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A bead is free to slide down a smooth wi...

A bead is free to slide down a smooth wire tightly stretched between points A and on a verticle circle of radius R. if the bead starts from rest at 'A', the highest point on the circle, its velocity when it arrives at B is :-

A

`2sqrt(gR)`

B

`2sqrt(gR) cos theta`

C

`(2sqrt(r))/(g)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`s=AB=2R cos theta[cos theta=(AB)/(2R)]`
`v^(2)=u^(2)+2aS`
`v^(2)=0+2(g cos theta)xx(@R cos theta)`
`v=2sqrt(gR) cos theta`
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