To discs have same moment of inertia about their own axes . Their thickness are also same . If the ratio of their material densities is 16 :1 . Find the ratio of their radii .

Explanation

To solve the problem, we need to find the ratio of the radii of two discs given that they have the same moment of inertia and their densities are in the ratio of 16:1.

### Step-by-Step Solution:

1. **Understanding the Moment of Inertia**:
The moment of inertia \( I \) for a disc about its own axis is given by the formula:
\[
I = \frac{1}{2} M R^2
...