Question

Waves moving on a lake have a speed of 3 m/s and a distance of 1.75 m between adjacent crests. a. What is the frequency of the waves? b. What is the period of the waves?

Answer 1

Given:

The speed of the wave is,

`v=3\text{ m/s}`

The distance between adjacent crests is,

`1.75\text{ m}`

To find:

a) What is the frequency of the waves?

b) What is the period of the waves?

Step-by-step explanation:

a) The horizontal distance between two adjacent crests or troughs is known as the wavelength.

The wavelength is,

`\lambda=1.75\text{ m}`

The frequency is,

`\begin{gathered} f=(v)/(\lambda) \\ =(3)/(1.75) \\ =1.71\text{ Hz} \end{gathered}`

Hence, the frequency is 1.71 Hz.

b)

The period of waves is,

`\begin{gathered} T=(1)/(f) \\ =(1)/(1.71) \\ =0.58\text{ s} \end{gathered}`

Hence, the period of waves is 0.58 s.