RRB Technician 2014 Ques 18

Question: The escape velocity of a sphere of mass m from Earth having mass M and radius R is given by

Options:

A) $ \sqrt{\frac{2GM}{R}} $

B) $ \sqrt{\frac{GM}{R}} $

C) $ \sqrt{\frac{2GmM}{R}} $

D) $ \sqrt{\frac{GM}{R}} $

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ \frac{1}{2}mv^{2}-\frac{GmM}{R}=0 $ Hence, $ v=\sqrt{\frac{2GM}{R}} $