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}}] $



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