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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

time taken by bead to go from `P_(1)` to `P_(2)` is dependent on position `P_(2)` and equals `2sqrt((R)/(g))cos theta`

B

time taken by bead to go from `P_(1)` to `P_(2)` is independent of position `P_(2)` and equals `2sqrt((R)/(g))`

C

Acceleration of bead along the wire is g cos `theta`.

D

Velocity of bead when it arrives at `P_(2)` is `2sqrt(gR) cos theta`.

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The correct Answer is:
B,C,D
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