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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 = sqrt(2gR)`
`:. (v_(1))/(v_(2)) = sqrt((g_(1))/(g_(2))xx (R_(1))/(R_(2))) = sqrt(g xx k) = (Kg)^(1//2)`
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