 2 months d) 24 hours 10. Who has proposed the "Doctrine of Rule of Law"? a) Montesiqueua b) It'ulahatrna Gandhi c) Dr. A.V. Dicey d) Austin 11. Directive prinaiples of State Policy (Part - IV) are included in our Constitution fi'orn Artictres : a) 36 to 51 b) 12 to 35 c) 39 to 54 d) 330 ta 342 12" Who r,rras the first chair person of National Human R.ights Comrnission? a) Shri Justice M.N. Venkatachaliah b) Shri Justice Ranganath L4islra c) Shri A.P.J Abdul Kalam d) None of these 13. To whom the lndian Constitution has given the power to pardon the sentence of Death? a) Chief Justice of Supreme Court b) Governor of State Government c) Fresident of Union Government d) Both (b) and (c) A4. What are the provisions which cannot be suspended during National emergency? a) .Afis. 14 to 16 b) Arts. 2A and}l c) Arts.29 and 30 cl) Arts. 23 and24 15" When did the National Human Rights Commission is estabiished in India? a) 1956 b) 1983 c) 1993 d) i994 16. For an,r, violation of Fundarnental Rights enshrined under Part - IIi, the F{igh Court or Supreme Court can issue a) A;r Ordinance b) A Notification c) A Writ ci) A ci.ecree 77. One cf the essential of the Engineering profession is a) I{ardrvortr< b) Engineering skill c) Honesty d) Expert knowledge 18. The right to lifb and personal liberty does not include a) Tlie right to legal aid b) The A"ssembl3z.peacefully c) The right tto privacy d) The right to dignity 19. 73'd and 74th Corrstitutional Amendments are related to : a) Land Reforms b) Anti defection law c) Local Slelf - govemment d) Extension of reservation to SoS and STs. .M-
  • 29. .a- t l5CPE{18 20. prosecuted and punished for the same offence more than once" is : 21. In an Engineering Professional Ethics, a'fault - tree' is a method used to a) Ciaim compensatron b) fix the liability on Employer c) Assess the honesty of Engineers d) Assess the risk involved 22. The term of,member of Rajya Sabha is a) 5 years b) 4 years c) 6 years d) 3 years 23. The 'Money Bill' can be introduced only in a) Ex- Post faeto law c) Double zeo Pardy a) Cabinet meetings c) Ra3ya Sabha a) 5ti years 25. Which test is Article 14? a) Crearry layer c) Intelligible differentia 26" Stealing of intellectual property means : a) Fresident c) Farliament The head of the City Corporation is a) Commissioner of Corporation c) Municipatr Fresident %'d of seats are reserved for women in a) The Cabinet c) The Local- Self Government b) Multizeo Pardy d) Acquittance b) Joint - Session d) Lok Sabha Caste or religion Educational qualification b) Prime Minister d) Chief Justice of India b) Deputiz Commissioner of District d) Mayor The Vidhan Sabha The Lok Sabha 24. A Judge of the Fligh Court holds office until he attains the age of b) 60 years c) 62years d) 65 years to be followed to classify the people into categories or grcup under the b) d) )1 28. a) Cooking b) Forging c) Plagiarism d) llrimnings 'Fanchayat R.aj', as introduced in 1959, is mainly aimed to a) Educate the farmers, who are residing at the villages b) Frovide rural emplo),ment to the village people c) Fromote the working for the up liftment of scheduled caste d) Develop and to improve the conditions of people by introducing a Self government at the village, taluk and district levetrs. The 'Writ of Mandarnus' shall not be issued to do their duty, against a) Public servant b) President of lndia c) Intemational Airport authorities d) Prime Minister of India 29. Who appoints the Chairman of the Union Public Service Commission? J tr" b) d) JI. -A3-
  • 30. } sCPTIl8 32. Ttre Supreme Court has original Jurisdiction to decide the a) Dispute. between two or more states 'b) Dispute between lndia and Pakistan c) Dispute arises at clifferent levels of Self government d) Criminal cases filed directly to Supreme Court by any citizen. 33" Which one is not the way of rnisusing truth worthiness? a) Fatenting b) withholdings information c) Deliberate information d) lying 34. Which part of the Constitution contains provisions regarding the iniplementaiion of Fanchayat Raj in the Country? a) The Preambie b) Part - Iitr dealing with Fundamental Rights c) Fart - IV dealing'witkr directive principles d) None of these. 35" The Cath of office to the President of trndia is adrninistered by ' a) The Chief Justice of India b) The Vice - President of India c) Attomey - General of India d) Prime Minister of India 36. 'I'he Chief Justice and other Judges of the Supreme Court hold office : a) For life b) TiX the age of 60 Years c) Till tiie age of 62 years d) Till the age of 65 years 37. Cne of the fonlowing is not inciuded under the category of 'Human Rights' : a) Right tr: life and liberty b) R.ight to Equality c) Right to dignity d) Rights of prohibition of employment of children in factories. 3E. Wliich Court laas,authorized to decide the cases of violation of Human Rights? a) Supreme Court b) High Court c) Session Court d) Civil Court 39. Whc is the Presiding officer of the .loint * Session of Parliament? a) Frime Minister b) Parliamentary affairs Minister c) President d) SPeaker 40. Sexlral i:larassment of a working women is violation of a) F{uman Right b) Fundamental Right c) Directive principle d) Fundamental duty -1.4-