Question

Determine the wavelength of a sound wave with speed 344 ms-1 and frequency 120kHz..

Answer 1

The relationship between the frequency, wavelength and speed of sound or velocity is given as follows.

Frequencyν=  

wavelengthλ

wave velocityv

​  

 

From the above equation, wavelength is derived as, Wavelengthλ=  

Frequencyν

wavevelocity v

​  

 

In the question, the velocity of sound is 344 m/s and frequency=120 kHz = 120×10  

3

Hz is given.

Therefore,

Wavelengthλ=  

ν

v

​  

=  

120×10  

3

Hz

334m/s

​  

=2.87×10  

−3

m.

Hence, the wavelength of the sound wave is given as 2.87×10  

−3

m.