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A bead can slide on a smooth circular wi...

A bead can slide on a smooth circular wire frame of radius r which is fixed in a vertical plane. The bead is displaced slighty from the highest point of the wire frame. The speed of the bead subsequently as a function of the angle `theta` made by the bead with the verticle line is

A

`sqrt(2gr)`

B

`sqrt(2gr(1-sintheta))`

C

`sqrt(2gr(1-costheta))`

D

`2sqrt(gr)`

Text Solution

Verified by Experts

The correct Answer is:
C
(c ) `h=r(1-cos theta)`

Now,decrease in PE =increase in KE
or `" " mgr(1-cos theta)=(1)/(2)mv^(2) " or " v=sqrt(2gr(1-cos theta))`
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