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e thermal energy for a ‘, oa — difference between displacement i mnastoee gas is (where, ky is —, and acceleration of a particle in a simple hoatomic 82s "absolute temperature., harmonic motion is P constant and 7 is abs, , 6, 3 3 (b) 5 kal, (a) > rad (b) 5 rad (a5 kal a, 7 =, (c) zero (9) wrad (c) Ska? (5 hel, 2. Along solenoid of 50 cm length havin | the origin when a, 100 turns carries a current of 2.5 A, The 2 man “= eae mite whose, magnetic field at the centre of solenoid is forceo 3JNa k, (Take, tp =4nx 107 Tm A) position vector is2 km. ., (a) 314 x10“ T (b) 6.28 «10° T f6iNm erie, () 314 x10 T (d) 6.28 x10“ T ()8kNem aetvan, th 4 for a gas, with *,, 3. Two bodies of mass 4 kg and 6 kg are tied to &. The mean free pe A “ee, the ends of a massless string, The string molecular —. d and number density, passes over a pulley which is frictionless can be Ni es 4, (see figure). The acceleration of the system (a) O—aas, in terms of acceleration duc to gravity g is 2 pa v2 r nd, O Bie ° Enna, 9, The energy equivalent of 0.5 g of a substance, is, oo fa) 45x10" y (b) 15 x10 J, cm (05x10 v (d) 45 x10 J, ‘ d, faig2 oS tcgNd deg 10. A screw gauge has least count of 0.01 mm, 4. The ratio of contributions made by the and there are 50 divisions in its circular scale., electric ficld and magnetic ficld components, The pitch of the screw gauge is, to the intensity of an electromagnetic Wave 6 (a) 0.25 min (b) 0.5mm, (where, ¢ = speed of electromagnetic waves) (c) 1.0mm {d) 0.01 mm, 2 ‘, (aya: (tc = (t-c* (est 11. - —_ SA = of equal capacity are, Inected Lo each other vi, 5, In acertain region of space with nee contains an ideal gas : mien penne, 0,2 m?, the electric potential is ea 7 and pressure, B is completely evacuated. The, 5 V throughout. The magnitude of elec entire system is thermally insulated. The stop, field in this region is cock is suddenly opened. The process is, fa) 5 NIC (by 7NC (a) adiabatic (b) isochoric, , (c) SNIC (d) zero (c) isobaric (d) isothermal

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., , — ee , 12. A cylinder contains hydrogen gas at pressure, , of 249 kPa and temperature 27°C., Its density is (R =8.33 mol! K7'y, (a) 0.2 kgim? (b) 0.1 kg/m?, (c) 0.02 kg/m? (d) 0.5 kgim®, . When a uranium isotope 33°U is bombarded, with a neutron, it generates $?Kr, three, neutrons and, (a) Zr () kr, , () kr (ad) YBa, , . A charged particle having drift velocity of, 75x 107 ms” in an electric field of, , 3107 ¥m"!, has a mobility (in m?V71s~) of, (a) 2.5 x 10° (o)25x 10%, , (c) 2.25 x10" (0) 2.25 « 10", , Taking into account of the significant figures,, what is the value of 9.99 m = 0.0099 m?, , (a) 9.98 m {b) 9.980 m, , (c) 99m {d) 9.9801 m, , An iron rod of susceptibility 599 is subjected, , to a magnetising field of 1200 A m7!. The, permeability of the material of the rod is, , (Take, 19 =42%107 Tm A”), (a)60x10%TmA* = (0) 2.4n x 10° TMA, (c)2.4n x107TmA™ (d)2.4n x10 TmAt, A spherical conductor of radius 10 cm has a, charge of 3.2 x 107 C distributed uniformly., , What is the magnitude of electric field at a, point 15 cm from the centre of the sphere?, , ( J =9 10" Nm?/C?), 4, , , , (a) 1.28 « 10° N/C (b) 1.28 x 10° NIC, (c) 1.28 « 10" N/C (d) 1.28 x 10* NIC, A series L-C-R circuit is connected to an AC, , voltage source, When L is removed from the, circuit, the phase difference between current, , and voltage is ;. If instead C is removed from, , the circuit, the phase difference is again 7, , between current and voltage. The power, factor of the circuit is, , (a) 0.5 (b) 1.0 {c) -10 {¢) zero, , 19. A capillary tube of radius ris immersed in, , water and water rises in it toa height kh. The, mass of the water in the capillary tube is 5 g., Another capillary tube of radius 2ris, immersed in water. The mass of water that, will rise in this tube is, (a) 50g, , (c) 20.09, , In Young’s double slit experiment, if the, separation between coherent sources is, halved and the distance of the screen from, the coherent sources is doubled, then the, fringe width becomes, , (a) half (b) four times, , (c) one-fourth (d) double, , (b) 100g, (259, , . For the logic circuit shown, the truth table is, , , , , , , , , , , , , , , , A, ¥, , 8, @ A BY, , 0 oo, , 0 1 i, , 1 o 4, , 1 1 1, 0) A BY, , oo fF, , o 1. 4, , 1 oOo 4, , 1 1 0, (c) A 6 7,, , 0 oO 1, , 0 1 o., , 1 oOo oOo., , 1 4 0, @® A BY, , tt, , o, co, , ~, =

