Question

A particles performing uniform circular motion. Its angular
frequency is doubled and its kinetic energy halved, then the
new angular momentum is
(a) L/4
(b) 2 L
(c) 4 L (d) L/2

Answer 1

Answer:

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Explanation:

11th

Physics

Systems of Particles and Rotational Motion

Torque and Angular Momentum

The angular momentum of a p...

PHYSICS

The angular momentum of a particle performing uniform circular motion is L. If the kinetic energy of the particle is doubled and frequency is halved, then angular momentum becomes

December 26, 2019

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Rythm Solanki

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ANSWER

Angular momentum, L=Iω...........(i)

Where, I is the moment of inertia

Kinetic energy,

K=

2

1

Iω

2

⟹K=

2

1

(I×ω)ω

⟹K=

2

1

Lω

(from eqn(i))

L=

ω

2K

.......ii)

Now, given angular frequency is halved, so, let ω

′

=

2

ω

And the kinetic energy is doubled, so, K

′

=2K

If L

′

is the new angular momentum, then using (ii) we can write,

L

′

=

ω

′

2K

′

⟹L

′

=

2

ω

2(2K)

⟹L

′

=4

ω

2K

⟹L

′

=4L

So, angular momentum becomes four times its original value.

Answer 2

Answer:

I thought c option is correct answer

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