Q.
The escape velocity from the Earth's surface is v. The escape velocity from the surface of another planet having a radius, four times that of Earth and same mass density is:
A) 2v
B) 3v
C) 4v
D) v
Explanation
[Solution] $v_e = \sqrt{2GM/R} \propto R\sqrt{\rho}$; with the same density and 4 times the radius, $v_e$ becomes 4v. Answer (3).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.