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Under the influence of the Coulomb field...

Under the influence of the Coulomb field of charge `+Q`, a charge `-q` is moving around it in an elliptical orbit. Find out the correct statement(s).

A

(a) The angular momentum of the charge `-q` is constant

B

(b) The linear momentum of the charge `-q` is constant

C

(c) The angular velocity of the charge `-q` is constant

D

(d) The linear speed of the charge `-q` is constant

Text Solution

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The correct Answer is:
A
The situation is shown in the figure which is similar to a planet revolving around sum. The distance of `-q` from `+Q` is changing, therefore, force between the charges will change. The speed of the charge `-q` will be greater when the charge is nearer to `+Q` as compared to when it is far. Therefore, the angular velocity of charge `-q` is also variable. The direction of the velocity changes continuously, therefore, linear momentum is also variable. The angular momentum of `(-q)` about Q is constant because the torque and `+Q` is zero.
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