The moment of inertia of a uniform ring about an axis passing through its centre and perpendicular to its plane is `100kgm^(2)`. What is the moment of inertia of the ring about its diameter ?

Explanation

To find the moment of inertia of a uniform ring about its diameter, we can use the relationship between the moment of inertia about different axes.

1. **Given Information**:
- The moment of inertia of the ring about an axis passing through its center and perpendicular to its plane (I_z) is given as \( I_z = 100 \, \text{kg m}^2 \).

2. **Moment of Inertia Formulas**:
- The moment of inertia about the diameter (I_x or I_y) of the ring can be expressed using the perpendicular axis theorem. For a planar object, the theorem states:
\[
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