Ear Resonance Frequency: L=5 cm, Water Velocity 1500 m/s

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SUMMARY

The discussion focuses on calculating the ear resonance frequency for a swimmer with an ear canal length of 5 cm filled with water, where the velocity of sound in water is 1500 m/s. The resonance frequency can be determined using the formula for a closed-end column of fluid. The fundamental frequency is calculated as approximately 1500 Hz, which indicates the frequency at which the ear is most sensitive due to resonance.

PREREQUISITES
  • Understanding of wave mechanics
  • Knowledge of resonance in closed-end columns
  • Familiarity with the speed of sound in different media
  • Basic mathematical skills for frequency calculations
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  • Research the formula for resonance frequency in closed-end columns
  • Learn about the effects of different fluid densities on sound velocity
  • Explore the relationship between ear canal length and sensitivity to sound frequencies
  • Investigate applications of resonance in medical acoustics
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Students studying physics, audiologists, and professionals in acoustics who are interested in the principles of sound resonance in biological systems.

Resul
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A person is swimming underwater and his ear canal of length L=5 cm is filled with water. It can be treated as a column of fluid open at one and closed at the other(eardrum). Velocity of in water is 1500 m/s, at what frequency will his ear be most sensetive due to resonance in his ear canal?
 
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Hello Resul, :welcome:

This looks a lot like homework :smile: so please use the template and show an attempt at solution. See PF guidelines ...
 

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