Physics Stream (2013-January) Question Papers

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Physics Stream (2013-January) Question Papers

  1. 1. l l i i lr IUSN lOMATl1 First Semester B.E. Degree Examination, January 2Ol3 Engineering Mathematics -ITime: 3 hrs. Max. Marks:100 Note: I. Answer any FIVE full questions, choosing ut least two from each part. 2. Answer all objective type questions only in OMR sheet page 5 of the answer booklet. 3. Answer to objective type questions on sheets other than OMR will not be vulued. PART _ AI a. Choose the correct answers for the following : i) The Leibnitz theorem is the formula to find the nh derivative of A) trigonometric function B) exponential function C) product of two algebraic functions D)product of two functions (toesi* ii) The nh derivative of 5 is : A) log 5, 5- B) (log 5)" C) 5 D) (log 5;z e(loc5)* iii) The value of : c of the Cauchy mean value theorem for f(x) e., g(x) = e-* in (3, 7) is A) B) " : C) 0 5 3 D)4 iv) The generalized series of Maclaurins series expansion is A) Taylor series B) Exponential series C) Logarithmic series D) Trigonometric sertes (0,1 Marks) b. Verif, Rolles theorem forthe function f(x) = x2(l -x)2 in0 <x< l andalsofindthevalueof c. (04 Marks) c. tf sin ry = 2log(x +1), provethat (x+1)yn*, +(2n+1)(x+1)y"., +(n2 +4)y" =0. (06 Marks) d. Expand by using Maclaurins series, the function 1og(1 +sin x) upto fifth degree terms. (06 Marks)2 a. Choose the correcl answers lor the following : i) Thecurver r intersectorthogonallywiththelollowingcurve:A)r=, b - B) ,-__l_ C)r=-!- D)d l+cos0 l-cosO l+sin0 l-sin0 cos 0 ii) If$ be the angle between the tangent and radius vector at any point on the curve r = (e), then sin $ equals to A) d B) 19 c) .9 D).9 ds ds dr de iii) L Hospitals Rule can be applied to the limits of the form : 0/0 A) B) 0 xcc C).o-.o D).co iv) 1)* - is of the following form : A) 0 x oo B) * co er"#SU _ 0r (0,1 Marks) ,Lj(u - b. Evaluate 1im (tan x)""-. ,r) (04 Marks) W +p i2 ,l(fl;*,ffii x c. Findtheradiusofcurvatureforthecurve xy=a(x+y1 atthepoint(-2a,2a). (06 Marks) d. Find the Pedal equation for the curve r( I cos 0) = 2a. (06 Marks) a. Choose the correct answers for the following : ir If frr.y)-+-+,-J--.then*!!*y{ it : A)0 B)e iir Iir - p.orl.r]0., ,*^:-.,n.n tiXi : At p B) I c) 0 D)e A@,0,2) iii) If an error of l% is made in measuring its base and height, the percentage error in the area of atriangle is A)0.2% B) 0.02o/o c) 1% D) 2% iv) One of the necessary and su{ficient condition for a function to have a maximum value is A)AC 82>0,A<0 B)AC-B2=0,A:0 c)AC-82<0, A>0 D)AC-82>0,A>0 (04Marks) b. It V =e0 cos(a logr). proverhat +.1+.1*=o (06 N{arks) Cr r (jr r cU c Examine the function f (x, y) = 1 + sin(x + y1 for extremum values (05 Marks) d. In calculating the volume of right circular cone, errors of 2o/o and I %o are made in height and radius of the base respectively. Find the percentage error in the volume. (05 Marks) a. Choose the correct answers for the following : i) If F - VO, then the curl F : A) solenoidal B) inotational C) rotational D) none of these ii) tfV: x2 + y+ 3 then grad V is : A) 2xi+2yj B)2x+ 2y C) 2xi + 2yj + k D) xi + yj iii) The value of aof the vector p = (x + 3y)i+ (x -22)j+ (x + az)k , which is solenoidal : A) -2 B) -1 C) 0 D) 3 iv) If R= x2y +y2z+ z2x, then Laplacian ofR is: A)x+y+ 7 B)x-y-z C)2(x+y+z) D)2(x-y+z) (0lMarks) b. Find div F and curl F, where F: v1*3 + y3 + z3 -3xyz1. (06 Marks) c. Provethat curl(0 il) =0curlfr +grad$xil. (06 Marks) (01 Marks) d. Show that the cylindrical system is orthogonal. PART - B 5 a. Choose the correct answers for the following : i) The value of /j.or*rin,,, , dx is A) l/99 B) l/100 C) n/100 D) 99/100
  2. 2. F IOMATI I ii) The curve y2{a2 - x21: *(a *) i, A) symmetric about the x-axis B) symmetric about the x & y axis C) symmetric about the y-axis D) none ofthese iii) The length of the ara y: (x) from x : a to x: b is ,.(#).( !L jo* d*) D) none ofthese iv) The value of isino x dx is equal to : A) 3nl8 B) 3/8 C) nl16 D) rl4 (0.{ Nlarks) J 0 b. Obtain the reduction formula for Jsin, x dx . (0.{ Nlarks) a_ c. Evaluate (06 Marks) JxJa*_xrdx. d. Find the ul"u ofu, arch ofthe cycloid x = a(0 - sin 0) ,y : a(7- cos 0). (06 Marks) a. Choose the correct answers for the following : i) rhe order and degree of the differentiar equation . respectively is [, [*)1 A) one, two B) one, one C) two, one D) three, two ii) The differential equation It *".,, 1a* *".,,[r _;]* = , t. A) homogeneous and linear B) homogeneous and exact C) non-homogeneous and exact D) none ofthese iii) Thesolutionofthedifferentialequation.!I=.**,: A)efev:c B)e*+e-v:. C)e*-e-v:c D)e*,y-c dx iv) Replacing dy/dx by -d/dy in the differential equation of (x, y, dy/dx) = 0, we get the differential equation of A) polar trajectory B) orthogonal trajectory c) trajectory D) none of these (0.1 Marks) b. Solve !I--2x-Y+1. (06 Marks) dx x+2y -3 c. Solve dr + (2rcot 0 + sin 20)d0 = 0 . (06 {arks) d. Find the orthogonal trajectory ofthe family of coaxial *] , J , "i..1., a b+L -; =I . (0{ lark) 7 a. Choose the correct answers for the following : i) The normal form of the matrix are A) [lr, 0] ,,[l] .,[: D) all of these :] ii) The solution ofthesimultaneous equationsx+y:3,x-y= 3 is A) only trivial B) only unique C) unique and trivial D) none of these iii) ln Gauss Jordan method, the coefficient matrix reduces to matrix A) diagonal B) unit matrix C) triangular matrix ,D) none of these iv) Ifristherankofthematrix[A] oforderm xnthenris : o/r.iT t).