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Updated on : 2022-09-05

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Correct option is C)

The value of acceleration due to gravity changes with height (ie, altitude). If $g_{′}$ is the acceleration due to gravity at a point, at height $h$ above the surface of earth, then

$g_{′}=(R+h)_{2}GM $

but, $g=R_{2}GM $

$∴gg_{′} =(R+h)_{2}GM ×GMR_{2} =(R+h)_{2}R_{2} $

Here, $g_{′}=(R+h)_{2}GM =(R+3R)_{2}GM $

$=(4R)_{2}GM =16R_{2}GM $

$=16ge $

Note: At a depth, value of $g$ also decreases. Its value at centre of earth is zero, value of acceleration due to gravity is maximum at the earth's surface. Also value of acceleration due to gravity increases as we go from equator to the pole.

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