Adolphin emits ultrasound at 100khz and uses the timing of reflections to determine the position of objects in the water.

what is the wavelength of this ultrasound? assume that temperature of water is 20 degrees c. answer in cm

The speed of a wave (the sound in this case) is given by the following formula:

  (1)

Where:

is the frequency

the wavelength

It is known that the speed of sound in water at is:

So, we only have to find  from (1):

  (2)

Knowing :

But we were asked to find the wavelength in cm and we have to make the conversion:

Hence: