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}} $