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The earth is assumed to be a sphere of r...

The earth is assumed to be a sphere of raduis `R`. A platform is arranged at a height `R` from the surface of the `fv_(e)`, where `v_(e)` is its escape velocity from the surface of the earth. The value of `f` is

A

`1/3`

B

`1/2`

C

`sqrt2`

D

`1/sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
D
`1/2mv^2=(GMm)/(2R)`
`v=sqrt((GM)/R)=(V_e)/(sqrt2)`
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