A particle performing uniform circular motion gas angular momentum `L`. If its angular frequency is double and its kinetic energy halved, then the new angular momentum is :

Options

A. `2 L`
B. `4 L`
C. ` L//2`
D. ` L//4`

Explanation

`L=Iomega, K=(1)/(2)omega^(2)`
`omega rarr 2omega, K rarr(K)/(2), i.e. I rarr(I)/(8)`
`L'=(I)/(8)(2omega)=(Iomega)/(4)=(L)/(4)`