In a particular vibrating mode of a stretched string of length l clamped at both the ends, n nodes are formed . What is the wavelength of the stationary wave formed in this mode ?

Answer

Both the end points are nodes. So, the number of loops formed between the n nodes = n - 1 . Every loop has a
length ` = (lambda)/(2) * "So"(lambda)/(2) or, lambda = (2l)/(n - 1) * `