The disturbance y(x, t) of a wave propagating in the positive x -direction is given by y= 1 1+x^2 at time t=0 and by y= 1 [1+ (x-1^2 ) ] at t=2 ~s , where x and y are in meters. The shape of the wave disturbance does not change during the p

Question

The disturbance y(x, t) of a wave propagating in the positive x -direction is given by y= 1 1+x^2 at time t=0 and by y= 1 [1+ (x-1^2 ) ] at t=2 ~s , where x and y are in meters. The shape of the wave disturbance does not change during the propagation. The velocity of wave in m / s is

Quantrex Academy · Accepted Answer

Correct answer: C. 0.5

The equation of wave at any time is obtained by putting X =x- vt y = 1 1+x^2 = 1 1+(x-v t)^2 We know at t=2 sec , y= 1 1+(x-1)^2 On comparing (i) and (ii) we get v t=1 V= 1 t As t=2 sec V= 1 2 =0.5 ~m / s .

The disturbance y(x, t) of a wave propagating in the positive x -direction is given by y= 1 1+x^2 at time t=0 and by y= 1 [1+ (x-1^2 ) ] at t=2 ~s , where x and y are in meters. The shape of the wave disturbance does not change during the propagation. The velocity of wave in m / s is

Options

Correct answer

Step-by-step solution

More from Waves and Sound