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# Problem: A student standing in a canyon yells "echo", and her voice produces a sound wave of the frequency of f = 0.55 kHz. The echo takes t = 4.5 s to return to the student. Assume the speed of sound through the atmosphere at this location is v=324 m/s.Randomized variables: f = 0.55 kHzt = 4.5 sv = 324 m/sWhat is the wavelength of the sound wave in meters?

###### FREE Expert Solution

Velocity, v, frequency, f,  and wavelength, λ, relationship:

$\overline{){\mathbf{v}}{\mathbf{=}}{\mathbf{f}}{\mathbf{\lambda }}}$

Frequency, f = 0.55 kHz (1000Hz/1kHz) = 550 Hz

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###### Problem Details

A student standing in a canyon yells "echo", and her voice produces a sound wave of the frequency of f = 0.55 kHz. The echo takes t = 4.5 s to return to the student. Assume the speed of sound through the atmosphere at this location is v=324 m/s.

Randomized variables:

f = 0.55 kHz

t = 4.5 s

v = 324 m/s

What is the wavelength of the sound wave in meters?

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