Q. Two circular rings have their masses in the ratio of 1:2 and their diameters in the ratio of $\ $2:1. The ratio of their moment of inertia is
A) 1 :4
B) 2 :1
C) 4 :1
D) $\sqrt{2}\ :1$
Explanation
(b) $\frac{I_{1}}{I_{2}} = \left( \frac{M_{1}}{M_{2}} \right)\left( \frac{R_{1}}{R_{2}} \right)^{2} = \frac{1}{2} \times \left( \frac{2}{1} \right)^{2} = 2$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.