=n _, C)r>n D)r>m (04Marks) o b. Find the rank of the following marrix by elementary transform, o =l , , , . (0;l Marks) l, , ,, ,,1 I Findforwhatvalueofkthesystem of equations x+y+2= l, x+2y+ 4z:k, posses a solution. Solve completely in each case. (06 ,larks) d. Solve the following system of equations by Gauss elimination method: x+ y +z= 9. x 2y + 3z = g; 2x+y-z-3 (06{arks) 8a. Choose the correct answers for the following : i) lf the determinant of the coefficient matrix is zero, then there exist A) trivial solution B) non-trivial solution c) unique solution D) no solution ii) If P is the modal matrix of an orthogonal matrix, then its inverse matrix is equal to A) P- B) P C) diagonalmatrix D) none of these iii) The quadratic form for the matrix o _ fa trl is : A) ax2 + 2hxy+by2 B) ax2+by2 C) ax2+2bxy+2by2 D) none ofthese Lh bl iii)The nature of the quadratic function of the matrix having the eigen values [0, 2, 4) is A) positive definite B) positive semi-definite C) negative definite D) negative semi-definite (0,1 Marks) Reduce the matrix r t- ;l to the diagonal form and hence find Aa. (06 Marks) ^_l_; ;] c. Find al the eigen vatues of the matri* : :^1 ^ l_t -4 3] (04 Marks) lz* d. Reduce the quadratic form 3x2 + 3y + 322 + 2xy 2yz+ 2zxinlo canonical form. (06 Marks)
  3. 3. 7 USN L0PIJYl2l22 First/Second Semester B.E. Degree Examination, January 2Ol3 Engineering Physics Time: 3 hrs. Max Marks:loo Note: l. Answer uny FIVE full questions, choosing at least two from each patt. 2. Answer alt objective type questions only in OMR sheet page 5 of the ansrver booklet. 3. Answer to objective type questions on sheets other thun-OMR will not be valued. 4. Pfuysicut constonts :- Velicity of tight, c = 3 x 10s m/s,Planks constant, h: 6.625 x lfil JS Electron charge, e: 1.602 x l(f le C, Mass of Electron, m = 9.1 I x lU31 kg, Avogadro number, ^. N,s:6.02x| do/Kmole, Permitivity of v,acuum eo:8.85x|Ul F/m, Boltzmann constant, K:1.3ilf23 J/K. PART _ A a. Choose the correct answers for the following : (04 Marks) i) The law which failed to account for shorter wavelength region of black body radiation spectrum is, A) Weins law B) Rayleigh-Jeans law C) Plancks law D) Maxwells law ii) The de-Broglie wavelength of a particle at rest is A) Zero B) infinite C) h/p D) h/v iii) lf group velocity of particle is 4.7 x 10u m/s then its phase velocity is, A) 6xlOnm/s B) 4.7 xl0om/s C) 9.4 x 106 m/s D) 1.91 x 1010 m/s iv) The particle velocity of wave is equal to, A) group velocity B) phase velocity C) velocity of light D) velocity of sound b. Describe Davisson and Germer experiment for confirmation of de-Broglie hlpothesis. (07 Marks) c. Derive de-Broglie wavelength using group velocity. (05 Marks) d. Calculate the de-Broglie wivelength of particle of mass 0.65 MeV/C2 has a kinetic energy 80 eV. (04 Marks) 2 a. Choose the correct answers for the following : (04 Marks) i) In quantum mechanics the energy operation is represented as: 22 )) h- a h2 a2 A)8;im6 , , B)- 2-T C) --i" , D) h;x 47r m d 8Ir mdx ^A !?-r r i/. - ii) The probability of finding the particle within an element of volume dt is, ?. ,,) o) - eSf,t?F?AL tx-- A) zero B) ilvl o, c) Ilvlo Jlv is, LII}fi]};?Y iii) If an electron moves in one dimensional box of length 2 nm, the normalization constant A) I (nm) _t/ " B) 2 (nm)-r f- C) {2 (nm)-l D)zero tkL*;^i,l iv) The energy of a particle En in one-dimensional potential box of width L and infurite height --=:::" is. ))tSg_ry A) nh I s;L? B) nh / 8 mL c) n2h: / mL2 D) n2h2 I 8 mL2 b. Set up Schrodingers time-independent wave equation. (08 Marks) c. Using uncertainty principle, prove that fiee elecffon does not exist inside the qucleus. (04 Mark) d. A spectral line of wavelength 4000 AU has width of 8 x l0-5 AU. Evaluate the minimum time spent by electrons in upper energy state between excitation and de-excitation processes. (04 Marks) a. Choose the corect answers for the following : (04 Marks) i) The liee electrons in classical free electron theory are treated as: A) rigidly fixed lattice points B) liquid molecules C) gas molecules D; none ofthese ii) The temperature dependence of classical expression for electrical resistivity of a metal is, A) paTN B) pcxT2 C) po 1/T2 D) pcr IT 1 iii) The value of Fermi function in Fermi-level is at T + 0 K, A) zero B) 0.s c) 0.71 D)t iv) If Ep is the Fermi energy at absolute zero, then mean energy E of electron at absolute zero is, A) E:1.sEF B)r=2l3EF c) E=2l5EF D)E=3/5 EF b. Explain failure ofclassical free electron theory. (06 Marks) c. What are the merits of quantum free electron theory? (06 Marks) d. Calculate the Fermi velocity and mean free path for conduction electrons in silver, given that its Fermi energy is 5.5 eV and relaxation time for electrons is 3.83,, 10-las. (04 Marks) a. Choose the correct answers for the following : (04 Marks) i) The electric dipole moment per unit volume is, A) magnetization B) dipole moment C) electric polarization D) electric susceptibility ii) Claussius Mussoti equation does not holds for, A) crystalline solids B) liquids C) gases D) vacuum
  4. 4. Contd... Q4 (a) L0PHYt2t22 iii) The relation between B, M and H is, A) H=po(M+B) B) B=pn(H+M) C) M=po(H+B) D) None of these iv) Above curie temperature ferromagnetic substance becomes: A) anti-ferromagnetic B) strongly ferromagnetic C) paramagnetic D) diamagneticb. Discuss polarization mechanism in dielectrics and their frequency dependence. (08 rark)c. Differentiate hard and soft magnetic materials with suitable application. (04 -rarks)d. An electric field of 10V/m is applied on a sample of neon at NTP. Calculate the dipole moment induced in each atom. The dielectric constant of neon is 1.00014. Find the atomic polariziability of neon gas. At NTP 1 kg atom of Ne - gas occupies volume of 22.4 m3 . (0{ rarks) PART _ Ba. Choose the correct answers for the following : (04 tarks) i) In He-Ne laser the laser emission takes place llom, A) He-atoms only B) Ne-atoms only C) both He and Ne atoms D) 50% from Helium and 50Yo from Neon ii) Which of the following leads coherent light: A) induced absorption B) Spontaneous emission C) Stimulated emission D) None of these iiD The pumping method used in semiconductor diode laser is, A) optical pumping B) electric discharge C) forward bias D) chemical reactions iv) The life time of metastable state is about, A) 10-3 sec B) l0-r3 sec C) 102 sec D) 10-e secb. Obtain an expression for energy density of radiation under equilibrium condition in terms of Einstein coefficient. (oE Marks)c. What is holography? Explain principle of hologram recording using laser. (04 N,tarks)d. A pulsed laser with power 1 mw lasts for ions. If the number of photons emitted per second is 5x107. Calculate the wavelength of laser. (0,1 Marks)a. Choose the correct answers for the following : (04 Nlarks) i) According to BCS theory, the cooper pair is pair of, A) Electron-Proton B)Electron-Electron C)Proton-Proton D) Electron-Neuhon ii) High temperature superconductors bear the crystal structure of A) cubic B) orthorhombic C) diamond D) perovskite iii) The acceptance angle ofoptical fiber whose RI ofcore and cladding of 1.55 and 1.50 respectively is, A)32 B)45" C)23. D) 15" iv) According to Meissner effect, material in super conducting state is, A) paramagnetic B) diamagnetic C) ferromagnetic D) anti-ferromagneticb. What is refractive index profile? Describe three types of optical fiber with one application for each type. (08 Marks)c. Explain working of SQUID with application. (04 Marks)d. An optical fiber of 600 mts long has input power of 120 mw which emerges out with power of 90 mw. Find attenuation in the fiber. (04 Marks)a. Choose the correct answers for the following : (04 Marks) D Thelatticeparameters a:b + cando:0:V:g0orepresent, , A) cubic B) tetragonal C) rhombohedral D) orthorhombic iD The co-ordination number of rock salt is, A)6 B)8 c) 12 D) t4 iii) Which of the following has least packing fraction, A) sc B) bcc C) fcc D) diamond iv) In a simple cubic lattice dr r r : dr ro i droo = A) G .5,,6 B) ,5 .6,6 c)6,6 fi D),6 fi,.Eb. Derive expression for interplanar spacing of crystal in terms of Miller Indices. (07 I.Iarks)c. What is atomic packing factor? Calculate packing factor for sc and bcc structure. (05 IVIark)d. What is Miller Index of planemaking interceptsratio 3a:4b on x- and y- axis and parallel to z-axis. a, b are primitive vectors? (0;l Marks)a. Choose the correct answers for the following : (04 Marks) i) A bulk material (three dimensions) reduced in one direction is called quantum: A) particle B) well C) dot D) wire ii) Which belongs to fullerene family? A) Cuo B) Cro C) C,ro D) Ail iii) Velocity of ultrasound through liquid is proportional to, A) density B) volume C) bulk modulus D) rigidity modulus iv) Ultrasonic waves cannot be transmitted through, A) solid B) liquid C) gas D) vacuumb. What is NDT? Describe the NDT method of detection of flows in solid using ultrasound. (08 Marks)c. What are nano materials? Write the structure and applications of carbon nano tubes. (08 Marks) ) of )
  5. 5. 10crv13/23 USN First/Second Semester B.E. Degree Examination, January 2Ol3 Elements of Givil Engineering and Engineering Mechanic;s Tinre: 3 hrs. Max Marks:100 Note: l. Answer any FIVE full questions, choosing at least two ftom each part. ci C) 2. Answer all objective q)pe questions only on OMR sheet page 5 of the answer booklet. L 3. Answer to objective type qaestions on sheets other than OMR will not be valued. o. PART _ A (04 Marks) E I a. Choose the correct answers for the following : d i) A branch ofcivil engineering that deals with testing soils and foundation design is called: d.) A) Geotechnical engineering B) Structural engineering 6) C) Environmental engineering D) Highway engineering L ii) Highways which are s=uperior ti National Highways and are provided wherever volume of traffic is very high are:(-)X ef eirways B) Expressways C) Roadways D) District roads iii) Composite material made using cement concrete and steel is called::z- A) Plain cement concrete B) Composite cement concrete C) Reinforced cement concrete D) Prestressed cement concrete5! iv) A bridge constructed at some angle to river flow is: A) Bascule bridge B) Square bridge C) RCC Skew bridge b. Write a note on impact of infrastructural development on the economy of (08 Marks) c. Explain different types of dams, with neat sketches. (08 Marks)!= 2 a. Choose the correct answers for the following : aH*!"?"c) ,h. g r (0.1 Marks)-- i) Forces whose line of action lie along the same line are: til A) Coplanarnon-concurrent B) Coplanarpbrallel C) fLtB;titr""fD €, *t- ii) Voment of a force about a moment centre is the measure of its A) Rotational effect B) Translatory effect Cl Both A one oftheser-= iii) The translatory effect ofa couple on the rigid body is,riau A) Zero B) Maximum C) Minimum D) None of these iv) An object with only mass but no size in mechanics is,b!< A) Rigid body B) Point body C) Particle D) Deformable body b. State and prove Varignons theorem. (08 Marks) ,d c. i) A forie of 200 fr is acting on a block shown in Fig. Q2 (c) - (i). Find the components of forces along horizontal-od and vertical axes. Ignore the liiction between contact surfaces. ii) A nail is to be removed by applying 4 kN force and a force F as shown in Fig. Q2 (c) (ii). Find the magnitude of force F so that the nail is pulled out vertically from the ground. Also, determine the resulting pull along (08 Marks) ?(J vertical axis t4 0_ a. Choose the correct answers for the following : (04 Marks) oj i) Iftwo concurrent forces each ofP act at right angles to each other, their resultant will be equal to qE A) Pf B) 2-,6 C) 4P D)P a() a|I ii) The technique offinding the resultant ofa system offorces is called, , A) Composition B) Resolution C) Equilibrium D) None of these ! iii) In a coplanar concurrent force system, if I V = 0 , then the resultant is, o.il > (ts A) Moment of the force system B) Vertical C) Horizontal D) None of these aa0 iv) If two forces act at an angle of I 20, the greater force is 50 N and their resultant is perpendicular to smaller (j= force, the magnitude of smaller force is, 9O Ei A) 43.33N B) 32.50N c) 25N D) Noneofthese b. Determine the resultant force acting on the structure at point O both in magnitude and direction for the system ofU< forces shown in Fig. Q3 (b). (06 Marks) c. Determine the magnitude, direction and point of application of the resultant force for the system of forces shown in-j c.i (10 Marks) (-) Fig. Q3 (c) with respect to point O. (0,1 Marks)z o a. Choose the correct answers for the following : i) Centroid of plane is the point at which, A) Weight of the body is concentrated B) Mass ofthe body is concentrated P C) Surface area ofthe body is concentrated D) Allofthese o- ii) An axis over which one half of the plane figure is just the mirror of the other half is called: A)Bottom axis B) Axis of symmetry C) Unsymmetrial axis D) All ofthese iii) The centroid of the plane lamina will not be at its geometrical centre if it is a: A) Rectangle B) Square C) Circle D) Right angle triangle iv) Centroid of a quarter of circular lamina lies from diameter line at a distance of: A) 4R/3n B) R/3a C)2R/3n D) None ofthese b. Locate the centroid ofa triangle by the method ofintegration. (06 Nlarks) c. Locate the centroid of the shaded area shown in Fig. Q4 (c) with respect to OX and OY. All dimensions are in mm. (10 Marks)
  6. 6. PART - B 10crv13/23 a. Choose the correct answers for the following : (0a Marks) i) A free body diagram is a diagram, A) Drawn by free hand B) Represents a floating body C) Separating the body flom its surrounding and replacing with force vector D) Allofthese ii) The Lamis theorem can be applied only when number of unknown forces are: A) Two B) Three C) Five D) None of these iii) lf a body is in equilibrium, it is concluded that, A) No force is acting B) Resultant is zero C) Moment about any point is zero D) BothB&C iv) For a smooth spherical surface reaction acts: A) Horizontal to plane of contact B) Inclined to plane of contact C) Perpendicular to plane ofcontact D) None of these b. An electric bulb weighing 150 N is suspended between wall and the roof by two wires as shown in Fig. Q5 (b). Determine the tension in the wires using Lamis theorem. (06 Marks) c. Find the reaction at the contact surface for two identical cylinders weighing 1000N each as shown in Fig.Q5(c) (10 Marks) a. Choose the correct answers for the following : (0,1 Marks) i) Reaction line at roller support with respect to plane ofcontact is, A) Oblique B) Perpendicular C) Inclined D) None of these ii) When a load acts at constant rate over given length of a beam is called, A) point load B) udl C) uvl D) All ofthese iii) At the fixed end of Cantilever, the number of unknowns reaction components are: A)t B)2 c)3 D)4 iv) Minimum number of members required to form a simple truss is, A)2 B)3 c)4 D)5 b. Define perfect and imperfect truss. Hence list the assumptions made in the analysis of simple truss. (06 Mrrks) c. Determine the reaction components for the loaded beam shown in Fig. Q6 (c). (10 Marks) a. Choose the correct answers for the following : (04 Marks) i) The maximum frictional force developed when the body just begins to slide is called: A) limiting friction B) Rolling friction C) Static friction D) None of these ii) Compared to static friction, kinetic friction is, A) Larger B) Equal C) Smaller D) None of these iii) Angle of friction is the angle between, A) Normal reaction and friction force B) Normal reaction and resultant C) Weight of the body and friction force D) Normal reaction and weight ofthe body iv) The force offriction depends on: A) Area of contact B) Roughness of contact surface C) Both A & B D) None of these b. Explain briefly: i) Angle of repose ii) Cone of friction (06 Marks) c. A ladder weighing 200 N is supported as shown in Fig. Q7 (c). If a man weighing 650 N climbs to the top of the ladder, determine the inclination of the ladder with the floor at which the ladder is to be placed to prevent slipping. Take p = 0.25 for all contact surfaces. (10 Marks) a. Choose the correct answers for the following : (04 Marks) i) Moment of inertia is, A) Second moment of area B) First moment of area C) Third monlent of area D) None of these ii) M.I. of circular section about centroidal axis is, A) rDo I 32 B) 7rD4 / 48 c) nD4 I 64 D)nD4ll28 iii) The unit ofradius ofgyration is, A) mm B) mm2 C)mml D) mma iv) M.I. of a square of side B about its centroidal axis is, A)84t8 B)B4:D c)B4l36 D)84/48 b. State and prove parallel axis theorem. (06 Nlarks) c. Determine radius of gyration of shaded area shown in Fig. Q8 (c) about the base AB. (10 Iarks) It (, l+nFig. Q2 (c) - (i) 2O lifr{+ --Flp}.fi{ + Fig. Q2 (c) - (ii) Fig. Q3 (b) Fig. Q3 (c) 50 ao --+r Fig. Qa (c) 50 kNl ry 4f B Fig. Q6 (c) Fig. Qs (b) Fig. Qs (c) Fig. Q7 (c) Fie. Q8 (c)
