The amplitude of a wave disturbance propagating in positive direction of x - a x i s is given by y = 1 1 + x 2 at 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 dur

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The amplitude of a wave disturbance propagating in positive direction of x - a x i s is given by y = 1 1 + x 2 at 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 propagation. The velocity of the wave is

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Correct answer: A. 0 . 5 &#xA0; ms - 1

In a wave equation, x and t must be related in the form ( x - v t ) . Therefore, we rewrite the given equation as y = 1 1 + x - v t 2 For t = 0 , it becomes y = 1 1 + x 2 And for t = 2 , it becomes y = 1 1 + x - 2 v 2 = 1 1 + x - 1 2 ∴ 2 v = 1 or v = 0.5 m s - 1

The amplitude of a wave disturbance propagating in positive direction of x - a x i s is given by y = 1 1 + x 2 at 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 propagation. The velocity of the wave is

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