A : Two rings of equal mass and radius made of different materials, will have same moment of inertia.
R : Moment of inertia depends on mass as well as distribution of mass in the object.

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion,
B. If both Assertion & Reason are true but the reason is not the correct explanation of the assertion,
C. If Assertion is true statement but Reason is false,
D. If both Assertion and Reason are false statements,

Answer

To solve the assertion and reason question, we will analyze both statements step by step.

### Step 1: Understanding the Assertion
The assertion states that "Two rings of equal mass and radius made of different materials will have the same moment of inertia."

- **Moment of Inertia Formula**: The moment of inertia (I) for a ring about its central axis is given by the formula:
\[ I = m r^2 \]
where \( m \) is the mass of the ring and \( r \) is the radius.

- Since both rings have the same mass (M) and the same radius (R), we can substitute these values into the formula:
\[ I_A = M R^2 \quad \text{(for ring A)} \]
\[ I_B = M R^2 \quad \text{(for ring B)} \]

- This shows that both rings have the same moment of inertia regardless of the material they are made from.

### Conclusion for Step 1:
The assertion is **true**.

### Step 2: Understanding the Reason
The reason states that "Moment of inertia depends on mass as well as distribution of mass in the object."

- **Distribution of Mass**: The moment of inertia does not only depend on the total mass but also on how that mass is distributed relative to the axis of rotation.

- For the rings in question, even though they are made of different materials, their mass distribution (which is uniform and at a constant radius from the axis) is the same. Therefore, the moment of inertia is determined solely by the mass and the radius in this case.

### Conclusion for Step 2:
The reason is also **true** and correctly explains the assertion.

### Final Conclusion:
Both the assertion and the reason are true, and the reason correctly explains the assertion. Therefore, the correct answer is option A.

---