This document appears to be an exam paper for a basic thermodynamics course consisting of multiple choice and numerical problems. Some key points: 1) It asks students to differentiate between control mass/volume and intensive/extensive properties and classify some examples. 2) It includes problems on gas thermometry, gas expansion processes, calculating work done by gases, and the steady flow energy equation as applied to systems like turbines and nozzles. 3) Questions cover concepts like the zeroth law of thermodynamics, definitions of work, the first law of thermodynamics as an equation, and analyzing compressor processes.

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Time: 3 hrs.
1a.
USN
1-Lg.
b.
c.
Third Semester B.E. Degree Examin h, Dec.20l:5/Jan.20t6
MATDIP3Ol
Max. Marks:100
(06 Marks)
(07 Nlarks)
(07 Marks)
(06 Manks)
(07 NIarks)
(07 Marks)
(06 Marks)
(07 Marks)
(07 Marks)
(05 N{arks)
(07 &{arks)
(07 ){arks)
Advanced Mathematics - I
Note: Answer any FIVE.full questions.
b.
(.-
Express the following in the form a * ib,
311
: .- :*- andalsofindtheconjugate.
1+i 2*i l-i
Show that (a+ib)' +(a-ib)' =2(a' +b')n" cos(ntan-r(b/a)).
Find the fourth roots of 1-ir6 and represent them on an argand plane.
Find the nth derivative of cos 2x cos 3x.
If y = rasin
rx
then prove that (1 - x')yn*, - (2n +t)xy"*, -(r' + a')y,., = 0.
Find the nth derivative of
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3 a. Find the angle between the radius vector and the tangent to the curve r = a(l - cos 8) at the
TI
pomt U=-.
J
Find the pedal equation to the curve r = a(l+ cos0).
Obtain the Maclaurin's series expansion of the function e* sin x.
4a.
b
L.
5a.
L
Ifu=a*'*vt,theo
/
If u=fl *,I.Zl
[v z x)
[fu=x'+y'+z'
tutunrove that x-+ V- = 3u losu .
dx cy
au au au
.provethat x ^ +y ^ +z--l).
(h Oy Az
, V = XY +yZ+ZX, W = x+y+2, find ,[u,', * '1
.
[ *, y,, ,l
Obtain the reduction formula for I,
- rla a.['*-*'
Evaluate , Jn J. xydydx .
Itl
Evaluate,
IJif, + y + z)dxdydz.
= Jcos'
xdx where n is a positive integer. (061Iarks)
(07 Marks)
(07 Mart<s)
1of 2

4. 6a"
b.
c.
Prove that F(m,n) - 5g)r(")-.f(m + n)
4
Evaluate: l'
*t'' (+- x)'/'dx .
0
6
Evaiuate: I xne-'*dx .
J
.0
MATDIP3OI
(06 Marks)
(07 Marks)
(07 Marks)
(06 Marks)
(S7 Manks)
(07 Marks)
(86 S{arks)
(07 Marks)
(07 Marks)
a. Solve:
b. Solve:
c. Sotrve:
a. Solve:
b. Solve :
c. Solve :
dy1ia+xsirn2y-x'cos'y.
fix
(eY + ycosxy)dx + (xeY + x cosxy)dy
x2ydx-(x'+y')dy=0.
++-dg++ n9r-6y = 0.
dx' dx' dx
(D'-4)y=e*+sin2x.
(D2+D+l)y=1+x+x2.
-0.
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5. USN
lOME/AU33
&
&
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Max. Marksrl00'
Basic Thermodynamics
Time: 3 hrs.
c, Note:
''iff:#;#"'{:Xr,:";"fr*'""::;'tr:,,
E 2. Use of thermodynamic dcrta hand book and steam tables is
E
Permitted
r PART_A !O
E
E I a. Differentiate between: (i) Control mass and control volume (ii) trntensive and extensive
s*a.r;r,,,.,.H,,:r.t.ii;.q{:,.-.,., ,,.
