Length of a string tied to two rigid supports | vedclass

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(B) For a string fixed at both ends,the length $L$ of the string is related to the wavelength $\lambda$ by the formula $L = n \frac{\lambda}{2}$,where

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$80$

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(B) For a string fixed at both ends,the length $L$ of the string is related to the wavelength $\lambda$ by the formula $L = n \frac{\lambda}{2}$,where $n = 1, 2, 3, \dots$ is the harmonic number.The wavelength $\lambda$ is given by $\lambda = \frac{2L}{n}$.To obtain the maximum wavelength,we must choose the smallest possible value for $n$,which is $n = 1$ (the fundamental mode).Substituting $n = 1$ and $L = 40 \ cm$:$\lambda_{max} = \frac{2 	imes 40 \ cm}{1} = 80 \ cm$.

Length of a string tied to two rigid supports is $40 \ cm$. The maximum wavelength (in $cm$) of a stationary wave produced on it is ... $cm$.

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