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A particle performs uniform circular mot...

A particle performs uniform circular motion with an angular momentum L.If the frequency of particle's motion is doubled and its kinetic energy halved,the angular momentum becomes

A

2L

B

4L

C

`L//2`

D

`L//4`

Text Solution

Verified by Experts

The correct Answer is:
D
Energy `(E)=(1)/(2)Lomega=(1)/(2)Lxx2pif`
:. `EpropLxxfimplies(L_(2))/(L_(1))=(E_(2))/(E_(1))xx(f_(1))/(f_(2))`
= `((E_(1)//2)/(E_(1)))((f_(1))/(2f_(1)))=(1)/(4)`
implies `L_(2)=(L_(1))/(4)"or"(L)/(4)`
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