Gravitation Question 149

Question: The escape velocity of a planet having mass 6 times and radius 2 times as that of earth is [CPMT 1999; MP PET 2003; Pb. PET 2002]

Options:

A) $ [\sqrt{3},V_{e}] $

B) $ [3,V_{e}] $

C) $ [\sqrt{2},V_{e}] $

D) $ [2,V_{e}] $

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Answer:

Correct Answer: A

Solution:

$ [\frac{v_{p}}{v_{e}}=\sqrt{\frac{M_{p}}{M_{e}}\times \frac{R_{e}}{R_{p}}}=\sqrt{6\times \frac{1}{2}}=\sqrt{3}] $ $ [\therefore ,,,v_{p}=\sqrt{3,}v_{e}] $



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