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A particle performs uniform circular motion with an angular momentum L. If the frequency of the particle is double, then angular momentum becomes

A particle performs uniform circular motion with an angular momentum L. If the frequency of the particle is double, then angular momentum becomes Correct Answer 2L

CONCEPT-

  • Angular Momentum (L): The turning momentum of the particle about the axis of rotation is called the angular momentum of the particle.
  • Mathematically angular momentum can be written as -
    L = Iω
    Where I = Moment of inertia and ω = angular velocity.


EXPLANATION:

The relationship between the angular velocity and frequency is given by

ω = 2πf

where f = frequency

∴ Angular momentum can be written as -

L = 2πfI

If the frequency of the particle is double, then angular momentum becomes

L1 = 2πl(2f) = 2(2πfI)          

⇒ L1 = 2L

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