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Question

The escape velocity from a planet is vo. The escape velocity from another planet having twice the radius, but of same density will be -

A
0.5v0
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B
v0
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C
2v0
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D
4v0
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Solution

The correct option is C 2v0
We know, escape velocity,

ve=2GMR

ve=  2G×4πρR33R

ve=8GπρR23

veR

So, if radius is doubled keeping density same, the escape velocity gets doubled.

Therefore, the escape velocity from another planet will be 2vo.

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