Assertion : Inertia and moment of inertia are same quantities.
Reason : Inertia represents the capacity of a body to oppose its state of motion or rest.

Options

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If assertion is false but reason is true.

Explanation

To analyze the assertion and reason provided in the question, we can break down the solution into the following steps:

### Step 1: Understand the Assertion
The assertion states that "Inertia and moment of inertia are the same quantities." We need to determine if this statement is true or false.

### Step 2: Define Inertia
Inertia is defined as the property of a body to resist changes in its state of motion. It is directly related to the mass of the body; the greater the mass, the greater the inertia. Inertia does not depend on how the mass is distributed.

### Step 3: Define Moment of Inertia
Moment of inertia, on the other hand, is a measure of an object's resistance to rotational motion about a specific axis. It depends not only on the mass of the object but also on the distribution of that mass relative to the axis of rotation. The formula for moment of inertia (I) is given by:
\[ I = \sum m_i r_i^2 \]
where \( m_i \) is the mass of each point and \( r_i \) is the distance from the axis of rotation.

### Step 4: Compare Inertia and Moment of Inertia
From the definitions:
- Inertia is solely dependent on mass.
- Moment of inertia depends on both mass and its distribution relative to an axis.

Thus, inertia and moment of inertia are not the same quantities.

### Step 5: Evaluate the Reason
The reason states that "Inertia represents the capacity of a body to oppose its state of motion or rest." This statement is true. It accurately describes what inertia is.

### Step 6: Conclusion
Since the assertion is false (inertia and moment of inertia are not the same), and the reason is true (it correctly describes inertia), we conclude that the assertion is incorrect while the reason is correct.

### Final Answer
- **Assertion**: False
- **Reason**: True