Question

The variation of density of medium for a sound wave propagating with a speed of 340 m s^-1 is shown in Fig. 10.32. Calculate the wavelength and frequency of the sound wave.

Answer 1

Given:

Distance for two wavelengths ($2\lambda$) = 8 cm

Speed of sound wave ($v$) = 340 m s^-1

Calculation for Wavelength ($\lambda$):

$$2\lambda = 8 \text{ cm}$$

$$\lambda = 4 \text{ cm}$$

$$\lambda = 0.04 \text{ m}$$

Calculation for Frequency ($f$):

$$f = \frac{v}{\lambda}$$

$$f = \frac{340}{0.04}$$

$$f = 8500 \text{ Hz}$$