Start Free Mock LoginAlready registered? Login here

Physics - Rotation Question with Solution | TestHub

PhysicsRotationAngular momentumMedium2 minPYQ_2021

PhysicsMediumsingle choice

A particle performs rotational motion with an angular momentum ' $L$ '. if frequency of rotation is doubled and its kinetic energy becomes one fourth, the angular momentum becomes.

Options:

Answer:

Solution:

Kinetic energy $k = \frac{1}{2} I ω^{2}$ $∴ \frac{K _{2}}{K _{1}} = \frac{I _{2} ω _{2}^{2}}{I _{1} ω _{1}^{2}} ∴ \frac{1}{4} = \frac{I _{2}}{I _{1}} \cdot 4 ∴ \frac{I _{2}}{I _{1}} = \frac{1}{16} \frac{L _{2}}{L _{1}} = \frac{I _{2} ω _{2}}{I _{1} ω _{1}} = \frac{1}{16} \times 2 = \frac{1}{8} ∴ L_{2} = \frac{L _{1}}{8}$

Stream:MHT_CETSubject:PhysicsTopic:RotationSubtopic:Angular momentum

⏱ 2mℹ️ Source: PYQ_2021

Doubts & Discussion

Loading discussions...