  7. 7. I7 USN lOEM.El4124 First/Second Semester B.E. Degree Examination, January 2013 Elements of Mechanical Engineering Time: 3 hrs. Max. Marks:100 6) a C) Note: l. Answer any FIVE full questions, choosing at least two from each part. L p. 2. Answer all objective type questions only on OMR sheet page 5 of the anstryer booklet. 3. Answer to objective type questions on sheets other thsn OMR will not be valued. a 4. Use of steam tubles is not permitted. PART _ A 6) I a. Choose your answers for the following : (04 Marks) 6) k i) Hydro energy is considered ?S _, oX co# A) Tidal energy B) Heat energy C) Indirect solar energy D) Ocean energy ii) The primary processes of solar energy are:- A) Heliochemical process B) Helioelectrical process C) Heliothermal process D) A11 of these d9_o iii) Lanchashire boiler is a boiler, cco ool A) Water tube B) Fire tube C) Gas tube D) Air tube.-a iu) The temperature at which water starts to boil in static pressure is _, A) Sensible heat B) Saturation temperatule C) Wet steam temperature D) Dry steam temperature /.! b. Find the total enthalpy of 0.6 kg of steam with an initial dryness fraction of 0.7 is heated at constant pressure--=t F,- of 7 bar till its temperature rises to 250C. Assume Cps: 2.25 KJ/kgK. From steam table, at 7 bar, hr- 679.1 KJ/kg, hrs:2064.9 KJ/kg, T,u,: 165C. (06 Marks) c. Explain with a neat sketch, the working principle of a Lanchashire boiler. (10 Marks) ;i2 2 a. Choose your answers for the following : (04 Marks) oo) i) It is an example of reaction turbine, ,d) De-Laval turbine B) Kaplan turbine C) Flow turbine D) Pelton wheel ooi ii) Open cycle gas turbineuses as the working substance, A) Ammonia B) Nitrogen C) Air D) CO2 iii) is example for reaction water turbine, A) Pelton wheel B) Francis turbine C) Kaplan turbine D) Both B and C iv) Method of improving efficiency by successive stages in a turbine is _, A) Governing B) Compounding C) Supercharging D) Turbocharging o-X b. With a neat sketch explain the working of a open cycle gas turbine. (08 Marks) c. Sketch and explain the working of reaction steam turbine with the velocity profile oj diagram. (08 Marks) a)= a. Choose your answers for the following : (0,1 Marks) t() o|I i) The motion of a piston is_, !ol A) Rotory B) Oscillatory C) ii) Diesel engine is also called as , >3 A) 4-skoke engine iii) il" il;;"?r.a B) 2-stroke engine l, " c) "- io0 d)= A) Indicated power in t.7ruintr"r,H#i;;;" B) Brake power ,""XI6-e D) Torque o. ii =o iv) is fed into the diesel engine through inlet valve, C,- A) Fuel B) Diesel C) Air tuel mixture D) Airlr< b With the help of a line diagram, explain the working of a two-stroke petrol engine. (08 Marks)-cl c. A 4-cylinder two-stroke petrol engine develops 30 kW at 2500 rpm. The mean effective pressure on each C) piston is 8 bar and mechanical efficiency is 80%. Calculate the diameter and stroke of each cylinder, stroke to bore ratio 1.5. Also calculate the specific fuel consumption if brake thermal efficiency is28o/o. The calorificz value of fuel is 43900 KJ,&g. (08 Marks) df a. Choose your answers for the following : (04 Marks) o. i) is the heart ofthe refrigerator, = A) Compressor B) Condenser C) Expansion valve D) Evaporator ii) The ratio of heat absorbed in a system to work supplied is A) Refrigeration effect B) COP C) Ton of refrigeration D) Coding effect iii)Inarefrigeratorexchangeofheattakesplacein-, A) Condenser B) Evaporator C) Compressor D) Both A and B. ir) is the refrigerant used in vapour compression refrigerator, A) Ammonia B) Air C)Freon-22 D) Nitrogen I nf?
  8. 8. l- t0FNIEl4l24 (08 Marks) b. Explain with a neat sketch the working of vapour compression reliigerator. (08 Marks) c. with a neat sketch explain the working of a typical rooin air conditioner. PART _ B (04 Marks) Choose your answers for the following : i) object are produced in a engine lathe A) Ptrre objects B) Curved objects C) Circular objects D) None of these iD Taper tuming is an operation of producin g the work piece A) Tapping B) Reaming C) TaPer D) Boring iii) Flute in a twist drill is used for, A) Flow of Coolant B) Removal of material C) -on Easy removal of curl chips D) All of these iv) is not a drilling oPeration, turning B) Reaming C) Knurling D) Tuming b. Explain with a schematic diagram, show how a centre lathe is specified. (08 Marks) c. How are counter sinking an"d counter boring operation done on a drilling machine? Explain with suitable (08 Marks) sketches. a. Choose your answers for the following : (04 Marks) i) Milling cutter is ? A) Multipoint cuttingtool I Abrasive cuher C) Single point cutting tool D) Metal removing machine ii) Milling is a A) Metal -----, r.*o*1 p.o..ss B) Metal cutting processor C) Metal joint process D) None of these iii) -, el Oia*ona B) Corundum C) Emery D) Aluminium Nitrate iv) Grinding is also called as A) B) C) Abrasive machining D) Lapping b. Turning -_- Metal cutting (08 Iarks) Sketch and explain the principle and working of a horizontal milling machine. c. With a neat sketch, explain the surface grinding machine. (08 Iarks) a. Choose your answers for the following : (04 Marks) i) Welding is a process used for metals, A) M;llurgical joining B) Forged forming C) Mechanical joining D) Adhesive bonding ii) Gas welding is a method ofjoining two metals A) Fission B) Fusion c) Gas reaction D) oxidizing iii) Lubricants are used to reduce the in machines A) Efficiency - B) Effectiveness c) Friction -- D) Torque iv) In thrust bearing the bearing pressure will be A) Radial B) Circular C) Axial . D) Centrifugal (08 Marks) b. With a neat sketch, explain the working of oxy-acetylene gas welding (08 Marks) c. List the important properties of good lubricant. (04 Marks) a. Choose your answers for the following : i) The motion is the simPlest form of transmitting power with minimum losses. A) Rotational B) Rectilinear C) Oscillatory D) None of these ii) - is also called as positive drive mechanisms. n) e"lt drlu" B) Chain drive c) Gear drive D) Both B and c. iiD tlpe of gear drive is used for transmitting power between two perpendicular shafts. A; eeu"l gea. B) Elliptical gear c) Helical gears D) Spur gear iv) For high - power transmission _ is most suitable power transmission. A) eelt drive B) V-belt drive C) Rope drive D) Gear drives b. Derive an expression for the length of the belt in an open drive system. (08 Marks) c. Two spur gears A and B connect two parallel shafts that are 500 mm apart. Cear A runs at 400 rpm and gear B at 200 rpm. If the circular pitch is 30 mm. Calculate the number of teeth on gears A and B. (08 Marks) *rrJr**
