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Question 31236
JEE Physics · Hard

Sound Waves: Standing Waves MCQ

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Standing WavesHardQuestion 31236

Question

Standing wave equation y = 2A sin(kx) cos(ωt) has antinodes at:
  1. A
    kx = nπ
  2. B
    kx = (2n+1)π/2
    Correct
  3. C
    kx = nπ/2
  4. D
    kx = 2nπ

Correct answer

kx = (2n+1)π/2

Explanation

Antinodes where sin(kx) = ±1 → kx = π/2, 3π/2, 5π/2,... = (2n+1)π/2 for n = 0,1,2,...

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