Gravitation Question 159

Question: If acceleration due to gravity on the surface of a planet is two times that on surface of earth and its radius is double that of earth. Then escape velocity from the surface of that planet in comparison to earth will be [RPET 2001]

Options:

A) $ [2v_{e}_{{}}] $

B) $ [3v_{e}_{{}}] $

C) $ [4v_{e}_{{}}] $

D) None of these

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Answer:

Correct Answer: A

Solution:

$ [v=\sqrt{2gR}.] $ If acceleration due to gravity and radius of the planet, both are double that of earth then escape velocity will be two times. i.e. $ [v_{p}=2v_{e}] $



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