Let `y=1/(1+x^(2))` at t=0 s be the amplitude of the wave propogating in the positive x-direction. At t=2 s, the amplitude of the wave propogating becomes `y=1/(1+(x-2)^(2))`. Assume that the shape of the wave does not change during propogation. The velocity of the wave is

Options

A. `0.5 ms^(-1)`
B. `1.0 ms^(-1)`
C. `1.5 ms^(-1)`
D. `2.0 ms^(-1)`

Answer

B

Explanation

Amplitude `y=(1)/(1+x^(2))` at x=0
Amplitude at t=2s
`y=(1)/(1+(x-2)^(2))`
`v=(Deltay)/(Delta t) =(2)/(2)=1.0 ms^(-1)`