Question

A stretched string of length $ l, $ fixed at both ends can sustain stationary waves of wavelength given by

• A. $ \lambda =\frac{{{n}^{2}}}{2l} $
• B. $ \lambda =\frac{{{I}^{2}}}{2n} $
• C. $ \lambda =\frac{2l}{n} $
• D. $ \lambda =2\ln $

Answer 1

Answer: (C)

$ \lambda =\frac{2l}{n}, $
where $ n= $ number of loops.
at $ n=1 $ $ \lambda =2l $ at $ n=2 $
$ \lambda =\frac{2l}{2} $ at $ n=3 $
$ \lambda =\frac{2l}{3} $ at $ n=n $
$ \lambda =\frac{2l}{n} $