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Question 30453
JEE Physics · Hard

Work, Power and Energy: PE Function MCQ

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

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PE FunctionHardQuestion 30453

Question

A particle has PE U(x) = 4x² − 2x. The equilibrium position and force at x = 1 m are:
  1. A
    x = 0.25 m; F(1 m) = −6 N
    Correct
  2. B
    x = 1 m; F(1 m) = 6 N
  3. C
    x = 0.5 m; F(1 m) = −6 N
  4. D
    x = 0.25 m; F(1 m) = 0

Correct answer

x = 0.25 m; F(1 m) = −6 N

Explanation

F = −dU/dx = −(8x − 2). At equilibrium, F = 0, so 8x = 2 and x = 0.25 m. At x = 1 m, F = −(8 − 2) = −6 N.

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