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Paragraph: In a young double slit experiment. The two slits are illuminated by a monochromatic light source S of wavelength =500 ~nm . Distance between slits and screen is D =2 ~m and distance between two slits S ₁ ~S ₂=10 m ₁=20 m and ₂= m , as shown in the figure. Answer the following questions on the basis above data. Question: What should be minimum thickness of a slab of refractive index =1.5 will be placed on t

Options

  1. A= ⁻¹ [2 ( n 40 -1 ) ]
  2. B= ⁻¹ [2 ( n 20 -1 ) ]
  3. C= ⁻¹ [ ( n 40 -1 ) ]
  4. D= ⁻¹ [ ( n 20 -1 ) ]

Correct answer

A. = ⁻¹ [2 ( n 40 -1 ) ]

Step-by-step solution

Optical path difference between the beans arriving at P x= ( ₂- ₁ )+d for maxima aligned & ( ₂- ₁ )+d =n & = 1 d [n - ( ₂- ₁ ) ] & = ⁻¹ [2 ( n 40 -1 ) ] aligned

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