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If radius of earth is R then the height ...

If radius of earth is R then the height ‘ h ’ at which value of ‘ g ’ becomes one-fourth is

A

`(R)/(4)`

B

`(3R)/(4)`

C

R

D

`(R)/(8)`

Text Solution

Verified by Experts

The correct Answer is:
C

`g.=g(1+(h)/(R))^(-2)=(g)/(4)=(g)/((1+(h)/(R))^(2))`
`implies 1+(h)/(R)=2implies(h)/(R)=1impliesh=R`.
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