",pfopofties,
and classify the following into intensive and exte-osive properties. (i) Enthalpy
$I (ii) Qualityofsteam (iii) Entropy and(iv) Density. (06Marks)
gE b. Define the zeroth law of thermodynamics and explain how this law forms the basis for
E A temperature measurement. (06 Marks)
p J c. A constant volume gas thermometer containing helium gas gives readings of gas pressure
.q & 1000 mm and 1366 mms of mercury at the ice point and steam point respectively.
dt
E a. i) Express the gas thermometer Celsius temperature interms of gas pressure.
g C ii) The thermometer when left standing in the atmosphere, registers 1075 mm of mercury.
: 'E Determine the atmospheric temperaturq. *' (08 Marks)5 E
vvlwltrlulw lrrw aLurvoPlrwrrw lwrrrHwrqll
E € b. A gas expands quasi-staticalffi'"a piston cylinder affangement against the atmosphere and a
a: spring. Initial pressure and voiume are 400 KPa and 0.2 m3 respectively. The final volume ofad(€
: E gas is 0.6 m3. Determine,the total work done by the gas if the spring force is proportional to
E E volume of the gas. Assume the atmospheric pressure as 101 .325 KPa. (08 Marks)
; H c. A spherical balloon of 1 m diameter contains a gas at 200 KPa. The gas inside the balloon is
f € 2 a. Write the thermodynamic definifio-ffiwork. With suitable example explain how it is more
a:I
g + general than the definition of woft,ifl mechanics. (04 Marks)
-b 5 c. A spnencar DaIrGOn oI I m olameler corualns a gas ar zuu Nra. r ne gas lnsloc rne Daroulr ls
H : heated until te hrbssure reaches 500 KPa. During the process of heating, the pressure of the
,E
$ gas inside tt-@[oon is proportional to the diameter of the balloon. Calculate the work done
E i by the g*slffiSiae the balloon. (08 Marks)
looii"of 1
rptrrssure
e i
;#J;r, ;* equation for a closed system undergoing a non cyclic process and show
, aE
fi',':li$i.$' "' ',3 a.
i E t&t1t*fl1fsrnrl energy is a property of a system. (08 Marks)
a E b* {Modify the general steady flow energy equation (SFEE) for the following cases:
^=^^ I ',... )
.it I q ", (r) Steam turbine with negligible potential energy change if the process is adiabatic.
E * *#q (ii) Horizontal steam nozzle with neslisible entrance velocitv of steam. if the oror(ii) Horizontal steam nozzle with negligible entrance velocity of steam, if the process is
E U ffi
S uJ' rrvr&VlrL4r JlWOul twLbt9 vv rlu uwSrrSlulw wllLr4lrww vwrvwrlJ vr rlv4r[, rr uuv HrvvvrD re
E E- dW
* non-adiabatic.
o -4"
q,/s
,!-Ptry (iii) Insulated horizontal throttle valve. (06 Marks)
ii ;r r"va: c. In a centrifugal compressor, the suction and delivery pressures are 100 KPa and 550 KPa
-.: N
; respectively. The compressor draws f s *:l*i, ;i;;ich has a specific volume of
E 0.77 nl lkg. At the delivery the specific volume is 0.20 m'lkg. The compressor is driven by a
E 40 KW motor, and heat lost to the surroundings during compression is 30 KJikg of air.
E Neglecting change in potential and kinetic energy, calculate increase in internal energy per
g kg of air. (06 Marks)
frst law equation for a closed system undergoing a non cyclic process and show
I of2

6. t!ffiffix:ri$t
lOME/AU33
a- Write Kelvin-Planck and Clausius statements of second law of thermodynamics. Show that
violation of Clausius statqment lbads to the possibility of a perpetgpl motioo-nraehiae-Gf,..,.,:!.-*d
second type. (10 Marks)
b. Mention the factors that make a process irreversible. (04 Marks)
c. Using a heat engine of thermal efficiency 30Yo to drive a refrigerator having a COP of 5,
what is the heat received by the heat engine for each MJ of heat removed from the roqQ&ry
of the refrigerator. (mrt&n.l(Q6M{dO
&dqr0
#PART _ B
5 a. Derive Clausius unequality and prove that entropy is a property.
b. Explain the principle of increase of entropy.
c. Two copper blocks weighing 10 kg each are initially at tempe
respectively. What is the change in entropy when these two b
with each other? Take specific heat of copper as 0.4 KJ/kgK.
