Question

To navigate, a porpoise emits a sound wave that has a wavelength of 2.2 cm. The speed at which the wave travels in seawater is 1522 m/s. Find the period of the wave.

Answer 1

To solve this problem we will apply the concept related to frequency, by which it is defined as the relationship between the speed of the wave and the wavelength. Since the frequency is the inverse of the period, this relationship will also be reversed. That is to say,

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

Here,

v = Velocity

$\lambda$ = Wavelength

Now the period is defined as,

$T = \frac{1}{f}$

Therefore

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

Replacing we have that,

$T = \frac{2.2*10^{-2}}{1522}$

$T = 1.445*10^{-5}s$

Therefore the period of the wave is $1.445*10^{-5}s$