A smooth wire of length \[2\pi r\]is bent into a circle and kept in a vertical plane. A bead can slide smoothly on the wire. When the circle is rotating with angular speed \[\omega \]about the vertical diameter AB, as shown in figure, the bead is at rest with respect to the circular ring at position P as shown. Then the value of \[{{\omega }^{2}}\] is equal to : |
[JEE Main 12-4-2019 Afternoon] |
A) \[\left( g\sqrt{3} \right)/r\]
B) \[\frac{\sqrt{3}g}{2r}\]
C) \[2g/r\]
D) \[2g/\left( r\sqrt{3} \right)\]