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Orbital Velocity

Question

A planet of mass $m$ is moving around a star of mass $M$ and radius $R$ in a circular orbit of radius $r$ . The star abruptly shrinks to half its radius without any loss of mass. What change will be there in the orbit of the planet ?
The planet will escape from the star
The radius of the orbit will increase
The radius of the orbit will decrease
The radius of the orbit will not change

A

The radius of the orbit will increase

B

The radius of the orbit will decrease

C

The radius of the orbit will not change

D

The planet will escape from the star

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Solution

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Answer is D.

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