Physics: A child has an ear canal that is 1.3 cm long. Assume the speed of sound is v = 344 m/s. At what sound frequencies in the audible range will the child have increased hearing sensitivity? Express your answer using two significant figures. Enter your answers numerically separated by commas.

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A child has an ear canal that is 1.3 cm long. Assume

Ответ:

BARRION1981

30.01.2022

Physics

The frequencies are $(f, f_1) = (6615.4 \ Hz , 19846.2\ Hz)$

Explanation:

From the question we are told that

The length of the ear canal is $l = 1.3 \ cm =\frac{1.3}{100} = 0.013 \ m$

The speed of sound is assumed to be $v_s = 344 \ m/s$

Now taking look at a typical ear canal we see that we assume it is a closed pipe

Now the fundamental harmonics for the pipe(ear canal) is mathematically represented as

$f = \frac{v_s}{4 * l }$

substituting values

$f = \frac{344}{4 * 0.013 }$

$f = 6615.4 \ Hz$

Also the the second harmonic for the pipe (ear canal) is mathematically represented as

$f_1 = \frac{3v_s}{4 * l}$

substituting values

$f_1 = \frac{3 * 344}{4 * 0.013}$

$f_1 = 19846.2 \ Hz$

Given that sound would be loudest in the pipe at the frequency, it implies that the child will have an increased audible sensitivity at this frequencies

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A child has an ear canal that is 1.3 cm long. Assume the speed of sound is v = 344 m/s. At what sound frequencies in the audible range will the child have increased hearing sensitivity?

Express your answer using two significant figures. Enter your answers numerically separated by commas.

Ответ:

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