JEE Advanced 2012 Paper 2 Physics Q19

Physics · Gravitation

Problem

Two spherical planets

P

and

Q

have the same uniform density

\rho

, masses

M_P

and

M_Q

, and surface areas

A

and

4A

, respectively. A spherical planet

R

also has uniform density

\rho

and its mass is

(M_P+M_Q)

. The escape velocities from the planets

P

Q

and

R

are

V_P

V_Q

and

V_R

, respectively. Then