At the corners of an equilateral triangle of side $l, t$ point charges are placed such that the only interact force between them is the electrostatic force. Then system of three charges will be

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in equilibrium if the charges have different magnitudes but all do not have the same sign.

never in equilibrium.

the relative separation between the charges can remain unchanged if the charges rotate about the centroid of the triangle with a definite angular velocity.

in equilibrium if the charges have the same magnitude but all do not have the same sign.

answer is C, D.

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Detailed Solution

Three point charges are placed at the corners of an equilateral triangle.

The system can never be equilibrium because the resultant of the forces on any one charge exerted by the other two charges can never be zero.

If the system rotates about the centroid of the triangle with a particular angular velocity , then the centrifugal force on any charge can cancel the resultant electric force acting on that charge .In this case the relative separation remains unchanged.

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