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?