Wave OpticsHard

Question

Two coherent narrow slits emitting light of wave length in the same phase are placed parallel to each other at a small separation of 3λ. The light is collected on a screen A which is placed at a distance D (>> λ) from the slits. The smallest dist such that the P is a maxima.   

Options

A.√3D
B.√8D
C.√5D
D.√5

Solution


In this case path difference is d cos θ.
So nλ = λ = 3 cos θ ⇒ cos θ =
⇒ ⇒3D =
⇒ y = √8D = 2 √2D

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