Physics - Wave on String Question with Solution | TestHub

The standard equation of a standing wave is $y=2A\sin (kx)\cos (\omega t)$ On comparing with standard equation, $\omega =600\pi {\mathrm{s}}^{-1}$ and $k=\frac{\pi }{10}$ The wavelength of the wave can be obtained by using the wave number: $k=\frac{2\pi }{\lambda }=\frac{\pi }{10}$ The wavelength is $\lambda =20\mathrm{cm}$ Frequency of the third harmonics is three times the fundamental. Therefore, length of the string is: $L=3\left(\frac{\lambda }{2}\right)=3(10)=30\mathrm{cm}$