Imagine a light planet revolving around a very massive star in a circular orbit of radius r with a period of revolution T. If the gravitational force of attraction between the planet and the star is proportional to r5/2, then the square of the time period will be proportional to
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a
r3
b
r2
c
r2.5
d
r3.5
answer is D.
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Detailed Solution
mv2r=GMmr5/2∵F∝1r5/2or rω2=GMr5/2or r4π2T2=GMr5/2or T2∝r7/2 or T2∝r3.5