Assertion , No work is done if the displacement is zero
Reason: Work done by the force is defined to be the product of component of the force in the the direction of the displacement and the magnitude of displacement.

Options

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

Explanation

To analyze the given assertion and reason, we will break down the statements step by step.

### Step 1: Understanding the Assertion
The assertion states: "No work is done if the displacement is zero."

- **Explanation**: Work done (W) is defined mathematically as:
\[ W = F \cdot s \]
where \( F \) is the force applied and \( s \) is the displacement. If the displacement \( s = 0 \), then:
\[ W = F \cdot 0 = 0 \]
Therefore, the assertion is true.

### Step 2: Understanding the Reason
The reason states: "Work done by the force is defined to be the product of the component of the force in the direction of the displacement and the magnitude of displacement."

- **Explanation**: This statement is also correct. The work done can be expressed as:
\[ W = F \cdot s \cdot \cos(\theta) \]
where \( \theta \) is the angle between the force vector and the displacement vector. This definition confirms that work done depends on both the magnitude of the force and the displacement in the direction of that force.

### Step 3: Evaluating the Relationship Between Assertion and Reason
Now, we need to determine if the reason correctly explains the assertion.

- While both statements are true, the reason does not specifically explain why no work is done when displacement is zero. The reason describes how work is calculated but does not directly address the condition of zero displacement leading to zero work.

### Conclusion
- Both the assertion and the reason are true statements.
- However, the reason does not serve as a correct explanation for the assertion.

### Final Answer
- Assertion: True
- Reason: True
- Explanation: The reason is not a correct explanation of the assertion.