In the arrangement shown in Fig., slits `S_(1)` and `S_(4)`are having a variable separation Z. Point O on the screen is at the common perpendicular bisector of `S_(1) S_(2)` and `S_(3) S_(4)`. The minimum value of Z for which the intensity at O is zero isA. `(2 lambda D)/(d)`B. `(lambda D)/(2d)`C. `(lambda D)/(3d)`D. `(lambda D)/(d)`

In the arrangement shown in Fig., slits `S_(1)` and `S_(4)`are having

1.	In the arrangement shown in Fig., slits `S_(1)` and `S_(4)`are having a variable separation Z. Point O on the screen is at the common perpendicular bisector of `S_(1) S_(2)` and `S_(3) S_(4)`. The minimum value of Z for which the intensity at O is zero isA. `(2 lambda D)/(d)`B. `(lambda D)/(2d)`C. `(lambda D)/(3d)`D. `(lambda D)/(d)`
Answer» Correct Answer - d Intensity at O is zero if `delta//2 = pi//2`. That is, `delta = (2 pi)/(beta) (Z)/(2) = pi implies Z = beta =(lambda D)/(d)`

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