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MHT CET202525 Apr 2025Evening ShiftPhysicsWaves and SoundActual

In an open end organ pipe of length ' L ', if the velocity of sound is ' V ', then the fundamental frequency will be (Neglect end correction)

Options

  1. AV 2 ~L and all harmonics are present.
  2. BV 4 ~L and all harmonics are present.
  3. CV 2 ~L and even harmonics are present.
  4. DV 4 ~L and even harmonics are present.

Correct answer

A. V 2 ~L and all harmonics are present.

Step-by-step solution

For an open organ pipe with antinodes at both ends, the fundamental standing wave satisfies L = ₁ 2 . The fundamental frequency is f₁ = V ₁ = V 2L . Harmonics occur when L = n _n 2 for n = 1, 2, 3, , yielding f_n = n V 2L = n f₁ . All harmonics are present , as n spans all positive integers. Option A correctly states the fundamental frequency V 2L with all harmonics present.

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