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Determine the length of a wind instrument, assuming that it is modeled as a closed tube and that the lowest sound that it can play has a frequency of 99 Hz. The speed of sound in air is 343m/s.

Answer :

Answer:

Length, l = 0.866 meters

Explanation:

Given that,

Frequency of sound, f = 99 Hz

Speed of sound in air, v = 343 m/s

To find,

The length of a wind instrument.

Solution,

The standing wave will gets formed in wind instrument. For the closed tube, the closed tube the frequency is given by :

[tex]f=\dfrac{v}{4l}[/tex]

Where

l is the length of the instrument

[tex]l=\dfrac{v}{4f}[/tex]

[tex]l=\dfrac{343\ m/s}{4\times 99\ Hz}[/tex]

l = 0.866 meters

So, the length of a wind instrument is 0.866 meters. Hence, this is the required solution.

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