  9. 9. USN roELE15/25 First/Second Semester B.E. Degree Examination, January 2Ol3 Basic Electrical Engineering Time: 3 hrs. Max. Marks:100 (.) o Note: 1. Answer any FIVEfull questions, choosing at leqst twofrom each part. () L 2. Answer all objective type questions only on OMR sheet page 5 of the unswer booklet. o. 3. Answer to objective type questions on sheets other thun OMR will not be valued. q PART - A I a. Choose the correct answers for the following : (04 Marks) 0.) i) The Ohms law can not be applied to P A) Resistance B) Inductance C) Capacitance D) DiodeoX ii) The practical unit ofelectrical energy is A) kwh B) Wh C) Watt - second D) Joule second;l> iii) The self inductanceL is given by_a A) Nor B) Nr/ 0 c) No/r D) raroiol iv) A current of 20 A is reversed in 0. 1 sec through an inductance of 1 H, thus emf induced is volts=a A) 200 B) - 200 c) - 600 D) +400 - (06 Marks) b. State and explain Kirchofls laws. c. Obtain an equation for the energy stored in a magnetic field. (04 Marks)a-E,A d. A circuit consists of two parallel resistors having resistance of 20 Q and 30 f) respectively., connected inF- series with 15 O. If current through 15Q resistor is 3,{, find (i) current in 20O & 30O resistors, (ii) voltageC) -^ across the whole circuit, (iii) the total power and power consumed in all resistances. (06 Marks) a. Choose the correct answers for the following : (0,1 Marks)6: i) The power factor of a pure resistive circuit isOU A) zero B) unity C) lagging D) leading ii) The average power consumption is a pure inductor isootr A) maximum B) minimum C) zero D) infinite iii) The admittance is _ impedance. A) equal to B) square of C) reciprocal of D) square root ofL= iv) A series R.C. circuit of 6 - j8f) carries a current of 10A then its power consumption is-2CJ A)60W B) 600 w c) 100 w D)80W a, b. Define and derive an expression for root mean square value of an alternating quantity. (06 Marks) :9 c. Show that current leads voltage in R-C series circuit. (0l Marks) a." d. An impedance in parallel with a 100 prP capacitor is connected across a 200 V, 50 Hz supply. The coil takes a ); current of 4,A and power loss in the coil is 600 W. Calculate (i) resistancegQ(ii) inductance of the coil (iii) the power factor of the circuit. Of +- ,ff (06 Marks) .UG a. -hoose lor tne lollowlng Choose the corect answers for the following i) In a 3 ph. System emfs are l) ln J pn. : ,/8T ia ,, / s;-t, e* (04 Marks) L(J emts l,$t v: >. ,+ A) 30" apart B) 60" apart C) 90tffittCe*:rmAE" m ll20 apart bo- -bo ii.t In aOconnected system relation between [1and Io6 is }t L9tsi:AnY f*1 A) r1:rpr, B)r,: rphtJl c) I,T6{; Yu-{.07 ;fs)fi:ttrn a, (J= o. ;j iii) The totalactive power in a 3 ph. System is =o () A) 6vLIL B) .6vr-Ir cos4 c) vLIL t9ry22o; .[V1l1sin$(r< iv) lf the two wattmeters show equal reading, power factor is_N A) zero B) 0.5 C) unity D) 0.866 6) b. With the help of connection diagram and phasor diagram show that two wattmeters are sufficient to measure the active power in a three phase three wire system with balanced star connected load. (10 Marks)z A 3 phase 230 V supply is given to balanced load which is A connected. Impedance in each phase of the load is 8 +.i6 O. Determine the phase current and the total power consumed. (06 Marks) o o. a. Choose the correct answers for the following ; (04 Marks) i) In a dl,namometer wattmeter the fixed coil is A) current coil B) Potentialcoil C)current or pressure coil D) None of these ii) In the energy meter, constant speed of rotation of disc is provided by A) shunt magnet B) series magnet C) brake magnet D) creeping holes iii) Ratio minimum fusing curent / current rating is fuse is A) fusing factor B) rated current C) fusing current D) melting curent ir) A good earthing should provide resistance in earthing point. A) low B) hish C) medium D) very high
  10. 10. 10ELE15/25b. With a neat diagram, explain the construction and principle of operation of a single phase induction energy meter. (08 Marks)c. With neat diagram, explain the two-way control of a lamp. a (04 Marks)d. What are the precautions to be taken against electric shock? (0,1 N{arks) PART _ Ba. Choose the correct answers for the following : (04 Marks) i) The emf generated by a d.c. generator depends on _ A) Flux only B) speed only C) Flux & Speed D) Terminal voltage ii) For P pole lap wound armature DC machine, no. of parallel ports A)2 B) 2P C)P D)P/2 iii) Yoke is made up of _ A) Copper B) Aluminium C) Cast steel D) Cast Iron iv) ln a240 V d.c. motor, Eb:220 V, R* : 0.5 O, I, is A)20A B) 10A c)80A D)40Ab. With a neat sketch, explain the construction of a d.c machine. (06 Marks)c. Derive the torque equation of d.c. motor. (05 Marks)d. A 4 pole generator with wave wound armature has 51 slots each having 24 conductors. The flux per pole is 0.01 Weber. At what speed the armature rotate to give an induced emf of 220 V? What will be the voltage of the winding in lap and the armature rotates at the same speed. (05 Marks)a. Choose the corect answers for the following : (04 N{arks) i) The copper loss of certain transformer at half fulI load is 200 W. Then the full load copper loss is A) 100 w 8)200 w c)400 w D) 800 w ii) If secondary current of 100/10 V transformer is 10 A, then primary current is A)lA B)2A c) 10A D) 100 A iii) The core of a transformer is laminated to reduce A) eddy current B) hysteresis current C) copper loss D) friction loss iv) The Iiequency loss of secondary voltage is _ that of primary voltage. A) greater than B) less than C) same as D) doubleb. Explain the principle of operation of a single phase transformer. Mention the types of transformers. (08 Nrarks)c. A 600 kVA, I ph transformer has an efficiency of 92%o both at full load and half