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AP EAMCET201921 Apr 2019Evening ShiftPhysicsWaves and SoundActual

A cylindrical tube open at both ends has a fundamental frequency f in air. The tube is dipped vertically in water so that 60 % of the tube is in water. Then the fundamental frequency of air column is

Options

  1. Af 2
  2. B5 f 4
  3. C3 f 4
  4. D2 f

Correct answer

B. 5 f 4

Step-by-step solution

Consider the length of the tube be L The fundamental frequency for the open organ pipe is, f = V 2   L The figure below represents the 60   % of tube is dipped vertically in water. The length of the closed organ pipe is, l ' = 40 100   L l ' = 2   L 5 The fundamental frequency of air column is, f ' = V 4 l ' Substitute the values in the above equation. f ' = V 4   2   L 5 f ' = 5 4 V 2   L f ' = 5 4 f

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