Question

Two spherical planets \( P \) and \( Q \) have the same uniform density \( \rho \), and masses \( M_P \) and \( M_Q \), and surface areas \( A \) and \( 4A \) respectively. Another spherical planet \( R \) also has the same uniform density \( \rho \), and its mass is \( M_P + M_Q \). The escape velocities from these planets is

• A. \( V_R > V_Q > V_P \)
• B. \( V_R < V_Q < V_P \)
• C. \( V_R = V_Q > V_P \)
• D. \( V_R > V_Q = V_P \)

Hint:

For planets of same density, escape velocity is directly proportional to radius.

Answer 1

The Correct Option is A