Q.

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

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a

L/4

b

L/2

c

2 L

d

4 L

answer is A.

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Detailed Solution

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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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