Suppose the gravitational force varies inversely as the nth power of distance. Then the time period of a planet in circular orbit of radius R around the sun will be proportional to

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Rn+12

Rn−12

Rn−22

answer is A.

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Detailed Solution

mω2R∝1Rn⇒m4π2T2R∝1Rn⇒T2∝Rn+1∴T∝Rn+12

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