There are two spheres of same mass and same radius, one is solid and other is hollow. Which of them has a larger moment of inertia about its dimeter ?

Explanation

To determine which of the two spheres (solid or hollow) has a larger moment of inertia about its diameter, we can follow these steps:

### Step 1: Understand the Moment of Inertia Formula
The moment of inertia (I) of an object about an axis depends on how the mass is distributed relative to that axis. For a sphere, the moment of inertia can be calculated using specific formulas based on its shape.

### Step 2: Moment of Inertia of a Solid Sphere
The moment of inertia of a solid sphere about its diameter is given by the formula:
\[ I_{\text{solid}} = \frac{2}{5} M R^2 \]
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