^ {"d :h. *"r
Define the following: (i) Pure substance (ii) Triple porqq r iiili,
qi
6a.
b.
c.
7a.
b.
8a.
b.
(04 Marks)
7oC and 27oC
ght into contact
(06 Marks)
Critical point.' l i':'''
(06 Marks)
(08 Marks)
temperature
l.r,p!f:..:r{
Calculate the internal energy per kg of supeqlppl.ed steam at pressure of 10 bar and a
temperature of 300'C. Also find the change;@qnfernal energy if this steam is expanded to
I.4 bar and dryness fraction 0.8. -# (06 Marks)
lY*
'il|"
Starting from the relation Tds = aupfuv, show that for an ideal gas undergoing a reversible
adiabatic process, the law for the prbcess is given by Tyt-t:Constant. (06 Marks)
With neat sketch explain the measurement of dryness"fraition of steam by using throttling
calorimeter. (08 Marks)
Clearly distinguish between ideal and real gases. (04 Marks)
A quantity of air at a pressure of i00 KPa, 27"C occupying ? volume of 0.5 m3 is
compressed to a pressure of 500 I(Pa and volume of 0. T2 fiS according to the law
PVn = constant. Find (i) The value of index 'n' (ii) The mass of air (iii) Work transfer
(iv) Heat transfer during the process (v) Change in entropy. (10 Marks)
Write the Vander Waals equation of state. In what ways, it is an improvement over the ideal
gas equati$u. (06 Marks)
Explain the following:
i) Compressibility factor ii) Reduced properties iil)
iv). Generalised compressibility chart.
Law of corresponding states
c. Determine the specific volume of hydrogen gas when its pressure is 60 bar and
is 100 K by using, (i) Compressibility chart (ii) Vander Waal's equation
Take fof Hz Tc =239.760C , Pc : 12.92 bar, a=0.25105x105Nm2/kgmola,
b:0.0262 m3lkgmole. (06 Marks)
u. lr",
.- { 8,"
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2 of2

7. USN 1{}. {8328/AU32B
Mechanical Measurements and Metrology
C)
€ Time: 3 hrs. Max. Marks:100
e "i,'a
E Note: Answer any FIVEfall questions, selecting atlesst TWO questionsfro* qertgiart.
' rli3
aJ DArtr a !g PART-A
+!,.=-=tffifl.+e+.al#;;Wnat islMetrology? State any four objectives of metrology. ,_.i (06 Marks) :i.,,
$ g b. Describe with a neat sketch, International Prototype meter. :' ? (06 Marks)
gE c. Discuss the important features of wavelength standard. (04 Marks)+4 > v- rvr@r^t,,
E B d. Build 49.3115mm using M112 set of slip gauges. o a 'n (04 Marks)
E]^ ' :i i
E f 2 a. Define the following terms :
.= c{
d + : T.i.-i+^ :: Trir^ jji T^1-,-^,--- :-- 1 r. 1',.
H oa t) Limits il) Fiis ii1) Tolerance ir) Deviationi (04 Marks)
; H . b. Differentiate between interchangeability and seiectiv*e-assembly. (06 Marks)
€ g ' c. Explain with a sketch, Taylor's principle for design #1fr*it gauges. (06 Marks)q'tr
:eis.6;,Y;.9g,A11owance?
Hoy it is applied in *HgIr of gauges? (04 Marks) i..;:::?it.,r;.i
ai;;,:What are the required characteristics of corapqriftors?
I *-!r7.,1 b. i -
o:r:-:wrl€If, are tne requreo cnaracterrStrcs oI conaoqrdtors'/ (04 Marks)
fi*Wiit neat sketcii, a"t.riu. tt"
"onrt*.;.r*"ff; ;;inciple of working of sigma comparator.
-!
"'.$E '' *'""
".
