Question

If an ocean wave passes a stationary point every 5 s and has a velocity of 10 m/s, what is the wavelength of the wave

Answer 1

As Per Provided Information

Velocity of wave v is 10m/s

These ocean wave passes a stationary point every 5 s ( It's time period)

First we calculate the frequency of ocean wave .

Using Formulae

`\blue{\boxed{\bf \: \\u = \cfrac{1}{v}}}`

here

v is the velocity of wave .

`\sf\longrightarrow \\u \: = \cfrac{1}{10} \\ \\ \\ \sf\longrightarrow \\u \: = 0.1Hz`

Now calculating the wavelength of the wave .

Using Formulae

`\boxed{ \bf \lambda = \cfrac{v}{ \\u}}`

Substituting the value and we obtain

`\sf \longrightarrow \lambda \: = \cfrac{10}{0.1} \\ \\ \\ \sf \longrightarrow \lambda \: = \cancel\cfrac{10}{0.1} \\ \\ \\ \sf \longrightarrow \lambda \: =100m`

Therefore,

• Wavelength of the wave is 100 metres.