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

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Solution:

By symmetry of problem, the components of force on due to charges at and along -axis will cancel each other while along -axis will add up and will be along Under the action of this force, charge will move towards . If at any time charge is at a distance from
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i.e.,
As the restoring force is not linear, motion will be oscillatory (with amplitude ) but not simple harmonic.