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Question 8

Which graph correctly presents the variation of acceleration due to gravity with the distance from the centre of the earth (radius of the earth = $$R_E$$)?

Solution

Inside the Earth ($$r \le R_E$$): $$g = \frac{GM_E}{R_E^3}r \implies g \propto r$$

Outside the Earth ($$r \ge R_E$$): $$g = \frac{GM_E}{r^2} \implies g \propto \frac{1}{r^2}$$

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