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Question

The intensity of the light coming from one of the sites in a Young's double slit experiment in the intensity from the other slit. Determine the ratio of the maximum intensity to the minimum intensity in the interference fringe pattern observed.

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Solution

The intensity of the light originating from the first slit is double the intensity from the second slit. The amplitudes of the two interfering waves are in the ratio 2:1 , say 2A and A.

At the point of constructive interference, the resultant amplitude becomes (2+1)A. At the points of destructive interference , this amplitude is (21)A

The ratio of the resultant intensities at the maxima to that at the minima is
(2+1)A2(21)A2=3:4

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