KVPY Government Jobs Exams

One mole of an ideal gas at initial temperature T, undergoes a quasi-static process during which the volume
V is doubled. During the process the internal energy U obeys the equation U = aV3, where a is a constant.
The work done during this process is-
(A) 3RT / 2 (B) 5RT / 2 (C) 5RT / 3 (D) 7RT / 3

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KVPY Other Question

The surface of a planet is found to be uniformly charged. When a particle of mass m and no charge is thrown
at an angle from the surface of the planet, it has a parabolic trajectory as in projectile motion with horizontal
range L. A particle of mass m and charge q, with the same initial conditions has a range L/2. The range of
particle of mass m and charge 2q with the same initial conditions is-
(A) L (B) L/2 (C) L/3 (D) L/4 At a distance l from a uniformly charged long wire, a charged particle is thrown radially outward with a velocity u in the direction perpendicular to the wire. When the particle reaches a distance 2l from the wire
its speed is found to be sqrt(2) u . The magnitude of the velocity, when it is a distance 4l away from the wire, is
(ignore gravity)