The amplitude of wave disturbance propagating in the positive x -direction is given by y = 1 ( 1 + x ) 2 at time t = 0 and y = 1 1 + ( x - 2 ) 2 at t = 1 s , where x and y are in metres. The shape of

Question

The amplitude of wave disturbance propagating in the positive x -direction is given by y = 1 ( 1 + x ) 2 at time t = 0 and y = 1 1 + ( x - 2 ) 2 at t = 1 s , where x and y are in metres. The shape of wave does not change during the propagation. The velocity of the wave will be m s - 1 .

TestHub · Accepted Answer

At t = 0 , y = 1 1 + x 2 At time t = t , y = 1 1 + ( x - v t ) 2 At t = 1 , y = 1 1 + ( x - v ) 2 … ( i ) At t = 1 , y = 1 1 + ( x - 2 ) 2 … ( ii ) Comparing ( i ) and ( ii ) v = 2 m s - 1

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