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If $g \propto \frac{1}{R^{3}}$ (instead of $\frac{1}{R^{2}}),$ then the relation between time period of a satellite near earth's surface and radius R will be

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T2∝R3

T∝R2

T2∝R

T∝R

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detailed solution

Correct option is B

Gravitational force provides the required centripetal forcemω2R=GMmR3⇒4π2T2=GMR4⇒T2∝R4⇒T∝R2

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If g∝1R3 (instead of 1R2), then the relation between time period of a satellite near earth's surface and radius R will be

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If $g \propto \frac{1}{R^{3}}$ (instead of $\frac{1}{R^{2}}),$ then the relation between time period of a satellite near earth's surface and radius R will be