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Question: A planet orbits the sun in an elliptical path as shown in the figure. Let and be speed of the planet...

A planet orbits the sun in an elliptical path as shown in the figure. Let and be speed of the planet when at perihelion and aphelion respectively. Which of the following relations is correct?

A

B

C

D

Answer

Explanation

Solution

Angular momentum of planet at P,

Where is the mass of the planet.

Angular momentum of planet at A,

According to the law of conservation of angular momentum

or