Home Physics Electrostatics Potential & Capacitance Mix Two equal negative charge – q are fixed at t…
Physics Electrostatics Potential & Capacitance Mix MCQ (Single Correct)

Two equal negative charge – q are fixed at the fixed points and on the Y-axis. A positive charge Q is released from rest at the point on the X-axis. The charge Q will

A
Execute simple harmonic motion about the origin
B
Move to the origin and remain at rest
C
Move to infinity
D
Execute oscillatory but not simple harmonic motion

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Verified by Experts
The correct answer is:
D

By symmetry of problem the components of force on Q due to charges at A and B along y-axis will cancel each other while along x-axis will add up and will be along CO. Under the action of this force charge Q will move towards O. If at any time charge Q is at a distance x from O. Net force on charge Q

i.e.,

As the restoring force F net is not linear, motion will be oscillatory (with amplitude 2a) but not simple harmonic.

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