Question Detail
Question
Which of the following condition(s) is/are correct about conservative force field? I. ∇×F = 0; II. ∮ F·dr = 0; III. F = ∇V; IV. ∫ F·dr = 0
Correct Answer
Option B is the correct answer.
Detailed Explanation
For conservative force: curl F = 0, and line integral around closed path is zero. F = -∇V (not +∇V). So I and II are correct, III has sign error, IV is not standard.
Hint
Conservative forces have zero curl and zero closed path integral.