A student standing in a canyon yells "echo" and her voice produces a s

Ashley Bell

Ashley Bell

Answered question

2021-12-30

A student standing in a canyon yells "echo" and her voice produces a sound wave of the frequency of f=0.54 kHz. The echo takes t=4.8s to return to the student. Assume the speed of sound through the atmosphere at this location is v=328 m/s
a) what is the wavelength of the soundwave in meters?
b) input the expression for the distance, d, the canyon wall is from the student. (answer should look like d="

Answer & Explanation

Lynne Trussell

Lynne Trussell

Beginner2021-12-31Added 32 answers

Given values;
λ= wavelength of sound
d= distance from to student
f=0.54 kHz=540Hz
y=4.8 s
v=328 ms
Here the wavelength of sound is given by;
λ=vf
λ=328 ms540 Hz
λ=0.61 m
The wavelength we found is of soundwave
d=vt2
d=328×4.82
d=787.2 m

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