Question

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 1

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 :

$f=\dfrac{v}{4l}$

Where

l is the length of the instrument

$l=\dfrac{v}{4f}$

$l=\dfrac{343\ m/s}{4\times 99\ Hz}$

l = 0.866 meters

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