Gravitation Question 157
Question: If the radius of a planet is R and its density is $ [\rho ] $ , the escape velocity from its surface will be[MP PMT 2001]
Options:
A) $ [v_{e}\propto \rho R] $
B) $ [v_{e}\propto \sqrt{\rho }R] $
C) $ [v_{e}\propto \frac{\sqrt{\rho }}{R}] $
D) $ [v_{e}\propto \frac{1}{\sqrt{\rho }R}] $
Show Answer
Answer:
Correct Answer: B
Solution:
$ [v_{e}=R\sqrt{\frac{8}{3}G\pi \rho }] $ \ $ [v_{e}\propto R\sqrt{\rho }] $
