The intensity at the maximum in a Young's double slit experiment is I 0 . Distance between two slits is d =…

The intensity at the maximum in a Young's double slit experiment is I0. Distance between two slits is d=5λ, where λ is the wavelength of light used in the experiment. What will be the intensity in front of one of the slits on the screen placed at a distance D=10?
  1. I0
  2. I04
  3. 34I0
  4. I02

Solution

In YDSE Imax=I0
Path difference at a point in front of one of shifts is
x=dyD=dd2D=d22D     ( Herey= d 2 )
x=d2210d=d20=5λ20=λ4
Path difference is
ϕ=2πλΔx=2πλλ4
ϕ=π2
So intensity at that point is
I=Imaxcos2θ2
I=I0cos2π4=I02

Asked in: NEET 2016 (Phase 1)

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