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The ratio of escape velocity at earth (v...

The ratio of escape velocity at earth `(v_(e))` to the escape velocity at a planet `(v_(y))` whose radius and density are twice

A

`1:2`

B

`1:2sqrt2`

C

`1:4`

D

`1:sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
B
`v_e=Rsqrt(8/2piGp)`
`rArr(V_e)/(V_p)=R/(2R)sqrt((8/3piGp)/(8/3piGp))=1/(2sqrt2)`
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