Question #ce1a2

1 Answer
Jul 29, 2016

Answer:

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)#.