JEST (physics) old papers

Here I am looking for the JEST (physics) old papers, is there any buddy to provide me the same????????

[Kiran Chandar]

As per your request here I am sharing the JEST (physics) old paper:


1. Black-body 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 x-axis. 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 pÖ(m/2c)
(b) it performs simple harmonic motion with period 2 pÖ(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 q®0, lim




 +
q
q
sin
) sin 1 ln(
is
(a) ¥ (b) -¥ (c) 1 (d) 0


6. If P^ is the momentum operator, and s^ are the three Pauli spin matrices, the eigenvalues
of (s^.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) (I1-I2)v/D (b) (I1+I2)v/D (c) (I1-I2)v2/D2 (d) (I1+I2)v2/D2


8. An ideal gas of non-relativistic 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) Ö2 (b) 1 (c) 21/3 (d) 1/21/3


9. The rotational part of the Hamiltonian of a diatomic molecule is (1/2 µ1)(Lx
2+Ly
2)
+ (1/2 µ2) Lz
2 where µ1 and µ2 are moments of inertia. If µ1 = 2µ2, the three
lowest energy levels (in units of h2/4 µ2) 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