A buoy bobs up and down in the ocean. The waves have a wavelength of 2.5 m, and they
pass the buoy at a speed of 4.0 m/s. What is the frequency of the waves? How much time
does it take for one wave to pass under the buoy?

The frequency of the wave is 1.6Hz and time taken by the wave to pass the buoy is 0.625 seconds.

Given here,  

Wavelength, λ = 2.5m  

Speed, v = 4m/s  

Frequency, f = ?  

Time period, T = ?  

(A)Frequency of the wave can be calculated by the formula,  

v = f X λ  

Therefore, frequency of the waves is 1.6Hz.

(B) The time taken:

The frequency is the number of waves per second.    

So,

Therefore, The frequency of the wave is 1.6Hz and time taken by the wave to pass the buoy is 0.625 seconds.

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Frequency of the waves is 1.6Hz

Time taken by the wave to pass the buoy is 0.625 seconds.

Explanation:

Given-

Wavelength, λ = 2.5m

Speed, v = 4m/s

Frequency, f = ?

Time period, T = ?

We know,

v = f X λ

Therefore, frequency of the waves is 1.6Hz

To calculate the time:

frequency, f = 1/ time period, T

Thus,

Therefore, time taken by the wave to pass the buoy is 0.625 seconds.

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