Consider two uniform discs of the same thickness and different radii and made of the same material. If the ratio of their moments of inertia and , respectively, about their axes is then the value of is
Step 1. Given data
Radii of the uniform disc,
Radii of the uniform disc,
The ratio of Moment of inertia,
Step 2. Moment of inertia of the uniform disc
Moment of inertia of the uniform disc, [Where is the mass]
[Where is the uniform density and is the thickness]
Step 3. Finding the value of
By using the above formula,
Hence, the correct option is .