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A bead of mass m is threaded on a smooth...

A bead of mass `m` is threaded on a smooth circular wire centre `O`, radius a, which is fixed in vertical plane. A light string of natural olength 'a', elastic constant `= (3mg)/(a)` and breaking strength `3mg` connects the bead to the lowest point `A` of the wire. The other end of the string is fixed to ring at point `B` near point `A`. The string is slaked initially. The bead is projected from `A` with speed `u`.

The elastic energy stored in the string when the bead is at the highest point `B` will be

A

`(3mga)/(2)`

B

`2mga`

C

`4mga`

D

`(2mga)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Elastic `PE` stored in the string
`(1)/(2)((3mg)/(a))a^(2) = (3)/(2) mga`.
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