If radius of earth is R then the height ls

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

A

$\frac{R}{4}$

B

$\frac{{3R}}{4}$

C

$R$

D

$\frac{R}{8}$

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

$g' = g\,{\left( {\frac{R}{{R + h}}} \right)^2} = \frac{g}{4}$. 

By solving $h = R$