Assertion : The work done by the spring force in a cyclic process is zero. Reason : Spring force is a conservative force.

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 solve the assertion-reason question, we need to analyze both the assertion and the reason provided.

### Step 1: Analyze the Assertion
The assertion states: "The work done by the spring force in a cyclic process is zero."
- A cyclic process means that the system returns to its initial state after completing a cycle. In the case of a spring, when it is stretched and then released, or compressed and then released, it returns to its original position.
- Since the spring returns to its original position, the net displacement is zero, and thus the work done by the spring force over one complete cycle is zero.

### Step 2: Analyze the Reason
The reason states: "Spring force is a conservative force."
- A conservative force is defined as a force for which the work done in moving an object between two points is independent of the path taken.
- The spring force is indeed a conservative force because it only depends on the initial and final positions, not on the path taken to get there.
- Therefore, when a spring is compressed or stretched and then returns to its original position, the work done by the spring force is zero, confirming that it is a conservative force.

### Step 3: Conclusion
Since both the assertion and the reason are true, and the reason correctly explains the assertion, we conclude that:
- Both the assertion and reason are true, and the reason is the correct explanation of the assertion.

### Final Answer
The correct option is: Both assertion and reason are true, and reason is the correct explanation of assertion.

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