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Welcome to the article The human ear canal is on average 2 5 cm long and aids in hearing by acting as a resonant cavity that is closed at. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!

The human ear canal is, on average, 2.5 cm long and aids in hearing by acting as a resonant cavity that is closed at one end and open at the other. The length of the ear canal is partially responsible for our sensitivities to certain frequencies. Use 340 m/s for the speed of sound when performing the following calculations.

What is the first resonant frequency?

Answer :

Answer:

[tex]3400[/tex] Hz

Explanation:

We know that

1 cm = 0.01 m

[tex]L[/tex] = Length of the human ear canal = 2.5 cm = 0.025 m

[tex]V[/tex] = Speed of sound = 340 ms⁻¹

[tex]f[/tex] = First resonant frequency

The human ear canal behaves as a closed pipe and for a closed pipe, nth resonant frequency is given as

[tex]f = \frac{(2n - 1)V}{4L}[/tex]

for first resonant frequency, we have n = 1

Inserting the values

[tex]f = \frac{(2(1) - 1) 340}{4(0.025)}[/tex]

[tex]f = \frac{340}{4(0.025)}[/tex]

[tex]f = 3400[/tex] Hz

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Rewritten by : Brahmana