JEE Physics · Hard

Simple Harmonic Motion: Energy MCQ

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

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EnergyHardQuestion 31135

Question

If total energy of SHM is E, then energy when displacement is half the amplitude is:
  1. A
    E/4 KE and 3E/4 PE
  2. B
    3E/4 KE and E/4 PE
    Correct
  3. C
    E/2 KE and E/2 PE
  4. D
    E KE and 0 PE

Correct answer

3E/4 KE and E/4 PE

Explanation

At x = A/2: PE = ½k(A/2)² = ½kA²/4 = E/4. KE = E − E/4 = 3E/4.