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JEE Physics · Medium

Waves on String: Standing Wave Equation MCQ

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Standing Wave EquationMediumQuestion 31324

Question

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

Correct answer

(2n+1)π/2

Explanation

Antinodes: sin(kx) = ±1 → kx = π/2, 3π/2, 5π/2 = (2n+1)π/2. Maximum amplitude = 2A at antinodes.

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