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1, The phase difference between displacement, , and acceleration of a particle in a simple, harmonic motion is, , 3, (a) = rad (b) 7 rad, , (d) mrad, , 2, Along solenoid of 50 cm length having, 100 turns carries a current of 2.5 A. The, magnetic field at the centre of solenoid is, , (Take, py =4nx107 TmaA*), , (a) 314x10°T (b) 6.28 x 10°° T, (c) 314 x10°° T (d) 6.28 x10 T, , (c) zero, , 3. Two bodies of mass 4 kg and 6 kg are tied to, the ends of a massless string. The string, passes over a pulley which is [frictionless, (see figure). The acceleration of the system, in terms of acceleration due to gravity g is, , 4kg, , , , , , , , 6kg, (c) gO, , , , {a) g/2 (b) gS (ag, , 4. The ratio of contributions made by the, electric field and magnetic field components,, to the intensity of an electromagnetic wave is, , (where, ¢ = speed of electromagnetic waves), (a) 1:1 {b) 1:¢ (1:0? = (de:1, , 5. Ina certain region of space with volume, 0,2 m°, the electric potential is found to be, 5 V throughout. The magnitude of electric, field in this region is, , (a O5 NC, {c) SNC, , (b) 1NIC, {d) zero, , 6. The average thermal energy for a, monoatomic gas is (where, k, is Boltzmann, constant and Tis absolute temperature.), , 3 5, (a) phat _ (0) 3 kyl, , 7 1, (ket (0) 5 kel, , 7. Find the torque about the origin when a, force of 3j N acts on the particle whose, , position vector is 2 k m., (a) 6] N-m (b) - 61 N-n, (c) 6k N-m (d) 61 N-m, , 8. The mean free path 2 for a gas, with, molecular diameter d and number density n, can be expressed as, , 1 1, , ©) Bnd? ) Brad?, 1 1, , © Bawa Bond, , 9. The energy equivalent of 0.5 g of a substance, is, , (a) 4510" J, (c) 05x10 J, , (b) 15 x10, (d) 45x10" J, , 10. A screw gauge has least count of 0.01 mm, and there are 50 divisions in its circular scale., The pitch of the screw gauge is, (a) 0.25 mm (0) 0.5mm, (c) 1.0 mm {d) 0.01 mm, , 11. Two cylinders A and B of equal capacity are, connected to each other via a stop cock. A, contains an ideal gas at standard temperature, and pressure, B is completely evacuated. The, entire system is thermally insulated. The stop, cock is suddenly opened. The process is, (a) adiabatic (b) isochoric, (c) isobaric {d) isothermal

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ott overeu rape eusu, , 12. A cylinder contains hydrogen gas at pressure 19, A capillary tube of radius ris immerved in, , of 249 kPa and temperature 27°C. water and water rises in it to a height h The, Its density is (R =8.33 mol“! K7'y mass of the water in the capillary tube is 5g, - Another capillary tube of radius 2r is, eee 3 (0) 0.1 kgim? immersed in water. The mass of water that, —— eOneRe will rise in this tube is, 13. When a uranium isotope 335U is bombarded (a) 5.09 (b) 10.09, with a neutron, it generates SeKr, three (c) 20.0g (dj) 259, neutrons and 20. in Young's double slit experiment, if the, (32 (kr) Kr) MBa separation between coherent sources is, halved and the distance of the screen from, 14, A charged particle having drift velocity of the coherent sources is doubled, then the, 75x10 ms"! in an electric field of fringe width becomes, 3107 vm"!, has a mobility (in m?V™!s™) of (a) half () four times, (a) 2.5 x 10° (b)25 x10 (c) one-fourth (d) double, (©) 2.25 x10" (0) 2.25 x 10% 21. For the logic circuit shown, the truth table is, , 15. 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) 9.9m (d) 9.9801 m, , 16. An iron rod of susceptibility 599 is subjected (a) A 8 Y, to a magnetising field of 1200 A m*!. The 0 0 0, permeability of the material of the rod is 0 1 |, (Take, py =42x10°7 Tm A*) : 7 ;, (a)80x10°TmA™ = (b) 2.4 x 10° Tm A a a, (c)2.4nx107TmA™ (d)2.4n «10% TmA™, , 17. A spherical conductor of radius 10 cm has a o) A 8 oy, charge of 3.2 10°” C distributed uniformly. Cs i i, What is the magnitude of electric field ata 0 1 1, point 15 cm from the centre of the sphere? 1 0 1, , a 1 0, , , , |, , ( : 9 10" Nm#/c, 4x,, , , , , , , , A, (a)1.28%10° NC) 1.28 x10" NIC oot, (c) 1.28 «107 NC (6) 1.28 « 10" NIC a ae, Bo, 18. A scries L-C-R circult fs connected to an AC 1 6 6S 0, voltage source. When L is removed from the a (na, circuit, the phase difference between current ee eee, and voltage is > If instead C is removed from @) A 8 Y, 0 0 0, the circuit, the phase difference is again : -0 1 0, between current and voltage. The power 10 0, { the tis {4A 1, factor 0 (0) 10 ()-10 = (@) zero, , (0s

