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A bead of mass m can slide without frict...

A bead of mass m can slide without friction along a vertical ring of radius R. One end of a spring of force constant `k=(3mg)/(R )` is connected to the bead and the other end is fixed at the centre of the ring. Initially, the bead is at the point A and due to a small push it starts sliding down the ring. If the bead momentarily loses contact with the ring at the instant when the spring makes an angle `60^(@)` with the vertical, then the natural length of the spring is

A

`(5R)/(9)`

B

`(3R)/(4)`

C

`(5R)/(6)`

D

`(4R)/(7)`

Text Solution

Verified by Experts

The correct Answer is:
C
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