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Acceleration Due to Gravity question from JEE Main 2017

Q117JEE Main 2017Easy

Acceleration Due to Gravity

The variation of acceleration due to gravity $g$ with distance d from centre of the earth is best represented by (R = Earth’s radius):

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Answer: (a)

For $d < R$ : $g = \frac{GM}{R^3}d$ , linear in $d$ starting from 0.
For $d > R$ : $g = \frac{GM}{d^2}$ , decreasing as $1/d^2$ and never reaching zero.
So the answer is (a).

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