A : The work done by a force during round trip is always zero.
R : The average value of force in round trip is zero.

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1).
B. If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2).
C. If Assertion is true statement but Reason is false, then mark (3).
D. If both Assertion and Reason are falsė statements, then mark (4).

Answer

To analyze the given statements, we will break down the assertions and reasons step by step.

### Step 1: Understanding the Assertion
**Assertion (A)**: The work done by a force during a round trip is always zero.

- The work done by a force is defined as the product of the force and the displacement in the direction of the force.
- For a round trip, if the object returns to its starting point, the net displacement is zero.
- However, this assertion is only true for conservative forces (like gravitational force) where the work done depends only on the initial and final positions, not on the path taken.
- If the force is non-conservative (like friction), the work done may not be zero even if the object returns to its starting point.

**Conclusion**: The assertion is not universally true; it is true only for conservative forces.

### Step 2: Understanding the Reason
**Reason (R)**: The average value of force in a round trip is zero.

- The average force is calculated as the total force applied divided by the total displacement.
- In a round trip, the total displacement is zero (since the object returns to its starting point).
- However, this does not mean that the average force is zero. The force can vary in magnitude and direction during the trip, and it is not necessarily zero just because the net displacement is zero.

**Conclusion**: The reason is also incorrect as it misinterprets the concept of average force.

### Step 3: Final Evaluation
Since both the assertion and the reason are incorrect, we conclude that the correct answer is that both statements are false.

### Final Answer
Both assertion (A) and reason (R) are false.

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