Wave Mechanics Vibration Of String Question 13

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

[UPSEAT 2000; Pb. PET 2004; CPMT 2005]

Options:

A) $ \lambda =\frac{n^{2}}{2l} $

B) $ \lambda =\frac{l^{2}}{2n} $

C) $ \lambda =\frac{2l}{n} $

D) $ \lambda =2l\ n $

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Answer:

Correct Answer: C

Solution:

$ \lambda =\frac{2l}{p} $ (p = Number of loops)