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The disturbance of a wave propagating in the positive x-direction is y=1/((1+x)²) at t=0 and y=1/(1+(x-2)²) at t=1 s, with x and y in metres. The velocity of the wave is ______ m s⁻¹.

Asked in JEE Main 20th July 1st Shift 2021 · Identifying a travelling wave

Answer: 2

Step-by-step solution

The pulse keeps its shape, and its peak moves from x=0 to x=2 m in 1 s.

v=2/1=2 m s⁻¹.

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