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What is the wavelength of the sound waves?

  • Thread starter look416
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  • #1
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Homework Statement


a stationary sound wave has a series of nodes. The distance between the first and the sixth node is 30.0 cm. What is the wavelength of the sound waves?


Homework Equations





The Attempt at a Solution


well no idea about it
but in my attempt to solve it, i tried assuming 2L = [tex]\lambda[/tex]
but there are 6 nodes so [tex]\lambda[/tex] = [tex]\frac{1}{3}[/tex]L
by substituting the value of dist, i get [tex]\lambda[/tex] = 10cm
which is wrong. the ans is 12.0 cm
i wonder how to solve it
 

Answers and Replies

  • #2
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Try drawing yourself a diagram of the problem (ie just draw a wave going through six nodes), you should be able to solve it a bit more easily once you can visualise it.
 
  • #3
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Your current working is neglecting the fact that there are two nodes at either end of this hypothetical wave. (kind of analogous to a similar problem you are probably familiar with - ie if a farmer had 100m of wire to build a fence and he could place the posts 2m apart, how many posts would he need?)
 
  • #4
87
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i think i know it
probably i should count the between one
so it should be [tex]\frac{2}{5}[/tex] L = [tex]\lambda[/tex]
by computing it
i get 12.0 cm
yeah
thx all of you
 

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