JEE Physics · Hard

Simple Harmonic Motion: Coupled Pendulums MCQ

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

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Coupled PendulumsHardQuestion 31192

Question

Two identical pendulums weakly coupled show 'beats' phenomenon because:
  1. A
    Their frequencies are exactly equal
  2. B
    Two normal mode frequencies are slightly different — energy oscillates between them
    Correct
  3. C
    Coupling removes all oscillation
  4. D
    Mass of bob changes

Correct answer

Two normal mode frequencies are slightly different — energy oscillates between them

Explanation

Coupling splits the degenerate frequency into two close frequencies ω₁ and ω₂. Beat frequency = |ω₁−ω₂|. Energy transfers from one pendulum to the other at the beat frequency.