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1. The electromagnetic wave with shortest, wavelength among the following is :, {a) UV-rays (b) X-rays, (c) y-fays (d) microwaves, , 2, The angular speed of the wheel of a vehicle is, , increased from 360 rpm to 1200 rpm in 14 s, Jts angular acceleration is ‘, , (a) 2m rad/s? (b) 287 rad/s?, (c) 120m rad/s® (d) 1 rade?, , 3. What happens to the mass number and, , atomic number of an element when it emits, y-tadiation?, , * (a) Mass number decreases by four and atomic, , number decreases by two., , (b) Mass number and atomic number remain, , unchanged., , (c) Mass number remains unchanged, while atomic, , number decreases by one., , (d) Mass number increases by four and atomic, , number increases by two., , 4. The angle of 1’ (minute of arc) in radian is, nearly equal to, {a) 2.91 x 10™ rad, (c) 480 x 10 rad, , (b) 485 x 107 rad, (dj 175 x 10° rad, , 5. The magnetic flux linked with a coil (in Wb), is given by the equation’) = 5 +3r+16, The magnitude of induced emf in the coil at, the fourth second will be, (a) 33 V (b) 4aV, (c) 108 V (a) 10V, , 6. The electric field at a point on the equatorial ’, , plane at a distance r from the centre ofa, dipole having dipole moment P is given by, , (r >> separation of two charges forming the, dipole, €y = permittivity of free space), , , , , , , , (aE = pee 2P, ane, " 4nuyr, Pp Pp, (GE=- : a, » Amey r " Antyr, , A plano-convex lens of unknown material, and unknown focal length is given. With the, help of a spherometer we can measure the, , {a) focal length of the lens, (b) radius of curvature of tne curved surface, , (c) aperture of the lens, (d) refractive index af the material ', , A light bulb and an inductor coil are, connected to AC ac source through a key as, shown in the figure below. The key is closed, and after sometime an iron rod is inserted, into the interior of the inductor. The glow of, , the light bulb, , Tal, , {a) decreases, , (b) remains unchanged, {c) will fluctuate, , (d) increases, , The efficiency of a Carnot engine depends, upon, , (a) the temperature of the sink only, , {b) the temperatures of the source and sink, , (c) the volume of the cylinder of the engine, , (d) the temperature of the source only

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10, Out of the following which one is a forward, biased diode?, , ta) Dp} — 29, wo) 24-4 59, , (oc) @Y->4—www0w——. +29, (6) 24-0 -3, , 11. For the circuit shown in the figure, the, current | will be, , avy, , a i 19, , 1 40, ANN, (Oy) 1A, (d)O.5A, , 12, Two coherent sources of light interfere and, produce fringe pattern or a screen. For, central maximum, the phase difference, between the two waves will be, (a) zero (b) =, (c) Sn/2 (dG) x/2, , 13. The total energy of an electron in the nth, stationary orbit of the hydrogen atom can be, , , , , , , , (a) 0.754, (c) 1.5A, , , , obtained by, (a) E, = 2 ev (b) E, = - ev, , ()E, =- Fev, , Identify the function which represents a, _ periodic motion., , (ae, _ (c) sina + coset, , (d) E, =- 136 xn? eV, , , , , , , , , , , , , (b) log, (ux), (de, , The de-Broglic wavelength of an electron, moving with kinetic energy of 144 eV is, nearly, , “(a) 102 x 10° nm, ic) 102 « 1078 nm, , (b) 102 x 10™ nm (d) 102 x 10°? nm, , 16. The mean free path / for a gas molecule, depends upon diameter, d of the molecule as, , 1, a)l= (b)led, , ()ixa? (djl 1, a, , 17. A n-p-n transistor is connected in common, emitter configuration (see figure) in which, collector valtage drop across load resistance, , (800 2) connected to the collector circuit is 0,8, Y. The collector current is, , , , B00, Ag: le, ev, ‘a, (a) 2mA (b) 0.1 mA, (c) 1mA {d) 0.2 mA, , 18. A person sitting in the ground floor of a, building notices through the window of, height 1.5 m, a ball dropped from the roof of, the building crosses the window in 0.1 s., What is the velocity of the ball when it is at, the topmost point of the window?, , (g =10 m/s?), (a) 15.5 m/s, , (b) 14.5 m/s, (c) 4.5 m/s, , (d) 20 ms, 19. The magnetic field in a plane electromagnetic, wave is given by, By =2 x 107 sin(t x 10>x +32 x 10''NT, Calculate the wavelength,, (a) nx 107m, (0)2 x 10% m, (c)}2 x 10% m, (¢) x10 m, , 20. The length of the string of a musical, instrument is 90 cm and has a fundamental, frequency of 120 Hz. Where should it be, pressed to produce fundamental frequency ©, , 180 Hz?, {a) 75cm (b) 60 cm, (c) 45m (d) 80 cm

