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Question

A tube of length 1 m containing H2 is closed at one end. If the velocity of sound in air be 340 m/s. Then, the fundamental frequency and the next higher overtone in H2 are:
  1. 85 Hz,170 Hz
  2. 170 Hz,255 Hz
  3. 85 Hz,255 Hz
  4. 55 Hz, 255 Hz


Solution

The correct option is C 85 Hz,255 Hz
For a closed organ pipe only odd harmonic will exist.
The fundamental frequency is,
f1=v4L=3404×1=85 Hz
The next higher overtone will be 3rd harmonic or 1st overtone.
f3=3v4L=3f1=3×85=255 Hz
(c) is the correct option.

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