A tube of length $1.05\text{ m}$ is closed at one end. If the velocity of sound in air is $336\text{…

A tube of length $1.05\text{ m}$ is closed at one end. If the velocity of sound in air is $336\text{ ms}^{-1}$, then the fundamental and the next higher overtone (in Hz) are respectively
  1. 80, 160
  2. 80, 240
  3. 160, 320
  4. 160, 480

Solution

Fundamental frequency, $f_1 = \frac{v}{4l} = \frac{336}{4 \times 1.05} = 80\text{ Hz}$ Next higher overtone will be at frequency, $f_3 = 3f_1 = 240\text{ Hz}$

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