Physics - Wave on String Question with Solution | TestHub

The given equation can be written as

$\mathrm{y}=4\sin \left(4\mathrm{\pi t}-\frac{\mathrm{\pi x}}{16}\right)$

Wave velocity is given by

$\Rightarrow$$\mathrm{v}=\frac{\mathrm{Coefficient} \mathrm{of}\mathrm{ }\mathrm{t} \left(\mathrm{\omega }\right)}{\mathrm{Coefficient} \mathrm{of} \mathrm{x} \left(\mathrm{K}\right)}$

$\Rightarrow$$\mathrm{v}=\frac{4\mathrm{\pi }}{\frac{\mathrm{\pi }}{16}}=64 \mathrm{cm} {\mathrm{s}}^{-1}$along$+\mathrm{x}$direction.