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Standing Waves in Open Organ Pipe

A resonance t...

Question

A resonance tube of length $1 m$ is resonated with a tuning fork of frequency $700 H z$ . If the velocity of sound in air is $330 m s^{- 1}$ then the number of harmonics produced in the tube will be

A

1

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B

2

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C

3

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D

4

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Solution

The correct option is B $4$
The frequencies of waves in a tube are

$ν = \frac{n v}{2 l}$

here, variables have their usual meanings.

$n = \frac{2 ν l}{v}$

$n = \frac{2 (700) (1)}{330}$

$n = \frac{1400}{330} \approx 4$

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