If the wavelength of a sound wave increases and the frequency of the sound wave does not change what happens to the speed of the wave?

a. it will stay the same

b. it will decrease

c. it cannot be determined

d. it will increase

If the wavelength of a sound wave increases and the frequency of the sound wave does not change, the speed of the wave will increase.

Ans: D

Explanation

The sound wave speed is given by E=fλ, where f indicates its frequency and λ indicates its wavelength.

From the equation, it is evident that the sound speed is proportional to both frequency and wavelength.

Here, as wavelength increases, wave speed increases provided there is no change in frequency.