1.

Two coherent point sources S_1 " and "S_2 vibrating in phase light of wavelength lambda. The separation between the sources is 2lambda. The smallest distance from S_(2) on a line passing through S_2 and perpendicular to s_(1)s_(2) where a minimum of intensity occurs is

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Solution :Path difference at `s_(2)" is "2lambda`. Therefore for MINIMUM intensity at P let x be the minimum distance from `s_(2)`. Then
`s_(1)P-s_(2)P= (3lambda)/(2) ne (lambda)/(2)"………"(1)`
or `SQRT(4lambda^(2)+ x^(2))-x= (3lambda)/(2)`
Solving this equation we get `x= (7lambda)/(12)`
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