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.
Rn+12
Rn−22
Rn
Rn−12
A
Rn
B
Rn+12
C
Rn−22
D
Rn−12
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Solution
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F=GmMRn=mω2R→ω=√GMRn+1 hence time period is proportional to Rn+12
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