Gravitation Question 177
Question: There are two planets. The ratio of radius of the two planets is K but ratio of acceleration due to gravity of both planets is g. What will be the ratio of their escape velocity[BHU 2005]
Options:
A) $ [{{(Kg)}^{1/2}}] $
B) $ [{{(Kg)}^{-1/2}}] $
C) $ [{{(Kg)}^{2}}] $
D) $ [{{(Kg)}^{-2}}] $
Show Answer
Answer:
Correct Answer: A
Solution:
$ [v=\sqrt{2gR}] $ $ [\frac{v_{1}}{v_{2}}=\sqrt{\frac{g_{1}}{g_{2}}\times \frac{R_{1}}{R_{2}}}=\sqrt{g\times K}] $ = $ [{{(Kg)}^{1/2}}] $
