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Q.

Suppose the gravitational force varies inversely as the 4th power of the distance. If a satellite describe a circular orbit of radius R under the influence of this force, then the time period T of the orbit is proportional to :

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a

R3/2

b

R5/2

c

R2

d

R7/2

answer is B.

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Detailed Solution

F∝1R4    ⇒mv2R∝1R4⇒v2∝1R3T=2πRv so T2∝R2v2So, T2∝R21R3⇒T2∝R5 ⇒ T∝R5/2

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