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Wave Optics question

2009 · Shift 2 · Q49
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Wave Optics question

2009 · Shift 2 · Q49

JEE AdvancedPhysicsWave OpticsMCQ+3 / −1

Column I shows four situations of standard Young's double slit arrangement with the screen placed far away from the slits S 1_11​ and S 2_22​. In each of these cases, S 1_11​ P 0_00​ = S 2_22​ P 0_00​, S 1_11​ P 1−_1-1​− S 2_22​ P 1_11​=λ/4\lambda/4λ/4 and S 1_11​ P 2−_2-2​− S 2_22​ P 2_22​=λ/3\lambda/3λ/3, where λ\lambdaλ is the wavelength of the light used. In the cases B, C and D, a transparent sheet of refractive index μ\muμ and thickness t is pasted on slit S 2_22​. The thickness of the sheets are different in different cases. The phase difference between the light waves reaching a point P on the screen from the two slits is denoted by δ\deltaδ(P) and the intensity by I(P). Match each situation given in Column I with the statement(s) in Column II valid for that situation:

Column I Column II
(A) IIT-JEE 2009 Paper 2 Offline Physics - Wave Optics Question 9 English 1 (P) δ(P0)=0\delta ({P_0}) = 0δ(P0​)=0
(B) (μ−1)t=λ/4(\mu-1)t=\lambda/4(μ−1)t=λ/4
IIT-JEE 2009 Paper 2 Offline Physics - Wave Optics Question 9 English 2
(Q) δ(P1)=0\delta ({P_1}) = 0δ(P1​)=0
(C) (μ−1)t=λ/2(\mu-1)t=\lambda/2(μ−1)t=λ/2
IIT-JEE 2009 Paper 2 Offline Physics - Wave Optics Question 9 English 3
(R) I(P1)=0I({P_1}) = 0I(P1​)=0
(D) (μ−1)t=3λ/4(\mu-1)t=3\lambda/4(μ−1)t=3λ/4
IIT-JEE 2009 Paper 2 Offline Physics - Wave Optics Question 9 English 4
(S) I(P0)>I(P1)I({P_0}) \gt I({P_1})I(P0​)>I(P1​)
(T) I(P2)>I(P1)I({P_2}) \gt I({P_1})I(P2​)>I(P1​)

  1. A
    (A) →\to→(P), (S); (B) →\to→(Q); (C) →\to→(T); (D) →\to→(R), (S), (T)
  2. B
    (A) →\to→(P), (S); (B) →\to→(R); (C) →\to→(T); (D) →\to→(R), (S), (T)
  3. C
    (A) →\to→(P), (S); (B) →\to→(Q); (C) →\to→(S); (D) →\to→(R), (S), (T)
  4. D
    (A) →\to→(P), (R); (B) →\to→(Q); (C) →\to→(T); (D) →\to→(R), (S), (T)
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