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Question

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


A

Work done in closed path is zero

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B

Work done is recoverable

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C

Path independent

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D

Path dependent

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Solution

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.


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