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The ratio of the acceleration due to gra...

The ratio of the acceleration due to gravity on two planets `P_(1) and P_(2)` is `k_(1)`. The ratio of their respective radii is `k_(2)`. The ratio of their respective escape velocities is:

A

`sqrt((k_(2))/(k_(1)))`

B

`sqrt(2k_(1)k_(2))`

C

`sqrt(k_(1)k_(2))`

D

`sqrt((k_(1))/(k_(2)))`

Text Solution

Verified by Experts

The correct Answer is:
C
`(v_(1))/(v_(2))=sqrt((2g_(1)R_(1))/(2g_(2)R_(2)))=sqrt(k_(1)k_(2))`
So the correct choice is (c ).
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