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Two planets A and B have the same materi...

Two planets `A` and `B` have the same material density. If the radius of `A` is twice that of `B`, then the ratio of the escape velocity `(v_(A))/(v_(B))` is

A

`2`

B

`sqrt(2)`

C

`1//sqrt(2)`

D

`1//2`

Text Solution

Verified by Experts

The correct Answer is:
a
`V_(e)=sqrt((2GM)/R)impliesV_(e)=sqrt((2G.4/3piR^(3)rho)/R)`
`V_(e)=sqrt(8Gpirho)R`
`(V_(A))/(V_(B))=(R_(A))/(R_(B))implies(V_(A))/(V_(B))=2/1`
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