Physics - Wave on String Question with Solution | TestHub

$\because y=4e^x\left(e^{-5t}\right)$(given)

$=4e^{x-5t}$

$\because$It is a form of$y=f\left(ax\pm bt\right)$

So, it represents a progressive wave, propagating in positive$\text{x}$-axis direction because coefficients of$x$and coefficient of$t$have opposite sign.

$\because$Speed of a wave,$v=\frac{\mathrm{C}\mathrm{o}\mathrm{e}\mathrm{f}\mathrm{f}\mathrm{i}\mathrm{c}\mathrm{i}\mathrm{e}\mathrm{n}\mathrm{t}\mathrm{ }\mathrm{o}\mathrm{f}\mathrm{ }t}{\mathrm{C}\mathrm{o}\mathrm{e}\mathrm{f}\mathrm{f}\mathrm{i}\mathrm{c}\mathrm{i}\mathrm{e}\mathrm{n}\mathrm{t}\mathrm{ }\mathrm{o}\mathrm{f}\mathrm{ }x}=\frac{5}{1}=5 {\text{m s}}^{-1}$