Question

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?

Answer 1

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

$4m/s = 2.5m X f\\\\f = \frac{4}{2.5} \\\\f = 1.6$

Therefore, frequency of the waves is 1.6Hz

To calculate the time:

frequency, f = 1/ time period, T

Thus,

$T = \frac{1}{f} \\\\T = \frac{1}{1.6} \\\\T = 0.625s$

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

Answer 2

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  

$\bold {f = \dfrac {4m/s} { 2.5m}}\\\\\bold {f = 1.6 Hz}$

Therefore, frequency of the waves is 1.6Hz.

(B) The time taken:

The frequency is the number of waves per second.    

So,

$\bold{T = \dfrac {1}{f}}\\\\\bold{T = \dfrac {1}{1.6} }\\\\\bold{T = 0.625\ s}$  

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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