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The period of revolution of a planet abo...

The period of revolution of a planet about the sun is T. If a is radius of the circular orbit, then what is true?

A

`T alpha a`

B

`T alpha a^(2)`

C

`T^(2) alpha a^(3)`

D

`T^(3) alpha a^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
According to Kepler.s law,
"The squares of the periodic times of the planets are proportional to the cubes of the semi-major axis of their orbits." Hence,
`T^(2) alpha a^(3)`
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