BITSAT 2014 Paper

A spherically symmetric gravitational system of particles has a mass density ρ = {

ρ0	for‌r≤R
0	for‌r>R

where r0 is a constant. A test mass can undergo circular motion under the influence of the gravitational field of particles. Its speed V as a function of distance r (0 < r < ∞) from the centre of the system is represented by