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The value of gravitational accelerationg...

The value of gravitational accelerationg at a height h above the earth's surface is 0ne forth the value of gravitational acceleration at surface ,then (R = radius of earth)

A

h=R

B

`=(R)/(2)`

C

`h=(R)/(3)`

D

`h=(R)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
`(gh)/(g)=((R)/(R+h))^(2)`
`(g)/(4g)=((R)/(R+h))^(2)`
`(1)/(2)=(R)/(R+h)`
`R+h=2R`
`h=2R-R`
h=R.
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