Physics

Physics

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 [2012] a.

V_Q > V_R > V_P

b.

V_R > V_Q > V_P

c.

V_R / V_P = 3

d.

V_P / V_Q = \frac{1}{2}

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