Inertia of a body has direct dependence on

Options

A. Velocity
B. Mass
C. Area
D. Volume

Answer

To determine the direct dependence of inertia of a body, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Inertia**:
- Inertia is the property of a body to resist changes in its state of motion. It is essentially the tendency of an object to maintain its current state of motion unless acted upon by an external force.

2. **Mathematical Expression**:
- The moment of inertia (I) is mathematically expressed as:
\[ I = \sum m_i r_i^2 \]
where \( m_i \) is the mass of the particles and \( r_i \) is the distance of each particle from the axis of rotation.

3. **Identifying Dependencies**:
- From the formula, we can see that inertia depends on:
- The **mass** of the body (more mass means more inertia).
- The **distance** of the mass from the axis of rotation (the farther the mass is from the axis, the greater the inertia).

4. **Conclusion**:
- Therefore, inertia has a direct dependence on both the mass of the body and the distribution of that mass relative to the axis of rotation. It does not depend on other factors such as velocity, area, or volume.

### Final Answer:
Inertia of a body has direct dependence on **mass** and **distance from the axis of rotation**.

---