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Question

A positive point charge +Q is fixed in space. A negative point charge -q of mass m revolves around a fixed charge in elliptical orbit. The fixed charge +Q is at one focus of the ellipse. The only force acting on negative charge is the electrostatic force due to positive charge. Then which of the following satement is true.


A

Linear momentum of negative point charge is conserved

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B

Angular momentum of negative point charge about fixed positive charge is conserved

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C

Total kinetic energy of negative point charge is conserved

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D

Electrostatic potential energy of system of both point charges is conserved

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Solution

The correct option is B

Angular momentum of negative point charge about fixed positive charge is conserved


This is similar to a planet revolving around it's star. It's not in uniform circular motion. So its magnitude of velocity and hence linear momentum and KE keep changing. Only angular momentum X & total energy are conserved but not kinetic energy


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