Question #ce1a2

1 Answer
P dilip_k
Jul 29, 2016

String will not form loops.

Explanation:

If we observe the formation of stationary wave forms of different frequencires or wave lentgths in the streched strings as shown in the given figure,we see that to produce a stationary wave the antinode is first created by plucking the string in such a way that intgral number of loops are formed in the whole length(l)of the streched string.

Now length of one loop is equal to half of wave length lambda
So

l=(nlambda)/2,"where "n =1,2,3.....

Again the plucking of string should be done at a distance d=lambda/4 from any end of the string.

So l=(nlambda)/2=(2nlambda)/4=2nd

:.d=l/(2n)

If d=l/3

then l/3=l/(2n)=>n=3/2->"Impossible"

So to creat stationary wave color(red)(l) must be even multiple of color(blue)( d).

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