Question

Which of the following statements is not related to conservative force?

• A. Work done in closed path is zero
• B. Work done is recoverable
• C. Path independent
• D. Path dependent

Answer 1

The correct option is D

Path dependent

Work done

A force is conservative if the work done by the force in displacing a particle from one point to another is independent of the path followed by the particle and only depends on the initial and the final position.

Explanation of correct option:

1. Since the work done depends only on initial and final points, the work done is not path-dependent.
2. Therefore, it is not related to conservative force.

Explanation of incorrect options:

Option A:

1. Work done in a closed path is zero as the initial and final points are the same.
2. Therefore, it is related to conservative force.

Option B:

1. In the case of work done against a conservative force, the mechanical energy of the system is conserved. Hence we can imply that work done is recoverable.
2. Therefore, it is related to conservative force.

Option C:

1. Since the work done depends only on initial and final points, the work done is path-independent.
2. Therefore, it is related to conservative force.

Therefore, option D is correct.