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Q.

A planet of mass m moves around the sun of mass M in an elliptical orbit. The maximum and minimum distance of the planet from the sun are r1 and r2 , respectively. The time period of the planet is proportional to

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a

r13/2

b

(r1 + r2)3/2

c

(r1 - r2)3/2

d

r23/2

answer is B.

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Detailed Solution

Semi-major axis,  a = r1 + r22Now,  T2 ∝ a3⇒  T∝a3/2∝r1+r223/2⇒T∝r1+r23/2
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