What will be the acceleration due to gravi

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What will be the acceleration due to gravity at height $h$ if $h >> R$. Where $R$ is radius of earth and $g$ is acceleration due to gravity on the surface of earth

A

$\frac{g}{{{{\left( {1 + \frac{h}{R}} \right)}^2}}}$

B

$g\left( {1 - \frac{{2h}}{R}} \right)$

C

$\frac{g}{{{{\left( {1 - \frac{h}{R}} \right)}^2}}}$

D

$g\left( {1 - \frac{h}{R}} \right)$

What will be the acceleration due to gravity at height $h$ if $h >> R$. Where $R$ is radius of earth and $g$ is acceleration due to gravity on the surface of earth

$g' = g\,{\left( {\frac{R}{{R + h}}} \right)^2} = \frac{g}{{{{\left( {1 + \frac{h}{R}} \right)}^2}}}$