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 p

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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 &#160; 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 &#160; s - 1 .

Quantrex Academy · Accepted Answer

Correct answer: 2

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 &#160; &#8230; ( i ) At t = 1 , y = 1 1 + ( x - 2 ) 2 &#160; &#8230; ( ii ) Comparing ( i ) &#160; and &#160; ( ii ) v = 2 &#160; m &#160; s - 1

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 .

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