Find the resonant frequency of the ear canal.Treat it as a half-open tube of diameter 8 mm and length 27 cm.Assume the temperature inside the ear canal is body temperature (37 $\circ$ C).
A)318 Hz
B)327 Hz
C)636 Hz
D)654 Hz
E)None are correct.

Question

Quizplus · Accepted Answer

The resonant frequency of the half-open tube can be calculated using the formula:
f = (n*c)/(2*L)
where n is an integer (1, 2, 3...), c is the speed of sound, and L is the length of the tube.
Using the values given, we have:
c = 331.5 + 0.6*T = 331.5 + 0.6*37 = 353.7 m/s (at body temperature)
L = 0.27 m
n = 1 (since we are looking for the fundamental frequency)
Plugging in these values, we get:
f = (1*353.7)/(2*0.27) = 327 Hz
Therefore, the resonant frequency of the ear canal is approximately 327 Hz. The correct choice is B.

Find the Resonant Frequency of the Ear Canal ∘\circ∘ C) A)318 Hz B)327 Hz C)636 Hz D)654 Hz E)None

Find the Resonant Frequency of the Ear Canal $\circ$ C)
A)318 Hz
B)327 Hz
C)636 Hz
D)654 Hz
E)None