Question

Question #ce1a2

Answer 1

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)`.