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A particle performs a uniform circular m...

A particle performs a uniform circular motion with angular momentum L. If its angular frequency is halved and the rotational kinetic energy is doubled, then the new angular momentum will be

A

`2L`

B

`3L`

C

`4L`

D

`(L)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
`E=(1)/(2)Iomega^(2)" "therefore (2E)/(omega)=Iomega=L`
`therefore =(2E_(2))/(omega_(2))=(2xx2E)/(omega//2)=(8E)/(omega)=4L`
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