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System of Particles and Rotational Motion

Angular momentum

A particle performing uniform circular motion has angular mome

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A particle performing uniform circular motion has angular momentum $L$ . If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum is (a) $\frac{L}{4}$ (b) $2 L$ (c) $4 L$ (d) $L /2$

Views: 6,214 students

Updated on: Apr 6, 2023

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2003

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Scarlett Discussed

A particle performing uniform circular motion has angular momentum

L

. If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum is (a)

\frac{L}{4}

(b)

2 L

(c)

4 L

(d)

L /2

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

Exp. (a)
Angular momentum,

L = I ω

Eq. (i)
Kinetic energy,

K = \frac{1}{2} I ω^{2} = \frac{1}{2} L ω

[from Eq. (i)]
Now,

L = 2 \frac{K}{ω}

L^{'} = \frac{2 ( \frac{K}{2} )}{2 ω} \Rightarrow L^{'} = \frac{L}{4}

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Question Text	A particle performing uniform circular motion has angular momentum $L$ . If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum is (a) $\frac{L}{4}$ (b) $2 L$ (c) $4 L$ (d) $L /2$
Updated On	Apr 6, 2023
Topic	System of Particles and Rotational Motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 6
Upvotes	757
Avg. Video Duration	5 min

A particle performing uniform circular motion has angular momentum $L$ . If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum is (a) $\frac{L}{4}$ (b) $2 L$ (c) $4 L$ (d) $L /2$

Text solutionVerified

Filo tutor solutions (6)

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

Text solutionVerified

Filo tutor solutions (6)

Questions from JEE Mains 2003 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Practice questions from System of Particles and Rotational Motion in the same exam

Practice more questions from System of Particles and Rotational Motion

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A particle performing uniform circular motion has angular momentum $L$ . If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum is (a) $\frac{L}{4}$ (b) $2 L$ (c) $4 L$ (d) $L /2$