Question

An ocean wave usually occurs at a frequency of 0.2 Hz. What is the period of each wave.

Answer 1

5 seconds

Step-by-step explanation

A wave is a disturbance in a medium that carries energy without a net movement of particles, the frequency is the number of waves that pass a fixed point in unit time

it is written as:

`\begin{gathered} frequency=\frac{number\text{ ofwaves\lparen1\rparen}}{time\text{ \lparen second\rparen}} \\ (1)/(s)=\text{ 1 Hert \lparen1Hz\rparen} \\ the\text{ unit ofr frequency is hertz} \end{gathered}`

and the wave period is the time it takes to complete one cycle ,it is inversely proportional to the frequency of a wave, we can find the period using the formula

`\begin{gathered} Perido\text{ \lparen T\rparen=}(1)/(Frequency(f)) \\ T=(1)/(f) \end{gathered}`

Step 1

given:

`Frequency\text{ =0.2 HZ}`

now, replace in the formula

`\begin{gathered} T=(1)/(f) \\ T=\frac{1}{0.2\text{ HZ}} \\ T=5\text{ seconds} \end{gathered}`

therefore, the Period is 5 seconds

I hope this helps you