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21, The acceleration of an e!, , mutual attraction betwe, en the electron and, proton when they are 1.6 4 apart is, ‘, , (m.=9 x10™" kg, e=16 x 107"c), 1, , take., , ( i 4Tey, , (a) 10% m/s?, (c) 10” m/s?, , lectron due to the, , , , =9x 10"nm'c~, , (b) 1073 mys?, , (d) 10° mys?, , 22. The wave nature of electrons was, experimentally verified by, (a) de-Broglie (b) Hertz, (c) Einstein (d) Davisson and Germer, , 23. Two solid conductors are made up of same, material, have same length and same resistance., One of them has a circular cross-section of, area A, and the other one has a square, cross-section of area A,. The ratio A, / Az is, (1.5 {b) 1, (0.8 {d)2, , 24. For the circuit given below, the Kirchhoff's, loop rule for the loop BCDEB is given by the, equation, , , , , , , , , , ah B Re #6, R al, a = Fe, . ——), F E E, , (a) —i.Rp + Ey Ey + igh, =0, (b) ipRy + Ey - Ey -ig%, =9, *(0) igRy + Ep + Eg + jay =0, (d) -igR, + E + Ey + igR, =0, , 25. Three stars 4,B,C have surface temperatures, T4.Tq:Teo respectively. Star A appears bluish,, start B appears reddish and star C yellowish., Hence, , (@)% >Ty > Te, (¢) Tj > Ty > Ts, , (0) Te >%>T, dt >% >Te, , 26. A liquid does not wet the solid surface if, , angle of contact is, , (a) equal to 45°, (c) greater than 90°, , (b) equal to 60°, (d) zero, , 27, A point mass m is moved in a vertical circle of, radius r with the help of a string. The velocity, of the mass is 7 gr at the lowest point. The, tension in the string at the lowest point is, (a) 6 ng (b) 7 mg, (c) Bmg (a) 1 mg, , 28. An object is placed on the principal axis of a, concave mitror ata distance of 1,5 f (f is the, focal length). The image will be at, (a) -3f (b) 1.5f, (c) -157 (@ 3s, , 29, The hall-life of a radioactive sample, undergoing a-decay is 14 x10!” s, If the, number of nuclei in the sample is 20 x 107!., The activity of the sample is nearly, (a) 10°Bq (b) 10°Bq, (c) 10°Bq (d) 10°8q, , 30. If the critical angle for total internal, reflection from a medium to vacuum is 45°,, then velocity of light in the medium is, , (a) 15 x 10° m/s, , 0) x10" mis, , (c) v2 x 10° mis, (d) 3x 10° m/s ., , 31. A wheel with 20 metallic spokes cach 1 m, long is rotated with a speed of 120 rpm.in a, plane perpendicular to a magnetic field of, 0.4 G, The induced emf between the axle and, , rim of the wheel will be (1 G = 107 T), (a)2.51x 104 V, , (b)2.51x 10% V, (c) 40x 10% y, (d) 251V, 32, An ideal gas equation can be written as, = ORT, My, , where, p and M, are respectively,, (a) mass density, mass of the gas, (b) number density, molar mass, , (c) mass density, motar mass, , (d) number density, mass of the gas

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33. The variation of electrostatic potential with, radial distance r from the centre of a, positively charged metallic thin shell of, radius R is given by the graph, , v Vv, , (a), , , , (c), , , , , , > 7, , 34, Which of the following gate is called, universal gate?, , (a) OR gate (b) AND gate, (c) NAND gate (cd) NOT gate, , 35. The p-V diagram for an ideal gas in a piston, cylinder assembly undergoing a, thermodynamic process is shown in the, figure. The process is, , er is constructed using a liquig, % ty 2 760 kg/m?). What would be the, height of the liquid column, when a mer, uy, barometer reads 76cm?, (Density of mercury = 13600 kg/m’), (a) 196m (b) 13.6 m, (c) 136m (d) 0.76m, , ire of length L metre carrying a currery «,, mes bent in the form of a circle, jt, :, , J ampere is oe, , magnetic moment Is, , (a) 112 /4Am? (b) (nl? /4Am?, (c) 212 /nAm? (od) (2 /4nam?, , itor having, 40. A parallel plate capacitor, sitesiniolel area Aand separation d has, , air in between the plates. Now, an insulating, slab of same area but thickness d/2 is, inserted between the plates as shown in, figure having dielectric constant K(=4), The, ratio of new capacitance to its original, capacitance will be, , ~—a—, , Mi, , Ani, "| age Final, state, Ue, v . d/2, a) adiabatic (0) isochoric (2:1 (b) 8:5, o isobaric (0) isothermal ()6:5 (d) 4:4, 36. The power of a biconvex lens is 10D andthe 41- What is the depth at which the value of, radius of curvature of each surface is 10 cm, acceleration due to gravity becomes 1/1 times, Then, the refractive index of the material of the value that the surface of earth? (Radius, the lens is / is =R), s w2 mene (b) Rin-t}fo, " 3 3 (€) Raiin—1) (d) Rin, 2 @2, 5 2 42. Time intervals measured by a clock give !®, , 37. An intrinsic semiconductor is converted into, , n-type extrinsic semiconductor by doping it, , with 8, , {b) aluminium, 5 a (d) germanium, c), , following readings, 1.25 s, 1.245, 1.275, 1.21 sand 1.285., What is the percentage relative error of the, observations?, (a) 2%, , (b) 4%, ©) 16% (d) 1.6%

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43. Three identical ; TT 45. Calculate the acceleration of the block and, spheres, cach of mass Mu trolly system shown in the figure, ‘The, M, are placed at the coefficient of kinetic friction between the, corners of a right trolly and the surface is 0.05. (g =10 m/s’,, , ngle triangle with *, ang B mass of the string is negligible and no other, , am, , |, | |, , the mutually M ; rie, pendicular sides | sm friction exists)., equa] to 2 m (see t Troly, —, , , , figure). Taking the point of intersection of 10 kg, , the two mutually perpendicular sides as the ao A, origin, find the position vector of centre of ene, , mass. |, , (aati + j) ti + i) 24.7 4a 4 2kg, st +4) atl +)) Block, ; (a) 1.25 mys? {bo} 1.50 m/s®, 44, The equivalent {c} 1.86 mis? {a} 1.00 mis?, resistance between A 42 én, and B for the mesh :, shown in the figure is ac 62 ba, (a)72Q, (B) 162, (c) 3082, , (d) 482