A particle performs uniform circular motion with an angular momentum L. If the frequency of part...

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A particle performs uniform circular motion with an angular momentum L. If the frequency of particles motion is doubled and its kinetic energy halved, the angular momentum becomes
(1) \( 2 \mathrm{~L} \)
(2) \( 4 \mathrm{~L} \)
(3) \( \frac{L}{2} \)
(4) \( \frac{L}{4} \)
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