NEET | 2016GravitationHard

Question

The ratio of escape velocity at earth (υe) to the escape velocity at a planet (υp) whose radius and mean density are twice as that of earth is:

Options

A.

1 : 2

B.

1 : 22

C.

1 : 4

D.

1 : 2

Solution

VeVp=2GMeRe2GMpRp=MRMPRpRe=Pe43πRe3RpPe43πRp3Re
VeVp=PeRe2PpRp2=12 22=122

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