KVPY Government Jobs Exams

certain planet completes one rotation about its axis in time T. The weight of an object placed at the equator
on the planet's surface is a fraction f (f is close to unity) of its weight recorded at a latitude of 60º. The
density of the planet (assumed to be a uniform perfect sphere is given by-

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KVPY Other Question

Suppose m, n are positive integers such that 6^m + 2^m+n 3^w + 2^n = 332. The value of the expression
m^2 + mn + n^2 is- Three equal charges +q are placed at the three vertices of an equilateral triangle centered at the origin. They
are held in equilibrium by a restoring force of magnitude F(r) = kr directed towards the origin, where k is a
constant. What is the distance of the three charges from the origin ?