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Column I shows four situations of standard Young's double slit arrangement with the screen placed far away from the slits S₁ and S₂ . In each of these cases S₁ P₀=S₂ P₀ , S₁ P₁-S₂ P₁= 4 and S₁ P₂-S₂ P₂= 3 , where is the wavelength of the light used. In the cases B , C and D , a transparent sheet of refractive index and thickness t is pasted on slit S₂ . The thickness of the sheets are different in different cases. Th

Options

  1. A(A) q,t, (B) q, (C) t, (D) r,s,t
  2. B(A) q,r,s, (B) r, (C) q,r, (D) q,s,t
  3. C(A) p,s, (B) r, (C) q,t, (D) r,s
  4. D(A) p,s, (B) q, (C) t, (D) r,s,t

Correct answer

D. (A) p,s, (B) q, (C) t, (D) r,s,t

Step-by-step solution

(A) ( p , s ) Intensity at P₀ is maximum. It will continuously decrease from P₀ towards P₂ . (B) (q) Path difference due to slap will be compensated by geometrical path difference. Hence, (P₁ )=0 . ( C ) ( t ) (P₀ )= 2 , (P₁ )= 2 - 4 = 4 and (P₂ )= 2 - 3 = 6 . When path difference increases from 0 to 2 , intensity will decrease from maximum to zero. Hence, in this case, I (P₂ )>I (P₁ )>I (P₀ ) ( D ) ( r , s , t ) (P₀ )= 3 4 , (P₁ )= 3 4 - 4 = 2 and (P₂ )= 3 4 - 3 = 5 12 In this case I (P₁ )=0

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