Question

A wave is propagating along x axis. The displacement of the particles of the medium in z direction at t = 0 is given by $z=e^{-(x+2{)}^2}$ "x" is in metres. At t=1s, the same disturbance is given by $z=e^{-(x-2{)}^2}$. Find magnitude and direction of wave propagation velocity.

Answer 1

1.Magnitude of velocity

at t=0 , x+vt=x+2 $\Rightarrow$vt=2

at t=1 sec, x-v(1-t)=x-2$\Rightarrow$v=4m/sec

2. Direction the wave is moving in Positive direction .