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KCET2023PhysicsWave Optics

In the Young's double slit experiment, the intensity of light passing through each of the two double slits is 2 10⁻² Wm ⁻² . The screen-slit distance is very large in comparison with slit-slit distance. The fringe width is . The distance between the central maximum and a point P on the screen is x= 3 . Then, the total light intensity at the point is

Options

  1. A8 10⁻² Wm ⁻²
  2. B4 10⁻² Wm ⁻²
  3. C2 10⁻² Wm ⁻²
  4. D16 10⁻² Wm ⁻²

Correct answer

C. 2 10⁻² Wm ⁻²

Step-by-step solution

Given, x= 3 I₀=2 10⁻² Wm ⁻² for YDSE where D d, x=d Also x D = 3 D = D d 3 D = 3 d aligned & = 2 x= 2 d = 2 d 3 d = 2 3 = & I=4 I₀ ^2 ( 2 )=4 I₀ ^2 ( 2 3 1 2 ) & =4 I₀ ^2 ( 3 )=4 I₀ 1 4 aligned I=I₀=2 10⁻² ~W ~m ⁻²

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