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  4. Which of the following graphs correctly represents the variation of g on the Earth?

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Q. Which of the following graphs correctly represents the variation of $g$ on the Earth?

NTA AbhyasNTA Abhyas 2020Gravitation

Solution:

The acceleration due to gravity on the surface of Earth,
$g=\frac{G M}{R^{2}}$

At a height $h$ above the surface,
$g=\frac{G M}{\left(R + h\right)^{2} \, }=\frac{G M}{r^{2}}$

At a depth below the surface, $g$