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v(e) and v(p) denotes the escape velocit...

`v_(e)` and `v_(p)` denotes the escape velocity from the earth and another planet having twice the radius and the same mean density as the earth. Then

A

`upsilon_e=upsilon_p//2`

B

`upsilon_e=upsilon_p`

C

`upsilon_e=2upsilon_p`

D

`upsilon_e=(upsilon_p)/4`

Text Solution

Verified by Experts

The correct Answer is:
A
Escape velocity `v_e=sqrt((2GM)/R)`
`=sqrt((2G)/Rxx(4/3piR^3))rho=sqrt(8pi(Grho)/3).R`
`v_epropR`
`implies v_e/v_p=R/(2R)=1/2`
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