JEE Advanced2009PhysicsWave OpticsActual
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
- A(A) q,t, (B) q, (C) t, (D) r,s,t
- B(A) q,r,s, (B) r, (C) q,r, (D) q,s,t
- C(A) p,s, (B) r, (C) q,t, (D) r,s
- 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