Give the combination of angle gaug,es*t#obtain 570 34' g" angle. (04 Marks)
-o
E E . 4 a. Illustrate the principle of Interferqrnetry with sketches. (06 Marks)
B E ' ' b. What is best wire size? Deriv- 6n expression for the same. (06 Marks)
E i c. With a sketch, explain qhgfconstruction of a tool maker's microscope. What are its
a8_d. g. .lpp[uaLruus r i&
.:. li:(6'1,4i1i4,;-::].ri'r+:, l.i.j.+: a - tJ
:i:iri4i:t+.r:il:iii CV r PART - B
E 5 a. What is the signi"fitdnce of measurement system? 104 Marks)
,: - g '^td
il i:lld:jtr,;t'iri 1.lY .
E b. Define the fsilewing terms used with reference to measurement :
CgE
=
# i) Accuracy
- ii) Precision iii) Calibration irr) Threshold v) Sensitivity
gt 3.r 'i;4qi.-1i+;
.=$:frr.0's+t"++ratl*###...*..._Ys*Wanyfourmechanica1andfoure1ectricaltransducers.(04Marks)
Howerrorsarec1assified?Givereasonsforeachtype",.1"o:*Hd#,E''sE.i
1rv/ith
a sketch, explain the construction and important parts
What are the primary functions of a terminating device?
Explain with a sketch, working of proving ring. (G6 Marks)
Explain the working principle of hydraulic dynamometer used for torque measurement.
(08 Marks)
(06 Marks)
(08 Marks)
(08 Marks)
(04 Marks)
(08 Marks)
of a cathode ray oscilloscope.
(08 Marks)
(04 Marks)
c.
8a.
b.
c.
Describe with a neat sketch, Mcleod Vaccum gage.
What is a Thermocouple? State the laws of thermocouple.
Describe the construction and working of optical pyrometer.
Write short note on gauge factor.
rwt
J&&&J

8. f,mUSN
lCIWIEIAU35
5/Jan.2016
Max. Marks:100
(&8 Marks)
with a neat
i09 B{arks)
(CI3 Marks)
(SE Marks)
(04 Marks)
(08 Marks)
{10 Nlarks)
(trO Marks)
{tr0 Marksi
resistance
(lG {arks)
(i2 Marks)
(08 Marks)
Third Semester B.E. Degree Examina
"l'irne: 3 hrs"
(,.
2a.
b.
c.
3a.
b.
4a.
b.
Manufacturing Process - I
Note: Aruswev FIVE fwll questions, selecting
st lesst TWO qaestions from each part.o
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c,
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c.
FART._A
a. tsriefly Discuss the steps involved in making a sand casting.
b. What is pattern? List different types of pattern. Explain match pltrte pattern
sketch.
Write explanatory note on No - Bake sands.
Explain briefly the desirabie properties of moulding sand.
Drarv a neat sketeh of a gating system showing all the elements.
With a neat sketch explain sand slinger"
Explain with a neat sketch, the shell rnoulding prccess.
With a neat sketch, explain continuous casting process.
With a neat sketch, explain the different zones present in cupola furnace.
PART B
a. Sketch and explain TiG welding process. Mention its limitations. (tr$ s{arks)
b. What are the difflerent tlpes of flames produced is oxy - acetylene welding and explain in
brief with neat sketches. (10 Marks)
6 a. Explain the principle of Resistance welding. Also list its major applications. {06 Marks)
b. With a neat sketch explain laser beam welding. (ts N{arks}
e. Enumerate the advantages of Electron beam welding. ({14 }{arks)
7 a. What is Heat Affected Zane {HAZ)? Explain the parameter affectingBAz. (ls IV[arks)
b. List the functions of Electrode coatings. (04 Marks)
c. Write a short note on residual stresses in welding. (06 Marks)
8 a. Corrrpare soidering and Brazing process. Mention ttreir advantages, limitations an<l
With a neat sketch explain the constructional features and working of electrical
Furnace. List its advantages.
applications.
b. Explain Radiography inspection with a neat sketch.
{<{<{<**

9. USN l01V[E/AU34
iii) ['rin;iole
"t
r"o:*?ff;lfJ
{S2 &{arks)
(08lVtanks)
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a.
