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The distance between the sun and the earth is r and the earth takes time t to make one complete revolution around the sun. Assuming the orbit of the earth around the sun to be circular, the mass of the sun will be proportional to

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a

rT

b

r2T2

c

r3T2

d

r2T3

answer is C.

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Detailed Solution

we know that GmMr2=mv2r ∴M=v2r/GFurther, V=(2πr/T)∴ M=4π2r3T2G  or  M∝r3T2
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