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A wave is traveling at 36 m/s. If its wavelength is 12 m, how many times does a wavelength move across a set point every second?

a.)one time
b.)three times
c.)twelve times
d.)thirty-six times

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MissPhiladelphia
Basically, what is asked here is the frequency in per second. This could be calculated by dimensional analysis, such that the remaining unit is 1/s.

[tex]36 m/s\ / \ 12 m = 3\ s^{-1} [/tex]

Thus, the answer is three times. Letter B.

I hope I was able to give a good explanation. Thank you.

The number of times does a wavelength move across a set point every second for the given wave is three times. Option b is correct.

What is the wavelength of the wave?

Wavelength is the distance between two points of the two consecutive waves. It can be given as,

[tex]\lambda =\dfrac{v}{f}[/tex]

Here, (v) is the speed of the wave and (f) is the frequency.

The wave is traveling at 36 m/s. Therefore, the speed of the wave is 36 m/s. The wavelength of the wave is 12 m. Thus, the frequency of the wave can be found out using the above formula as,

[tex]12=\dfrac{36}{f}[/tex]

Solve it for the frequency as,

[tex]f=\dfrac{36}{12}\\f=3\rm Hz[/tex]

Now, the frequency of wave is the number of waves, which is passed thorough a particular point at a unit time. It can also be described as the the number of times, a wavelength move across a set point every second.

Hence, the number of times does a wavelength move across a set point every second for the given wave is three times. Option b is correct.

Learn more about the wavelength here;

https://brainly.com/question/10728818

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