Asseration : Work done by a constant force is path independent.
Reason : All constant forces are conservative in nature.

Options

A. If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
B. If both Assertion and Reason are true and the Reason is not the correct explanation of the Assertion.
C. If Assertion is true, but the Reason is false
D. If Assertion is false but the Reason is true.

Answer

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

### Step 1: Understand the Assertion
**Assertion:** Work done by a constant force is path independent.

- A constant force means that the magnitude and direction of the force do not change.
- The work done (W) by a force is defined as the product of the force (F) and the displacement (d) in the direction of the force. Mathematically, this is expressed as:
\[ W = F \cdot d \]
- For a constant force, the work done depends only on the initial and final positions, not on the path taken between them.

### Step 2: Understand the Reason
**Reason:** All constant forces are conservative in nature.

- A conservative force is defined as one where the work done is independent of the path taken and depends only on the initial and final positions.
- However, not all constant forces are conservative. For example, friction is a constant force but is non-conservative because the work done against friction depends on the path taken.

### Step 3: Analyze the Truth of Each Statement
- The assertion is **true** because the work done by a constant force is indeed path independent.
- The reason is **false** because it incorrectly states that all constant forces are conservative. Friction is a counterexample to this statement.

### Conclusion
Based on the analysis:
- The assertion is true.
- The reason is false.

Thus, the correct answer is that the assertion is true, but the reason is false.

### Final Answer
Assertion is true; Reason is false.

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