F
'fhird Semester B.B. Degree ExaMtffi , Derc"Z0 1 5/Jan.2 0 tr 6
Mechanics of Materials
Time: 3 hrs. N,z{ax. Marks:100
Note: Answer any FtrVE.full questioms, selecting atleast TWO qwestioms.{ro*a eaeh part"
PART - A
ii) Proportionality limitI a. Define i) Proof stress
io) Hooke's law.
b. Derive an expression for the total etongation of tlee tapered trar '','arfiiig'diarneter from dl to
dz, when subjected to axiai loadlP. (08 Marks)
c" A brass bar having of uniform cross * sectional area of 300mm2 is sub.jected to a load as
shown below. Find the total elongation of bar and the magnitude oli lc,ad 'P' if Young's
rnodulus is 84 GPa. (0E Marks)
r:
Fig.Ql(c)
2a.
b.
L.
Define : i) Foisson's ratio i0 Modular ratio.
Establish relationship between Young's modulus and rigidity modulus.
3a.
b.
For the stepped bar shown in fig.Q2(c), what is the maximum tempe:rature rise rn hich r.vill
not produce stress in the bar. Also find the stress induced when the tenlperature rise is 400C.
Take Es : 200GFa, Ee : lQOGPa I os : 12 x l0-6fc, o,a. : 18 x 10-6/0C. (lgMarks)
Fig.Q2(c)
4_Strr-t- eli(t*n"rrnf
A e1omrrr I o=or*r,lV
7 I '.------)U
4---.-,--) O
7,*-zoo----*$* ?Do4 fu- o' e r"rn
gl'1 txf,,
Define : i) Plane stress ii) Principal strain. (02 Marks)
Derive the expressions for normal stress, shear stress and resutrtant stress on a oblique plane
inclined at an angle '0' with vertical axis in a biaxial direct stress system. (08 Nlarks)
c. At a certain point in a strained material the values of normal stresses across two planes at
right angles to each other are 80MPa and 32 MPa, both are tensiie and there is a shear stress
af 32MPa clockwise on the plane carrying 80MPa stress. Determine principatr stresses,
rnaximum shear stress and their planes. {18 }{au"ks)
Deterrnine the strain energy in a cantilever beam of uniform cross - srectian and length 'L'
subjected to a uniforrnly distributed load of 'W' kNim over the entire span. (CI4 Marlcs)
For a thin cylindrical shell, the L/d ratio is 3 and its initial volurre is 20m3. The ultimate
stress for the cyiinder material is 200MPa. Determine the waltr thickness, if it has to convey
water under a head of 200m. Takei F.O.S as 2. (88 Manks)
c. Calculate the maximurn external to internal radius ratio for a thick r:ylinder with internal
fluid pressure of 15MPa and maximum hoop stress is 60MPa. (08 &[arks)
1 of2

10. 2
b.
lOME/A{J34
tMa. Deduce the relationship between relating loacl (W), shear force (F) and bending moment
(M). (06 Marks)
b. A bearn ABCD is simply supported at B and C, 4.5m apart and overhanging parts ,48 and
CD are 1.5rn and 2m long respectively. The beam carries a unif,orrarly distributed load of
10khtr/mL between A & C. There is a clock wise couple of 50kN-rn at D. Then draw S.F and
B.N[ rlia.granm and mark salient points. (14 Marks)
Enurnerate the assumptions made in theory of pure bending. Write the bending equation
with usual notations. (G6 Marks)
A beam of an I - section consists of 180mm x 15mm flanges and a web of 280rnm x L5mm
thickneiis" It is subjected to a bending moment of 120kN * m. Sketch the bending stress
distribution along the depth of the section. (06 Marks)
c. Provre that in case of a rectangular section of a bean-r the maximum shear stress is 1.5 times
({}8 lVlarks)
(10 Marks)
b. Determine the deflection under the loads in the beam shown in fig.Q7(b). Take Plexural
rigidity as I1I, throughout. (10 Ntarks)
Fig"tQT(t))
average s.herar stress.
t2
a. L)erive an expression EI ${ = M, with usual notations.
