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There are two planets. The ratio of radi...

There are two planets. The ratio of radius of two planets is `k` but ratio of acceleration due to gravity of both planets is g. What will be the ratio of their escape velocity ?

A

`(kg)^(1//2)`

B

`(kg)^(-1//2)`

C

`(kg)^2`

D

`(kg)^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`(v_(e_1))/(v_(e_2))=sqrt((2GM_1)/(R_1)xx(R_2)/(2GM_2))=sqrt(2g_1R_1xx1/(2g_2R_2))`
=`sqrt(gK)`
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