JEE Physics · Hard

Sound Waves: Phase Velocity MCQ

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

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Phase VelocityHardQuestion 31296

Question

Group velocity v_g and phase velocity v_p for a non-dispersive medium (like sound in open air) are:
  1. A
    v_g < v_p
  2. B
    v_g > v_p
  3. C
    v_g = v_p
    Correct
  4. D
    v_g = 0

Correct answer

v_g = v_p

Explanation

In a non-dispersive medium, all frequency components travel at the same speed. Phase velocity = group velocity = wave speed. Dispersion occurs in waveguides or dense media where v depends on frequency.