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

Let y=1/(1+x^(2)) at t=0 s be the amplitude of the wave propogating in

1.	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
Answer» `0.5 ms^(-1)` `1.0 ms^(-1)` `1.5 ms^(-1)` `2.0 ms^(-1)` Solution :`1.0 ms^(-1)` The general EXPRESSION y in terms of x `y = (1)/(1 + (x - vt)^(2))` The shape of the wave does not change: ALSO wave move in 2 SEC, 2m in positive .x. direction. So, wave moves 2m in 2 sec. `therefore`The velocity of the wave =`("displacement")/("time") = (2)/(2) : v = 1 ms^(-1)`