Paragraph: At a time t=0 a pulse moving in the +v e x -direction with velocity v in the shape given by the function between with y= array ll x 4 +1 & -4 x 0 -x+1 & 0 x 1 0 & otherwise array . , where x and y are in cm . Question: If velocity is 10 ~m / s , which of the graphs shows the shape and position of the string at a time t = 1 millisec

Step-by-step solution

At t =0 velocity of wave =10 ~m / s . Thus pulse get shifted by (10 10⁻³ ) m Wave equation; obtained by replacing x by ( x-v t ) Pulse reaches x =20 ~m at t =2 sec First half of the wave reaches at t =1.999 sec ; V = particle = d x d t =v_ wave =10 ~m / s Second half of the wave reaches at t =2 & leaves at t =2.004 sec ; V = 1 4 d x d t =- 5 2