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

a) r1 3 /2
b) r2 3 /2
c) (r1 + r2)3/2
d) (r1 - r2)3/2
Kindly answer sir/mam.

According to kepler's law, T2 is directly proportional to cube of semi-major axis of the elliptical orbit. Now, semi major axis will be r1+r22T2r1+r223Tr1+r232Hence, the correct option is c.

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