JEE Physics · Medium

Work, Power and Energy: Work — Variable Force MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

Timer-based practiceDetailed answer reviewMobile-friendly flow
Work — Variable ForceMediumQuestion 30410

Question

Work done by a variable force F(x) as x goes from x₁ to x₂ is given by:
  1. A
    F(x₂ − x₁)
  2. B
    ∫F dx
    Correct
  3. C
    F_avg × (x₂ − x₁)
  4. D
    Both ∫F dx and F_avg × Δx if force is linear

Correct answer

∫F dx

Explanation

W = ∫F·dx for a varying force. For a constant force, this reduces to F×Δx.