Question

Q5.Calculate the frequency of a sound wave which has wavelength of 0.7727m and a velocity of 340m/s

Answer 1

QUESTION:

Q5. Calculate the frequency of a sound wave which has wavelength of $\lambda_{\text{sound}} = 0.7727\,\text{m}$ and a velocity of $\upsilon_{\text{sound}} = 340\,\text{m/s}$

SOLUTION

For periodic waves, frequency has an inverse relationship to the concept of wavelength; simply, frequency is inversely proportional to wavelength $\lambda$ (lambda). The frequency $\nu$ is equal to the phase velocity $\upsilon$ of the wave divided by the wavelength $\lambda$ of the wave:

$$\nu = \frac{\upsilon_{\text{sound}}}{\lambda_{\text{sound}}}$$ $$\nu = \frac{340}{0.7727} = 440.02\,\text{Hz}$$

ANSWER:

$\nu = 440.02\,\text{Hz}$