The moment of inertia `(I)` and the angular momentum `(L)` are related by the expression

Options

A. `I=L omega`
B. `L = I omega`
C. `L=I^(2) omega`
D. `omega=LI`

Explanation

To solve the question regarding the relationship between moment of inertia (I) and angular momentum (L), we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Definitions**:
- Moment of Inertia (I): It is a measure of an object's resistance to changes in its rotation. It depends on the mass distribution relative to the axis of rotation.
- Angular Momentum (L): It is the rotational analog of linear momentum and is defined as the product of the moment of inertia and the angular velocity.

2. **Angular Momentum Equation**:
- The formula for angular momentum (L) in rotational motion is given by:
\[ L = I \cdot \omega \]
where:
- \(L\) = Angular Momentum
- \(I\) = Moment of Inertia
- \(\omega\) = Angular Velocity

3. **Analyzing the Options**:
- Option 1: \(I = L \cdot \omega\) (Incorrect)
- Option 2: \(L = I \cdot \omega\) (Correct)
- Option 3: \(L = I^2 \cdot \omega\) (Incorrect)
- Option 4: \(\omega = \frac{L}{I}\) (Incorrect)

4. **Conclusion**:
- Based on the analysis, the correct relationship between moment of inertia and angular momentum is given by option 2:
\[ L = I \cdot \omega \]

### Final Answer:
The correct expression relating moment of inertia (I) and angular momentum (L) is:
\[ L = I \cdot \omega \]

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