Question

write a note on sine wave travelling along a string..........​

Answer 1

hope it works ✌️

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Answer 2

First, let's write the sine wave in terms x', the coordinate moving with the wave. Concentrate on the red axes (x',t): we have a sinusoidal variation as x' varies but, in this moving frame, the curve doesn't vary with time. In this example y and x are displacement of the string and position along the string, so they are both lengths. So we can't simply write down y  =  sin x, because both the sine function and its argument are dimensionless numbers (revise Dimensions and units). So we must multiply the sine function by a constant and divide x by a constant, both constants having the dimension of length. Therefore let's write the stationary sine wave like this:

$\bold{y = Asin\frac{2\pi X'}{\lambda}}$