load upf. Determine the efficiency at 75oh full load 0.9 power factor. (08 Marks)a. Choose the correct answers for the following : (04 NIarks) i) A 4 pole, 1200 rpm alternator generates emf at a frequency of A)25 Hz B) 40 Hz C) 50 Hz D) 60 Hz ii) The field winding of an alternator is excited by A) dc B) ac C)ac&dc D) 3 ph. ac iii) A salient pole field construction is used for alternator having A) low & medium speed B) large speed C) very large sp6ed D) none of these iv) The values of pitch factor (kp) for full pitch A) less than I B) more than 1 c)1 D)0b. Derive the emf equation for a star connected 3 phase slmchronous generator. (06 Marks)c. Sketch the two types of rotors used in an alternator. (04 Marks)d. A 12 pole 500 rpm star connected altemator has 48 slots with 15 conductors per slot. The flux per pole is 0.02 web. and is distributed sinusoidally. The winding factor is 0.97 and pitch factor is 0.98. Calculate the line emf. (06 Nlarks)a. Choose the correct answers for the following : (0,1 N.Iarks) i) The clip of an induction motor at standstill is A)0 B)t c)* D) -t ii) Slmchronous speed of three ph. Induction motor is given by A) N,: 120 fP B) r20aP c) 120Ptf D)trt120 iii) A 4 pole, 440 Y ,50 Hz induction motor is running at a slip of 4oh the speed of motor is A) 1260 rpm B) 1440rpm C) 1500 rpm D) 1560 rpm iv) Speed of an induction motor is that of N, A) greater than B) less than C) same as D) doubleb. Prove that a rotating magnetic field of constant magnitude is produced when the stator winding of a polyphase induction motor are energized by a balanced 3 phase supply. Explain the principle of operation of induction motor. (10 Marks)c. A 4 pole, 3 phase, 50 Hz induction motor runs at a speed of 1470 rpm. Find the frequency of the induced emf in the rotor under this condition. (06 Marks) ***** a a
  11. 11. rt 1OcrP18i28 Question Paper Version : C USN First/Second Semester B.E Degree Examination, January 2Ol3 Gonstitution of lndia and Professional Ethics (coMMoN TO ALL BRANCHES) Time: 2 hrs.l [Max. Marks: 50 INSTRUCTIONS TO THE CANDIDATES 1. Answer all the fifty questions, each question carries ONE mark. 2. Use only Black ball point pen for writing / darkening the circles. 3. For each question, after selecting your answer, darken the appropriate circle corresponding to the same question number on the OMR sheet. 4. Darkening two circles for the same question makes the answer invalid. 5. Damaging/overwriting, using whiteners on the OMR sheets are strictly prohibited. 1. The greatest impediment to responsibility is a) Rampant corruption b) Selfinterest c) Interference by politicians d) Interference by higher ofticials 2. Conflict of interest may be: a) Actual b) Imaginary c) Produced d) True 3. 10 b) 15 c) l8 d) 20 The patent holder does not allow other to use potential information for years: a) 4. Fear is _ to responsibility: a) a way to shift b) an impediment c) conflict d) both a and c 5. Risk estimation can be done by using: a) cooking b) trimming c) event tree d) both a and b 6. How many members retired in legislative council for every two years? a) l/4 b) 1/3 c) 1/5 d) 116 7. How many members are there in Karnataka Legislative Assembly?: a) 120 b) 220 c) 225 d) 235 8. The Council Minister and Prime Minister should not exceed the total strength of the parliament a) 5% b) 10% c) 12o/o d) ls% 9. The Prime Minister shall be selected liom a) President b) Vicepresident c) Majority party of Lok Sabha members d.lNone of these ,-ffL 10. The Vice President is elected by electoral college consistof ,,ilf:-Yj.*,=t constituency a) Adult ftanchise of the b) Lok Sabha and State Assembly itf + c) Rajya Sabha members d) Lok Sabha and Rajyasabha members 4 { "-* - . * I l. The president of India can be removed from his office only on grounds of a) Accepting bribe b) Disobedience of the parliament c) Violating the constitution d) Showing favours to his party members . 12. The disputes regarding the election ofthe president oflndia are decided by a) The Supreme Court of India b) The Parliament c) The Lok Sabha 13. Who appoints the advocate general?: a) Governor b) President c) Prime Minister d) Chief Minister 14. The first president election held during the year: a) 1950 b) 1947 c) 1951 d) 19s2 15. The Indian constitution the subject of administration have been divided into a) Two list b) Three list c) Four list d) Five list 16. Which of the following words were added to the preamble of the Indian constitution by lhe 42"d amendment? a) Secular b) Socialist c) Integrity d) AII of these 17. The ultimate source of authority of India a) The government b) The constitution c) The parliament d) The people -c1 -
  12. 12. E 10ELE15/2s b. With a neat diagram, explain the construction and principle of operation of a single phase induction energy meter. (08 Marks) c. With neat diagram, explain the two-way control of a lamp. a (04 Marks) d. What are the precautions to be taken against electric shock? (04 Mark) PART _ B a. Choose the correct answers for the following : (0,1 Marks) i) The emf generated by a d.c. generator depends on _ A) Flux only B) speed only C) Flux & Speed D) Terminal voltage ii) For P pole lap wound arrnature DC machine, no. of parallel ports A)2 B) 2P C)P D) Pl2 iii) Yoke is made up of _ A) Copper B) Aluminium C) Cast steel D) Cast Iron iu) ln a240 V d.c. motor, Eb:220 V, &:0.5 O, Iu is A)20A B) r0A c)80A D)40A b. With a neat sketch, explain the construction of a d.c machine. (06 Marks) c. Derive the torque equation of d.c. motor. (05 Marks) d. A 4 pole generator with wave wound arrnature has 5l slots each having 24 conductors. The flux per pole is 0.01 Weber. At what speed the armature rotate to give an induced emf of 220 V? What will be the voltage of the winding in lap and the armature rotates at