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A positively charged thin metal ring of ...

A positively charged thin metal ring of radius R is fixed in the xy plane with its centre at the origin O. A negatively charged particle P is released from rest at the point `(0, 0, z_0)` where `z_0gt0`. Then the motion of P is

A

periodic, for all value of `z_(0)` satisfying `0 lt z_(0) lt oo`

B

simple harmonic, for all value of `z_(0)` satisfying `0 lt z_(0) le R`

C

approximately simple harmonic, provided `z_(0) lt lt R`

D

such that `P` crosses `O` and continues to move along the negative `z`-axis towards `z=-oo`

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The correct Answer is:
A, B
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