Q.

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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a

T2∝R3

b

T∝R2

c

T2∝R

d

T∝R

answer is B.

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Detailed Solution

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