the same speed. (05 Marks) a. Choose the correct answers for the following : (04 Marks) i) The copper loss of certain transformer at half full load is 200 W. Then the full load copper loss is A) 100 w B) 200 w c) 400 w D) 800 w ii) If secondary current of 100/10 V transformer is l0 A, then primary current is A)rA B)2A C)10A D) r00 A iii) The core of a transformer is laminated to reduce A) eddy culrent B) hysteresis current C) copper loss D) liiction loss iu) The frequency loss of secondary voltage is _ that of primary voltage. A) greater than B) less than C) same as D) double b. Explain the principle of operation of a single phase transfomer. Mention the types of transformers. (08 Mark) c. A 600 kVA, I ph transformer has an efficiency of 92% both at full load and half load upf. Determine the efficiency at75oh fullload 0.9 power factor. (08 Marks) a. Choose the correct answers for the following : (04 Marks) i) A 4 pole, 1200 rpm alternator generates emf at a frequency of A)25H2 B) 40 Hz C) 50 Hz D) 60 Hz ii) The field winding of an alternator is excited by A) dc B) ac C)ac&dc D) 3 ph. ac iii) A salient pole field construction is used for alternator having A) low & medium speed B) large speed C) very large sfeed D) none of these iv) The values of pitch factor (kp) for full pitch A) less than I B) more than I c)1 D)0 b. Derive the emf equation for a star connected 3 phase slmchronous generator. (06 Marks) c. Sketch the two types of rotors used in an alternator. (04 Marks) d. A 12 pole 500 rpm star connected alternator has 48 slots with 15 conductors per slot. The flux per pole is 0.02 web. and is distributed sinusoidally. The winding factor is 0.97 and pitch factor is 0.98. Calculate the line emf. (06 Marks) a. Choose the correct answers for the following : (0d Nlarks) i) The clip of an induction motor at standstill is A)0 B)l C) oo D) -l ii) Slmchronous speed of three ph. Induction motor is given by A) N,: 120 fP B) 120flP c) 120 Ptf D) fP / 120 iii) A 4 pole, 440Y,50 Hz induction motor is running at a slip of 4%o the speed of motor is A) 1260 rpm B) 1440 rpm C) l500rpm D) 1560 rpm iv) Speed of an induction motor is that of N, A) greater than B) less than C) same as D) double b. Prove that a rotating magnetic field of constant magnitude is produced when the stator winding of a polyphase induction motor are energized by a balanced 3 phase supply. Explain the principle of operation of induction motor. (10 Marks) c. A 4 pole, 3 phase, 50 Hz induction motor runs at a speed of 1470 rpm. Find the {iequency of the induced emf in the rotor under this condition. (06 Marks) ****{< a
  13. 13. 10crP18/28 USN Question Paper Version : C First/Second Semester B.E Degree Examination, January 2Ol3 Gonstitution of lndia and Professional Ethics (coMMoN TO ALL BRANCHES)Time: 2 hrs.l [Max. Marks: 50 INSTRUCTIONS TO THE CANDIDATES l. Answer all the fifty questions, each question carries ONE mark. ", Use only Black ball point pen for writing / darkening the circles. 3. For each question, a{ter selecting your answer, darken the appropriate circle corresponding to the same question number on the OMR sheet. 4. Darkening two circles for the same question makes the answer invalid. 5. Damaging/overwritingo using whiteners on the OMR sheets are strictly prohibited. l. The greatest impediment to responsibility is a) Rampant corruption b) Selfinterest c) lnterference by politicians d) Interference by higher offlcials 2. Conflict of interest may be: a) Actual b) Imaginary c) Produced d) True 3. l0 b) 15 c) l8 d) 20 The patent holder does not allow other to use potential information for years: a) 4. Fear is _ to responsibility: a) a way to shift b) an impediment c) conflict d) both a and c 5. Risk estimation can be done by using: a) cooking b) trimming c) event hee d) both a and b 6. How many members retired in legislative council for every two years? a) 1/4 b) ll3 c) 115 d) 116 7. How many members are there in Karnataka Legislative Assembly?: a) 120 b) 220 c) 225 d) 235 8. The Council Minister and Prime Minister should not exceed the total strength of the parliament a) 5o/o b) 10% c) 12% d) 1s% 9. The Prime Minister shall be selected from a)President president b) Vice c) Majority party of Lok Sabha members d) None of these -. 10. The Vice President ls elecreo by electorat coilege consrsl or I rre v rce rresloenr is elected Dy electoral college consist of ur /"ni? /L*v^.:{., /^* -H a) Adult lianchise of the constituency b) Lok Sabha and State Assembly i.*,/ i.:.*/ X.^ c) Rajya Sabha members sr ) d) Lok Sabha and Rajyasabha members , o< / , - "r I l. -rL^ r-,i:^ ^^- r.^ -^*^,.^r G,"^* his office only on grounds of The --^.i,{^-+ ^f India can be removed from president of L:- ^ffi^^ ^-r,, ^- ^-^,,-,{^ ^f i ,,/ cr.t;gn-:u f-} i bribe parliament ),tf uru*"to* 12. a) Aicepting bribe Accepting c) Violating theconstitution b) Disobedience of the parliament The disputes regarding the election of the president of India are decided a) The Supreme Court of India b) The Parliament c) The Lok by Sabha .-}1;{ -Nr. Court-$y J;l 9/ / d) Showing favours to his party members t L - d) The High nllrt "/s 13. Who appoints the advocate general?: a) Governor Minister b) President c) Prime d) Chief Minister 14. 1950 The first president election held during the year: a) 1947 1951 b) c) d) 1952 15. The Indian constitution the subject of administration have been divided into a) Two Iist b) Three list c) Four list d) Five list 16. Which of the following words were added to the preamble of the Indian constitution by the 42"d amendment? a) Secular b) Socialist c) Integrity d) All of these 17. The ultimate source of authority of India a) The government b) The constitution c) The parliament d) The people -cl

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