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In the figure $S_{1} a n d S_{2}$ are two identical coherent sources of light. $D > > λ$ (wavelength) and screen is very large. If a detector starts from A and moves along the screen along line AP upto an infinite distance then find total number of minima detected by the detector.

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answer is 8.

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Detailed Solution

$A t A, Δ x = 5 λ$

$A t O, Δ x = O$

$A t \infty d i s \tan c e Δ x = 5 λ \sin 37 ° = 3 λ$

$∴$ No. of minima between A and O = 5

No. of minima beyond point O =3

$∴$ Total no. of minima = 8

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