There are two bodies A & B of same mass body A is at rest while body B is under going uniform motion, which is correct statements ?

Options

A. Inertia of `Agt`inertia of B.
B. Inertia of `Bgt` inertia of A.
C. Inertia of A = inertia of B.
D. Either `1^(st), 2^(nd)" or "3^(rd)` depending upon the shape of body.

Answer

To solve the question, we need to analyze the concept of inertia and how it relates to the two bodies A and B.

### Step-by-Step Solution:

1. **Understanding the Concept of Inertia**:
- Inertia is the property of an object to resist changes in its state of motion. It is directly related to the mass of the object. The greater the mass, the greater the inertia.

2. **Identifying the Conditions of the Bodies**:
- Body A is at rest, which means its velocity (V_A) is 0 m/s and it has no acceleration (a_A = 0).
- Body B is undergoing uniform motion, which means it has a constant velocity (V_B ≠ 0) and also has no acceleration (a_B = 0).

3. **Comparing the Masses of the Bodies**:
- The problem states that both bodies A and B have the same mass (m_A = m_B).

4. **Relating Mass to Inertia**:
- Since mass is a measure of inertia, we can conclude that:
- Inertia of body A (I_A) = mass of body A (m_A)
- Inertia of body B (I_B) = mass of body B (m_B)

5. **Conclusion on Inertia**:
- Since m_A = m_B, we can state that:
- I_A = I_B
- Therefore, the inertia of body A is equal to the inertia of body B.

6. **Final Answer**:
- The correct statement is that the inertia of A is equal to the inertia of B.

### Correct Option:
- The correct option is **C: Inertia of A is equal to inertia of B**.