Question

The equation of a wave propagating along a stretched string is given by $Y=4\sin 2\pi \left[\right(t/0.02)-(x/100\left)\right]$, where $Y$ and $x$ are in cm and $t$ in second. Determine propagation constant.

Answer 1

General Equation of wave,

$y=A\sin 2\pi (t/T-x/\lambda )$

Comparing,

We get,

$\lambda =100cm$

Propagation constant is defined by$\left(k\right)=\frac{2\pi }{\lambda }$

$k=\frac{\pi }{50}{m}^{-1}$