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Question


In given YDSE experiment a plane wavefront of λ=600 nm is incident on slits at angle θ=30 as shown in figure. Slit separation is d=0.5 mm, then

A
We get maximum intensity at O
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B
Central maxima is D3 distance above O on screen
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C
Central maxima is D2 distance above O on screen
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D
Intensity at O is not zero
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Solution

The correct options are
B Central maxima is D3 distance above O on screen
D Intensity at O is not zero

For central maxima

Δx1=Δx2

d sin θ=d sin α

d2=dyy2+D2y2+D2=4y2

D2=3y2

y=D3

Path difference at O is =Δx1

Δx1=d sin θ=d2

If Δx1=nλ,

n×600 nm=0.52 mm

On solving, n is not integer i.e. no maxima at O.

Also, Δx1=(2n1)λ2 does not gives n as integer.

So no minima.

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