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(kx), the value of kx 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 2π radians. How many radians would the shift of half a wavelength from the previous part correspond to?

radian

Explanation:

We are given that

Wavelength=

We have to find the phase difference when the wavelength is equal to half of the initial wavelength.

Path difference=

For interference

Phase difference=

Substitute the value

Phase difference=

Phase difference= radian

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