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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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a
Rn+12
b
Rn−12
c
Rn
d
Rn−22

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detailed solution

Correct option is A

mω2R∝1Rn⇒m4π2T2R∝1Rn⇒T2∝Rn+1∴T∝Rn+12

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