Q. The ration of moments of inertia of circular ring and a circular disc having the same mass and radii about an axis passing through the centre and perpendicular to its plane is

A) 1:1
B) 2:1
C) 1:2
D) 4:1
Explanation

(b) Moment of inertia the rotational inertia of an object.
Moment of inertia of circular ring about an axis passing through it centre and perpendicular to its plane is
$I_{ring} = MR^{2}$
Similarly, for a circular disc about the same axis of rotation
$I_{disc} = \frac{1}{2}MR^{2}$
Hence, $\frac{I_{ring}}{I_{disc}} = \frac{MR^{2}}{\frac{1}{2}MR^{2}} = \frac{2}{1}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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