First slide

Angular momentum

Question

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

Moderate

A

4L
B

2L
C

L/2
D

L/4

Solution

$We know that, L = {mωr}^{2} Further, E = \frac{1}{2} Lω or L = 2 E / ω ∴ L^{'} = \frac{E / 2}{2 ω} = \frac{E}{4 ω} = \frac{L}{4}$

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