Question

A student standing in a canyon yells "echo", and her voice produces a sound wave of frequency of f = 0.76 kHz. The echo takes t = 4.1 s to return to the student. Assume the speed of sound through the atmosphere at this location is v = 328 m/s. What is the wavelength of the sound wave?

Answer 1

The wavelength of a sound wave with a frequency of 0.76 kHz and a speed of sound of 328 m/s is calculated using the formula λ = v / f, resulting in a wavelength of 0.4316 meters.

Step-by-step explanation:

The student's question is about finding the wavelength of a sound wave given its frequency and the speed of sound. To calculate the wavelength (λ) of a sound wave, the formula λ = v / f can be used, where v is the speed of sound and f is the frequency of the sound wave.

Given the frequency f = 0.76 kHz (which is 760 Hz as 1 kHz = 1000 Hz) and the speed of sound v = 328 m/s, the wavelength λ can be calculated as follows:

λ = v / f

λ = 328 m/s / 760 Hz

λ = 0.4316 m

Therefore, the wavelength of the sound wave is 0.4316 meters.