Gravitation

JEE Main level, single correct, medium

217 of 223

Question 217 of 223

A planet revolving in elliptical orbit has :
A. a constant velocity of revolution.

B. has the least velocity when it is nearest to the sun.

C. its areal velocity is directly proportional to its velocity.

D. areal velocity is inversely proportional to its velocity.

E. to follow a trajectory such that the areal velocity is constant.

Choose the correct answer from the options given below:

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Answer: (C) E only

As per Kepler’s second law “The areal velocity of a planet revolving around the sun in elliptical orbit remains constant which implies the angular momentum of a planet remains constant”. Hence (option E) is the correct option.

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