A bead is sliding down a smooth wire tightly stretched between the points `P_(1)` and `P_(2)` on a vertical circle of radius R. If the bead starts from rest from `P_(1)`, the highest point on the circle and `P_(2)` lies anywhere on the circumference of the circle. Then

Options

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`.

Answer

B,C,D