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If the radius of a planet is R and its d...

If the radius of a planet is R and its density is `rho` , the escape velocity from its surface will be

A

`V_(e)proprhoR`

B

`V_(e)propRsqrt(rho)`

C

`V_(e)propsqrt((rho)/(R))`

D

`V_(e)prop(1)/(sqrt(rhoR))`

Text Solution

Verified by Experts

The correct Answer is:
B
`V_(e)=sqrt(2Rg)`
`g=(4)/(3)piRrhoG`
`V_(c)=sqrt(2Rxx(4)/(3)piR rhoG)`
`V_(e)propRsqrt(rho)`
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