Q. Two bodies have their moments of inertia $I$ and $2I$ respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular momentum will be in the ratio
A) $1\ :2$
B) $\sqrt{2}\ :1$
C) $2\ :1$
D) $1\ :\ \sqrt{2}$
Explanation
(d) $L = \sqrt{2IE}$. If $E$ are equal then $\frac{L_{1}}{L_{2}} = \sqrt{\frac{I_{1}}{I_{2}}} = \sqrt{\frac{I}{2I}} = \frac{1}{\sqrt{2}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.