Standing Sound Waves Video Lessons

Concept

# Problem: 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.

###### FREE Expert Solution

For an open-closed tube, the sound frequency is expressed as:

$\overline{){\mathbf{f}}{\mathbf{=}}{\mathbf{m}}{\mathbf{\left(}}\frac{\mathbf{v}}{\mathbf{4}\mathbf{L}}{\mathbf{\right)}}}$, where m is the possible standing mode (1,3,5,7,...), v is the velocity of sound, and L is the length of the tube.

The standing mode values at which the child will have increased the hearing sensitivity are m = 1,3

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###### Problem Details

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?