Question

(iv) A standing wave is produced on a string fixed at one end
and free at other. The length of string must be an_
(a) odd integral multiple of -
(b) integral multiple of
(c) integral multiple of 2.
(d) integral multiple of​

Answer 1

Answer:

a) odd intern multiple of-

Answer 2

A standing wave is produced on a string fixed at one end and free at other having a  length which is an :

(b) integral multiple of λ / 4

The length can be calculated as follows:

• As per the question, the string is fixed at only one end

• Therefore, the standing waves are produced if-

        ν = (n+½)v/2L

        L = (n+½)/2

           =(2n+1)*/4

• Here, n = 0, 1, 2, 3, ....

• Thus, the length must be an integral multiple of λ / 4.