Standing waves on a 16 mm long string that is fixed at both...

Transcript

0:00 Hello students.

00:01 So our question is standing waves on a 1 .6 m long string that is fixed at both and are seen at successive frequency of 36 hertz and go to what? what is the fundamental frequency? what is the wave speed? so we have to find out the fundamental frequency and second what is the speed of the wave.

00:20 So first the quantity is given to us that is length of the string which is 1 .6 m and we get successive frequency of 36.

00:34 And 42 harts so let's solve this first look we are making the standing waves will like this it is it is closed from both sides so for this the f1 is 36 huts and that is as equals to m fl so what is f l here fl is the fundamental frequency i'm writing here fl is fundamental frequency corresponding m is equal to one and then the next successive frequency will be f2 which is 42 hz and that is corresponding to the m plus 1 and here the m plus 1 fl okay so we can say that f2 by f1 f2 divided by f1 that is called fundamental and this is next successive frequency so this is equals to the value of his f plus m plus 1 fl and this is m f fl and this is m f f f and this is m f so this will equal to m plus 1 divided by m.

01:45 Okay so when we put the value of f so when we put the value of f1 which is 42 and the value of f1 is 36 so that is equals to m plus 1 divided by m and when we solve this this will be 1 .16m is equal to m plus 1 so this will be so from here we can write down it like this look 1 .5 minus m is equal to 1 and from here the value of m will be 2 so easily we can put this value in it m is equal to 2 now 36 is equal to m fl for this one okay so 36 the value of m we know this is 2 width as we have found out now and the fl so from here we can find out the 18 hertz and this is the fundamental frequency you know fl is the fundamental frequency as we have side this is fundamental frequency in second part we have to find out the speed wave of the speed speed speed so this is wave speed so this is equals to fl dot lambda 1 is the whole the webland hold the fundamental frequency okay, so the fl is 18 and the lambda 1 is 12...

Question

Standing waves on a 1.6-mm-long string that is fixed at both ends are seen at successive frequencies of 36 Hz and 42 Hz. What is the fundamental frequency? What is the wave speed?

Question

Standing waves on a 1.6-mm-long string that is fixed at both ends are seen at successive frequencies of 36 Hz and 42 Hz. What is the fundamental frequency? What is the wave speed?

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