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Wave in Negative X-Direction

A wave pulse ...

Question

A wave pulse moving to the right along the x-axis is represented by the wave function $y (x, t) = \frac{2.0}{(x - 3.0 t)^{2} + 1}$ , where x and y are in centimeters and t is in seconds. (The maximum pulse height is defined as maximum displacement along y-axis). Then

A

The maximum pulse height is decreasing with time

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B

The maximum pulse height is constant with time

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C

The speed of the pulse is 3.0 cm/s

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D

The speed of the pulse is 0.33 m/s

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Solution

The correct options are
B
The maximum pulse height is constant with time

C
The speed of the pulse is 3.0 cm/s

The maximum pulse height is 2.0 cm, when x - 3.0t = 0. It is constant.
Speed of the pulse = $\frac{coefficient of t}{coefficient of x} = 3.0 c m / s$

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