Standing waves

Question

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

Moderate

Solution

As string is fixed at both ends, so $\mathrm{\ell}=\frac{\mathrm{n\lambda}}{2};\phantom{\rule{1em}{0ex}}\mathrm{\lambda}=\frac{2\mathrm{\ell}}{\mathrm{n}}$ where n= 1,2,3, etc

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