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28. Ligh’, , 22. The color code of 4 resistance is given below, , , , , , Yellow Violet Brown Gold, The values of resistance and t, respectively, are ee:, (a) 47 kQ, 10%, , (c) 470 2, 5% p= plied, , (0) 470 kQ. 5%, , 23. The capacitance of a parallel plate capacitor, , with air as medium i:, , introduction of a = Fide A, capacitance becomes 30 uF. The permittivity, of the medium is (eg) =8.85 x 107 C2N“'m~?), (a) 177 x 107"? C*N-Wr?, , (b) 044x107? C2N“ ny?, , (c) 500 C*N“'m*, , (d) 0.44 x10" C*N“?, , 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 = (0) 320m = (c) 300m = (gd) 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 (o)30N ()24N (0) 4BN, , 26. Two particles of mass 5 kg and 10 kg, , respectively are attached to the two ends of a, rigid 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) 50. cm (b) 67 cm, (c) 80 em a", , f increase in the width of the depletion, 2 ews in a p-n junction diode is due to, reverse bias only, S both forward bias and reverse bias, (c) increase in forward current, (d) forward bias only, 1 of frequency 1.5 times the threshold, , js incident on a photosensitive, frail What will be the photoclectric, , 29., , 31., , 33., , 34,, , 35., , INDRA OViveU ray evevr, , current if the frequency is halved and, intensity is doubled?, , (a) Four times (b) One-fourth, {c) Zero (d) Doubled, , 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) 600 x 107” rad, , A resistance wire connected in the left gap of, a metre bridge balances a 10Q 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.Q of the resistance wire is, , (a) 10 x 10"' m (b) 15x10" m, , (c) 15x10 m (d) 10 x 10°? m, , 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 1 min is, , (a) 12x10" J, (c) 48 « 10" J, , (0) 7.32 x 107 rad, (d) 366 x 107 rad, , (b) 24 x 10° J, (d) 10 «10° 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 u, then the angle, of incidence is nearly equal to, , 2a rm A, (a) a (b) pA (c) ot (9) 2u, A 40 pF capacitor is connected to a 200 V,, , 50 Hz AC supply. The rms value of the, current in the circuit is, nearly, , (2)205A ()25A (c)251A (A)1.7A, , Dimensions of stress are, (a) (M2T-?) (b) (ML°T=?}, (c) (ML“"T-2y (¢) (MLT~*), , The Brewster's angle i, for an interface, should be, (a) 30° <i, < 45°, , 45° <i, < 9, (©)i, =90° (b) b, , (d) O° <i, < 30”

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36,, , 37., , 38., , 39., , 8, , A wire of length L, area of cross-section A is, 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, , , , Mg(l, -L) Mgt, ar (b) AL,, Mgt Mal, (c) AL -b {d) AL, A short electric dipole has a dipole moment, , of 16 x 10~° C-m. The electric potential due to, , the dipole at a point at a 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 =9x10° m?c?}, , , , TE, , (a)200¥ = (b) 400V_ ss (c) zero - (d) 50V, , 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 (0) 536Hz (c)537Hz (d) 23Hz, , 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 10? nm, the potential difference is, {a)107V fb) 107V (cy 10° Vs (d) 10, , The solids which have the negative, temperature coefficient of resistance are, (a) insulator only, , (b) semiconductors only, , (c) insulators and semiconductors, (d) metals, , 41. The energy required to break one bond jp, DNA is 107° J. This value (in eV) js Nearly, (a) 0.6 (b) 0.06 = (C) 0.006 (aya,, , 42. The quantities of heat required to raise the, temperature of two solid copper spheres of, radii 7, and 7 ( =1.5 5) through 1K are jn, , the ratio, , 5, 2, , 3 5 27, , (0) 3 (c) 3 (d) 7, 43. Which of the following graph represents the, variation of resistivity (p) with temperature fi, , , , , , for copper?, P Pp, (a) (b), T T, Pp Pp, ©) . @) ra, rE r, , 44, For transistor action, which of the following, , statements is correct?, , (a) Base, emitter and collector regions 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., , (d) Base, emitter and collector regions should have, same dopping concentrations., , 45. For which one of the following, Bohr mode!, , is not valid?, , (a) Singly ionised helium atom (He* ), (b) Deuteron atom, , (c) Singly ionised neon atom (Ne* ), (d) Hydrogen atom