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Question

Two equal negative charges q each are fixed at points (0,a) and (0,a) on y-axis. A positive charge Q is released from rest at the point (2a,0) on the x - axis. The charge Q will

A
execute simple harmonic motion about the origin
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B
move to the origin and remain at rest
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C
move to infinity
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D
execute oscillatory but not simple harmonic motion
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Solution

The correct option is D execute oscillatory but not simple harmonic motion
At the position shown particle has acceleration along negative x-axis accelerates until it reaches origin.
As the particle crosses origin net force is along positive x axis hence decelerates till its speed becomes zero and reverses direction of motion.
Hence particle oscilaates about origin.


Motion is simple harmonic only if Q is released from a point not very far from the origin on x - axis. Otherwise motion is periodic but not simple harmonic.

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