Q. Two bodies with moment of inertia $I_{1}$ and $I_{2}$ (such that $I_{1} > I_{2})$ have equal angular velocity. If their kinetic energy of rotation are $E_{1}$ and $E_{2}$ then

A) $E_{1} \geq E_{2}$
B) $E_{1} > E_{2}$
C) $E_{1} < E_{2}$
D) $E_{1} = E_{2}$
Explanation

(b) $E = K_{R} = \frac{1}{2}I\omega^{2}$
If angular velocities are equal then $E \propto I$
As $I_{1} > I_{2}$ therefore $E_{1} > E_{2}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.