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Question

The escape velocity from the earth is 11 Km/s. The escape velocity from a planet having twice the radius and same density as that of the earth is (in Km/s)

A
22
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B
15.5
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C
11
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D
7.77
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Solution

The correct option is D 7.77

It is given that EscapevelocityVesp=2GMR

For earth escape velocity is

VE=2GMR

121=2GMR.......(1)

For any planet escape velocity is

VP=2GMR

Vp=2GM2R

Vp2=GMR.......(2)

Taking ratios of (1) and (2)

121Vp2=2GMRRGM

121Vp2=2

Vp2=60.5m/s

Vp=7.77m/s


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