A Simple Introduction to Interference Learning Goal: To understand the basic pri

Question

A Simple Introduction to Interference Learning Goal: To understand the basic principles underlying interference One of the most important properties of waves is the of 3 Figure 1 1m 2m 3m O O previous l 1 of 4 l next How far Az to the left would the original sinusoidal wave have to be shifted to give a wave that would completely cancel the original? The variable in the picture denotes the wavelength of the wave. Express your answer in terms of A. Az Submit My Answers Give Up Correct Part D In talking about interference, particularly with light, you will most likely speak in terms of phase differences, as well as wavelength differences. In the mathematical description of a sine wave, the phase corresponds to the argument of the sine function. For example, in the function y Asin(ka), the value of kac at a particular point is the phase of the wave at that point. Recall that in radians a full cycle (or a full circle) corresponds to 21T radians. How many radians would the shift of half a wavelength from the previous part correspond to? Express your answer in terms of T. phase difference radians.

Explanation / Answer

phase difference =   (wave number 1 - wave number 2) * wavelength

                             = k * * /2   radians

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