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
r23/2
c
r1+r23/2
d
r1−r23/2
answer is C.
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Detailed Solution
According of Kepler’s law T2∝a3a=semimajor axis=r1+r22T2∝r1+r223