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Question

A ring of radius R is carrying uniformly distributed charge +Q. A test charge q0 is placed on its axis at a distance 2R from the centre and released. The motion of the particle on the axis will be :

A
periodic
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B
non periodic
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C
simple haramonic
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D
random
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Solution

The correct option is A periodic

Since the force is attractive, the particle will carryout a periodic motion with ring's centre as its mean position.

and,

F=kQqx(x2+R2)32 is not of the form F=kx

Therefore the oscillations will not be simple harmonic.


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