Amplitude relation with periodic time

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SUMMARY

The discussion centers on the relationship between frequency, periodic time, wavelength, and amplitude in sound waves. A wave with a frequency of 100 Hz has a periodic time of 0.01 seconds, while a wave with a frequency of 500 Hz has a periodic time of 0.002 seconds. The participant concludes that the wave with the lower frequency (100 Hz) has a longer wavelength, thus its crests are farther apart. However, the participant seeks clarification on the relationship between periodic time, wavelength, and amplitude, noting that amplitude is not directly addressed in the problem statement.

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  • Understanding of wave properties, specifically frequency and periodic time
  • Knowledge of the relationship between wavelength and frequency
  • Familiarity with sound wave equations, including wave velocity
  • Basic concepts of amplitude in wave physics
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SakuRERE
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Homework Statement


Ql: Which sound wave will have its crests farther apart from each other - a wave with frequency 100 Hz or a wave with frequency 500 Hz?

Homework Equations


Frequency= 1/ periodic time

The Attempt at a Solution


I did it like that:
I just found the periodic time for each wave, substituting in the previous relation. and I ended up with :
first wave (500Hz) => 0.002 s
second wave (100 Hz) => 0.01 s

which means that the second has larger wavelength making it ~slower (if we can say), and the first one with a larger wavelength.
however, I still can't reach the crest (amplitude) using the given information!

is there any relation between the periodic time and the amplitude?
or the wavelength and the amplitude?

thanks in advance
 
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I read the question's use of "farther apart" as relating to distance. You would then need an equation that involves some sort of length.
 
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SakuRERE said:
is there any relation between the periodic time and the amplitude?
or the wavelength and the amplitude?
You ask about amplitude there in what I quoted and in your thread title, but it is not in the problem statement as far as I can see. Is there more to the problem statement?
 
Look in your textbook for the equation that relates a waves velocity, frequency and wavelength.
 

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