Rotational Motion Question 27

Question: This question has Statement land Statement 2. Of the four choices given after the Statements, choose the one that best describes the two Statements.Statement 1: When moment of inertia/of a body rotating about an axis with angular speed ω increases, its angular momentum L is unchanged but the kinetic energy K increases if there is no torque applied on it.Statement 2: L=Iω, kinetic energy of rotation =12Iω2

[JEE ONLINE 12-05-2012]

Options:

A) Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation of Statement 1.

B) Statement 1 is false, Statement 2 is true.

C) Statement 1 is true, Statement 2 is true. Statement 2 is correct explanation of the Statement 1.

D) Statement 1 is true, Statement 2 is false.

Show Answer

Answer:

Correct Answer: B

Solution:

  • [b] As so L increases with increase in co.

Kinetic energy depends on an angular velocity’ co’ and moment of inertia of the body I.

As L=Iω so L increases with increase in co. Kinetic energy (rotational) ​depends on an angular velocity ω of and moment of inertia of the body I.

i.e., K.E.(rotational)= 12 Iω2



NCERT Chapter Video Solution

Dual Pane