KVPY Government Jobs Exams

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

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KVPY Other Question
arithmetic mean and the geometric mean of two distinct 2-digit numbers x and y are two integers one of
which can be obtained by reversing the digits of the other (in base 10 representation). Then x + y equals-
(A) 82 (B) 116 (C) 130 (D) 148 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