0x
a. A hollo'w circular steel shaft has to transmit 60KW at 210 rpm such that the rnaximum shear
stress dr;es not exoeed 50MN/m2. If the ratio of internal to external diarneter is equatr to 3Z
an,J the valu.e of rigidity modulus is 84GPa, find the dimensions of the shaft and angle of
twist in a length of 3m. (10 Marks)
b. Derirre an e,xrression for the critical load in a conumn subjected to cornpressive load, when
botir entli "aie fi.xed" (10 Marks)
2 af2

11. USN 1I}ME/AU36B
Max. hdarks:100
mass density, specific
(85 Marks)
{05 Marks)
(05 Marks)
(05 Marks)
(lS Marks)
(S5 Sdarks)
(iS N{arks}
(S5 Marks)
(05 Marks)
Third Semester B.E. Degree Bxamination, Dec.2015 l5an"20l6
Fluid Mechanics
b.
d.
o
o
!
p-
C)
o
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oo"g btJ
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Time: 3 hrs.
Note: Answer FIVE full qaestions, se'lecting
at least TWO qaestions from each parl
PART_* A,
tr a. 10m3 of mercury weighs 136 x 104N. Calculate its specific weight,
voiume and specific gravity.
State Newton Law of viscosity, Classify different types of fluids.
Derive an expression for a surface tension on liquid droplet.
za.
Derive on expression for a capillary fall, when the glass tube is dipped in mercury. (05 Marks)
State and explain Paseal and hydrodynamic laws. List the application of these [aws.
(05 Marks)
b. The right limb of a simple U-tube manometer containing mercury is c,pen to the atmosphere
while the left limb is connected to a pipe in which a fluid of sp gravity 0.9 is flowing. The
centre of the pipe is 12cm below the level of mercury in the right limb. Find the pressure of
fluid in the pipe if the difference of mercury level in the two limb is 20cm. (05 Marks)
c. A Tank contains water upto a height of 0.5m above the base. An immiscible liquid of
Sp. gravity 0.8 is filled on the top of water upto 1m height.
Calculate
i) Total pressure on one side of the tank ii) The position of centre of,pressure for one side
of the tank which is 2m wide. (05 Marks)
d. A rectangular plane surface 3m wide and 4m deep lies in water in such a way that its plane
makes on angle of 30'with the free surface of water. Determine the tr:tal pressure force and
3a.
b.
position oflcentre ofpressure, when the edge is 2m below the free surfhce.
Derive an expression for the meta-centric height of a floating body.
Ciassify the different types of Fluid Flow.
p1pe.
b. Explain diflerent types of forces acting in moving fluid.
c. Explain the rnethods of Dimensional Analysis.
The stream function tbr a two dimensional flow is given by V : 2xy. Calculate velocity at
the point P(2,3), find the velocity potential function Q. (05 Martis)
4 a. Derive Bernoulli's equation for the flow of an incompressible frictionless fluid from
consideration of momentum. (10 Marks)
b. The water is flowing through a pipe having diameter 20cm and 10cm at section 1 and 2
respectively. Tkre rate of flow through pipe is 35 litres/s. '.fhe section 1 is 5rn above da.tr-rrn
and section 2 is 4m above datum. (trO Marks)
PART - B
5 a. A venturimeter is used for measurement of discharge of water in a horizontal pipe line. If the
ratio of upstream pipe diameter to that of throat is 2:1 up stream diameter is 300rarn, tl:e
difference of pressure between the throat and upstream is equal to 3m head of water and loss
of head through meter is one eighth of the throat velocity head, calculate discharge in the
l of 2

12. 6 a. F{oi,v to dletennine the loss of head due to friction in pipes by using
i) Darcy Formuia ii) Chezy formula
b. Explain the terms i) ivlajor energy loss ii) Minor loss
iii) Hydraulic gradient line iv) Total energy line.
Va.
h
8a.
b.
***r<*
IOMEIAU36B
(05 Marks)
(n0 Marks)
Find the diameter o I a pipe of length 2000m when the rate of flow of water through the pipe
is 200 .[r's and the head lost due to friction is 4m take the value of e : 50 in Chezy's
Formula.
(05 Marks)
Derive on expression for laminar flow through circular pipe fHagen Poiseuille equation].
(10 Marks)
Derive on expression for laminar flow between two parallel stationary plates. (10 Manks)
Derive on expression for drag and lift. (n0 Marks)
State the Bernoulli's theorem for compressible flow. Derive an expression for Bemoutrli's
equation when the process is i) Isothermal ii) Adiabatic process. (10 Marks)
2 of2