The mass of a body cannot be considered to be concentrated at the centre of mass of the body for the purpose of computing its moment of inertia.
For then the moment of inertia of every body about an axis passing through its centre of mass would be zero.

Options

A. Statement I is True, Statement II is True, Statement ll is a correct explanation for Statement I.
B. Statement I is True, Statement II is True, Statement II is NOT a correct explanation for Statement I
C. Statement I is True, Statement II is False.
D. Statement I is False, Statement II is True.

Explanation

To solve the question, we need to analyze the statements regarding the moment of inertia and the center of mass of a body.

### Step-by-Step Solution:

1. **Understanding the Concept of Moment of Inertia**:
- Moment of inertia (I) is a measure of an object's resistance to changes in its rotation about an axis. It depends on the mass distribution of the body relative to the axis of rotation.
- The formula for the moment of inertia about an axis is given by:
\[ I = \sum m_i r_i^2 \]
where \(m_i\) is the mass of the individual particles and \(r_i\) is the distance of each mass from the axis of rotation.

2. **Center of Mass and Its Implications**:
- The center of mass (CM) of a body is the point where the mass of the body can be considered to be concentrated for translational motion.
- However, for rotational motion, the mass distribution relative to the axis of rotation is crucial.

3. **Analyzing the First Statement**:
- The first statement claims that the mass of a body cannot be considered to be concentrated at the center of mass for the purpose of computing its moment of inertia.
- This is true because if we consider the entire mass at the center of mass, the distances \(r_i\) from the axis of rotation would all be zero, leading to:
\[ I = \sum m_i \cdot 0^2 = 0 \]
- Therefore, the first statement is correct.

4. **Analyzing the Second Statement**:
- The second statement says that if we consider the mass concentrated at the center of mass, then the moment of inertia about an axis passing through the center of mass would be zero.
- This is also true for the same reason as above; if all mass is concentrated at the center of mass, the distances from the axis of rotation would again be zero, resulting in:
\[ I = 0 \]
- Thus, the second statement is also correct.

5. **Conclusion**:
- Both statements are correct. The mass cannot be treated as concentrated at the center of mass when calculating the moment of inertia, as it would lead to a moment of inertia of zero for any axis through the center of mass.

### Final Answer:
Both statements are correct.

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