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22. The color code of a resistance is given below, , , , , , Yollaw Violet Brown Gold, The values of resistance and tolerance, respectively, are, (a) 47 kQ, 10%, , 47, (c) 470.0. 5% (b) 4.7 KO, 5%, , {d) 470 kQ, 5%, , The capacitance of a parallel plate capacitor, with air as medium is 6 wF. With the, , introduction of a dielectric medium, the, capacitance becomes 30 uF, The permittivity, of the medium is (cy =8.85 x 10°" C2N“'m~2), (a) 177 «10°? GC’?, , (b) 044 210°! C2N- ny?, , (c) 500C°N-n?, , (d) 0.44 «10° C*N"n?, , 8, , 24. A ball is thrown vertically downward with a, velocity of 20 m/s from the top of a tower. It, hits the ground after some time with a velocity, of 80 m/s. The height of the tower is, (g =10 m/s?), , (a)340m —(b) 320m (c} 300m (d) 360m, , 25. A body weighs 72 N on the surface of the, earth. What is the gravitational force on it, at, a height equal to half of radius of the earth?, , (a)32N (b)30N— (c)24N —(d) 48N, , 26. Two particles of mass 5 kg and 10 kg, respectively are attached to the two ends of a, Tigid rod of length 1 m with negligible mass., The centre of mass of the system from the, 5 kg particle is nearly at a distance of, (a) 50cm (b) 67 cm, (c) 80. cm (¢) 33 cm, , 27. The increase in the width of the depletion, region in a p-n junction diode is due to, (a) reverse bias only a, {b) both forward bias and reverse bias, (c) increase in forward current, (d) forward bias only, , 28. Light of frequency 1.5 times the threshold, frequency is incident on a photosensitive, material. What will be the photoelectric, , 29., , 30., , 31., , 32,, , 34,, , 35., , Ae erm oe, , current if the frequency is halved and, intensity is doubled?, {a) Four times, , (c) Zero, , Assume that, light of wavelength 600 nm is, coming from a star. The limit of resolution of, telescope whose objective has a diameter of, 2mis, , (a) 183 x 107" rad, (c) G00 x 10°" rad, , A resistance wire connected in the left gap of, a metre bridge balances a 10.Q resistance in, the right gap at a point which divides the, bridge wire in the ratio 3 : 2. If the length of, the resistance wire is 1.5 m, then the length, of 1.2 of the resistance wire is, , (a) 10x10"' m (b)15*107'm, , (c)15 x10 m (d) 10 x10 m, , (b) One-fourth, (d) Doubled, , (b) 7.32 x 1077 rad, (d) 266 x 1077 rad, , Light with an average flux of 20 W/cm? falls, on a non-reflecting surface at normal, incidence having surface area 20 cm*. The, energy received by the surface during time, span of I min is, , (a) 12 «10° J (b) 24 «107 J, (c) 48 x10" J (d)10 x10" J, A ray is incident at an angle of incidence jon, , one surface of a small angle prism (with, , angle of prism A) and emerges normally from, the opposite surface. If the refractive index of, the material of the prism is p, then the angle, of incidence is nearly equal to, , 2A, a HA A, es (b) pA o> (4), , Qu, A 40 UF capacitor is connected to a 200 V,, , 50 Hz AC supply. The rms value of the, current in the circuit is, nearly, , (a)2.05A (b)25A (c) 25.1.4, Dimensions of stress are, , (a) (ML2T-?} (b) [ML°T-?, (c) (ML"T~*) (d) Ir), The Brewster's angle i, for an interface, should be, , (a) 30° <), < 45°, (c) i, = 90°, , (a) 174, , (b) 45° < /, < 90°, (d) 0° <i, < 30°

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~ gp -- eee, , 36, A wire of length L, area of cross-section A is, , 37,, , 39., , hanging from a fixed support. The length of, the wire changes to L, when mass M is, , suspended from its free end, The expression, for Young's modulus is, , (ay Math ~8) (oy Mal, AL, , MgL ok, , AG -5 em, , A short electric dipole has a dipole moment, of 16 x 10~° C-m, The electric potential due to, , the dipole at a point ata distance of 0.6 m, from the centre of the dipole, situated on a, line making an angle of 60° with the dipole, , axis is =” x 10° Nm?/c?, , Ty, (a) 200V—(b) 400V(c) zero.“ (d) SOV, In a guitar, two strings A and B made of, , same material are slightly out of tune and, produce beats of frequency 6 Hz. When, tension in B is slightly decreased, the beat, frequency increases to 7 Hz. If the frequency, of A is 530 Hz, the original frequency of B, will be, , (a)524Hz (6) 536Hz (c) 537H2 (d) 523 Hz, , An electron is accelerated from rest through, a potential difference of V volt, If the, de-Broglie wavelength of the electron is, 1.227 x 107? nm, the potential difference is, , (a)10?V (by) 10°? Ve (cp 10° VV (a) 10, , The solids which have the negative, temperature coefficient of resistance are, , (a) insulator only, , (6) semiconductors only, , (C) Insulators and semiconductors, (d) metals, , 41. The energy required to break one bond in, , DNA is 1072" J. This value (in eV) is nearly, (a) 0.6 (b) 0.06 {c) 0.006 (d)6, , 42. The quantities of heat required to raise the, , i ct heres of, , temperature of two solid copper sp, radii j and 1; (fj =1-55) through | K are in, the ratio 3, 9 _, (a (b) 3, , 6 2, (c) 3 (d) a, , 43. Which of the following graph represents the, , variation of resistivily (p) with temperature, for copper?, , p Pp, ia) tb), , p Pp, (c) (d) ae, , F T, , , , , , 44, For transistor action, which of the following, , statements is correct?, , (a) Base, emitter and collector ragions should have, same size., , (b) Both emitter junction as well as the collector, junction are forward biased., , (c) The base region must be very thin and lightly, doped,, , (¢) Base, emitter and collector fegions should have, same dopping concentrations, , 45. For which one of the following, Bohr model, , is not valid?, (a) Singly lonised helium ator (He* ), (b) Deuteron atom, , (c) Singly lonised neon atom (Ne*), (d) Hydrogen atom