Question

A loudspeaker located in air generates sound waves of frequency 1,000 Hz. Some of these sound waves enter a pool of water, where the speed of sound is 1,400 m/s. What is the wavelength of the sound waves in water?

Answer 1

1.4 m

Step-by-step explanation:

v = Speed of sound in water = 1400 m/s

f = Frequency of sound = 1000 Hz

`\lambda` = Wavelength

When we multiply the frequency and the wavelength of a wave we get the velocity of sound in that medium

`v=f\lambda\\\Rightarrow \lambda=(v)/(f)\\\Rightarrow \lambda=(1400)/(1000)\\\Rightarrow \lambda=1.4\ m`

The wavelength of the sound waves in water is 1.4 m