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Assuming that the intensity of light coming out of each slit is equal, when a phase difference is introduced between them, the resultant intensity at any point on the screen will depend on the phase difference between the two waves.
Let's consider the two waves coming out of S and S' as A and B respectively. The intensity of the combined wave can be given by:
I = I1 + I2 + 2√(I1*I2)cos(δ)
where I1 and I2 are the intensities of A and B respectively, and δ is the phase difference between them.
If the phase difference δ is a multiple of π (i.e. δ = 0, π, 2π, etc.), the cosine term becomes +1 and the resultant intensity is maximum. These points on the screen where the intensity is maximum are called interference maxima.
Now, if the phase difference between the two waves is changed, the locations of the interference maxima will also change. If the phase difference changes by π, the intensity at the interference maxima will decrease to zero. This is because the cosine term in the above equation becomes -1.
Therefore, if initially, the intensities of the two waves coming out of S and S' are equal, the interference maxima will be observed at regular intervals on the screen. But if the phase difference between them is changed, the intensity at these interference maxima will change accordingly.

In the young double slit experiment initially, equal intensities are coming out of the two slits S and S now
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