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Wave Equation

The amplitude...

Question

The amplitude of a wave disturbance propagating in the positive x-direction is given by $y = \frac{1}{1 + x^{2}}$ at t = 0 and $y = \frac{1}{[1 + (x - 1)^{2}]}$ at t = 2s. the wave speed is

A

1 m/s

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B

1.5 m/s

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C

0.5 m/s

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D

2 m/s

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Solution

The correct option is C
0.5 m/s

$A t t = 2 s y = \frac{1}{[1 + (x - 1)^{2}]} o r x - v t = x - 1 \Rightarrow 1 = v t \Rightarrow 1 = v \times 2 \Rightarrow v = 0.5 m / s$

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