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The human ear canal is about 2.9 cm long. If it is regarded as a tube open at one end and closed at the eardr?
The human ear canal is about 2.9 cm long. If it is regarded as a tube open at one end and closed at the eardrum, what is the fundamental frequency around which we would expect hearing to be most sensitive?
____kHz
2 Answers
- JullyWumLv 78 years agoFavorite Answer
The fundamental mode of vibration for this tube has a standing wave node (stationary point) against the closed end and the first anti-node at the open end .. making the tube length = 1/4 fundamental wavelength (λₒ) ..
λₒ = 4 x 2.90cm = 11.60 cm = 0.116 m
For sound wave velocity, v = 340 m/s
fₒ = v/λₒ .. .. 340m/s / 0.116m .. .. ►fₒ = 2931 Hz (2.93 kHz)