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A planet of mass m moves around the sun ...

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 `r_(1) and r_(2)` respectively. The time period of the planet is proportional to

A

`sqrt((2GMr_(1))/((r_(1)+r_(2))r_(1)))`

B

`sqrt((2GMr_(1))/((r_(1)+r_(2))r_(2)))`

C

`sqrt((2GMr_(2))/((r_(1)+r_(2))r_(1)))`

D

`sqrt((2GM)/(r_(1)+r_(2))`

Text Solution

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The correct Answer is:
A
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