Q)
(chatquestion)...Example 17.64) A string fixed at both ends has consecutive
standing wave modes for which the distances between adjacent
nodes are 18 cm and 16 cm respectively.
(i) What is the minimum possible length of the string?
(ii) If the tension is 10 N and the linear mass density is 4 gm
what is the fundamental frequency?
Sol. (i)
16 cm
n+1 loops
n loops
18 cm
Let / be the length of the string. Then
...(i)
18n =1
%3D
... (i)
16 (n + 1) = 1
...