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Re: JEST Last Year Question Papers with Solutions
For your reference, here I am giving you Last Year Question Papers of Joint Entrance Screening Test with Solutions, JEST Last Year Question Papers with Solutions Physics 1. Blackbody radiation, at temperature Ti fills a volume V. The system expands adiabatically and reversibly to a volume 8V. The final temperature Tf = xTi, where the factor x is equal to (a) 0.5 (b) 2.8 (c) 0.25 (d) 1 2. A particle of mass m, constrained to move along the xaxis. The potential energy is given by, V(x)=a + bx +cx2, where a, b and c are positive constants. If the particle is disturbed slightly from its equilibrium position, then it follows that (a) it performs simple harmonic motion with period 2 (m/2c) (b) it performs simple harmonic motion with period 2 (ma/2b2) (c) it moves with constant velocity (d) it moves with constant acceleration 3. Consider a square ABCD, of side a, with charges +q, q, +q, q placed at the vertices, A, B, C, D respectively in a clockwise manner. The electrostatic potential at some point located at distances r (where r >> a) is proportional to (a) a constant (b) 1/r (c) 1/r2 (d) 1/r3 4. The general solution of dy/dx – y = 2ex is (C is an arbitrary constant) (a) e2x+Cex (b) 2xex+Cex (c) 2xex+C (d) ex2+C 5. As 0, lim _ _ _ __ _ sin ) sin 1 ln( is (a) (b) (c) 1 (d) 0 6. If P^ is the momentum operator, and ^ are the three Pauli spin matrices, the eigenvalues of (^.P^) are (a) px and pz (b) px ipy (c) p (d) (px + py +pz) 7. Two parallel infinitely long wires separated by a distance D carry steady currents I1 and I2 (I1 > I2) flowing in the same direction. A positive point charge moves between the wires parallel to the currents with a speed v at a distance D/2 from either wire. The magnitude of an electric field that must be turned on to maintain the trajectory of the particle is proportional to (a) (I1I2)v/D (b) (I1+I2)v/D (c) (I1I2)v2/D2 (d) (I1+I2)v2/D2 8. An ideal gas of nonrelativistic fermions in three dimensions is at a temperature of 0 K. When both the mass of the particles and the number density are doubled, the energy per particle is multiplied by a factor, (a) 2 (b) 1 (c) 21/3 (d) 1/21/3 9. The rotational part of the Hamiltonian of a diatomic molecule is (1/2 1)(Lx 2+Ly 2) + (1/2 2) Lz 2 where 1 and 2 are moments of inertia. If 1 = 22, the three lowest energy levels (in units of h2/4 2) are given by (a) 0, 2, 3 (b) 0, 1, 2 (c) 1, 2, 3 (d) 0, 2, 4 10. A particle of mass 1 gm starts from rest and moves under the action of a force of 30 Newtons defined in the rest frame. It will reach 99% the velocity of light in time (a) 9.9 x 103 sec (b) 7 x 104 sec (c) 0.999 sec (d) 0.7 sec 11. Radio telescopes are better than optical telescopes because they can detect faint galaxies which no optical telescope can they can work even in cloudy conditions they can work during the day and night All of the above 12. Light Emitting Diodes (LED) is used in fancy electronic devices such as toys emit Xrays ultraviolet light visible light radio waves 13. Out of the following pairs, which one does not have identical dimension? Moment of inertia and moment of a force Work and Torque Angular momentum and Planck's constant Impulse and Momentum 14. Mercury is commonly used as a thermometric fluid rather than water because specific heat of mercury is less than water specific heat of mercury is more than water mercury has greater visibility than water density of mercury is more than the water 15. Optical fibre works on the principle of refraction total internal reflection scattering interference 16. Light from the star, Alpha Centauri, which is nearest to the earth after the sun, reaches the earth in 4.2 seconds 42 seconds 4.2 years 42 years 17. Supersonic plane fly with the speed less than the speed of sound of sound greater than the speed of sound of light 18. Mach number is used in connection with the speed of sound aircraft spacecraft ships 19. On a stationary sail boat, air is blown from a fan attached to the boat. The boat moves in opposite direction in which the air is blown does not move moves in the same direction in which air blows spins around 20. Rainbow is due to absorption of sunlight in minute water droplets diffusion of sunlight through water droplets ionisation of water deposits refraction and reflection of sunlight by water droplets
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