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Three coherent sources S(1), S(2)" and" ...

Three coherent sources` S_(1), S_(2)" and" S_(3)` can throw light on a screen. With `S_(1)` switched on intensity at a point P on the screen was observed to be I. With only`S_(2)` on, intensity at P was 2I and when all three are switched on the intensity at P becomes zero. Intensity at P is I when `S_(1)" and" S_(2)` are kept on. Find the phase difference between the waves reaching at P from sources `S_(1) "and" S_(3)`.

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The correct Answer is:
`pi/2`
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