Question

(a)
(1)
Write an expression for a pure progressive wave.
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Answer 1

A pure progressive wave can be represented by the equation y(x, t) = A sin(kx - ωt + φ), where y is the displacement, A is the amplitude, k is the wave number, ω is the angular frequency, and φ is the phase constant.

Step-by-step explanation:

A pure progressive wave can be represented by the equation:

y(x, t) = A sin(kx - ωt + φ)

Where:

• y is the displacement of the wave as a function of position (x) and time (t).
• A is the amplitude of the wave, which represents the maximum displacement from the equilibrium position.
• k is the wave number, which determines the wave's spatial frequency.
• ω is the angular frequency, which determines the wave's temporal frequency.
• φ is the phase constant, which determines the initial displacement of the wave.

This equation describes a sinusoidal wave that propagates in the positive x-direction with a constant speed.

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