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Questions  

A particle is making uniform circular motion with angular momentum L. If its kinetic energy is made half and angular frequency be doubled, its new angular momentum m will be

a
L/4
b
L/2
c
2 L
d
4 L

detailed solution

Correct option is A

We know thatL=mvr  and  E=(1/2)mv2Now   L=(2E/v)ror    L=2Erω×r=2Eω (∵V=rω)When E is halved and Ï‰ is doubled, thenL′=2E2×2ω=E2ω=L4

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