Physics · Wave Optics
In a standard Young's double-slit experiment, the screen is placed far away from the slits S1 and S2. The wavelength of light used is λ. The conditions given are: • S1P0 = S2P0 • S1P1 − S2P1 = λ/4 • S1P2 − S2P2 = λ/3 In cases B, C, and D, a transparent sheet of refractive index μ and thickness t is placed in front of S2. Let δ(P) denote the phase difference and I(P) denote the intensity at point P. Match the situations in Column I with statements in Column II: Column I (A) No sheet in front of any slit (B) Sheet thickness t = λ/[4(μ−1)] (C) Sheet thickness t = λ/[3(μ−1)] (D) Sheet thickness t = λ/[2(μ−1)] Column II (p) δ(P0) = 0 (q) δ(P1) = 0 (r) I(P1) = 0 (s) I(P0) > I(P1) (t) I(P2) > I(P1)
- 1A → (t, s), B → (p), C → (t), D → (r)
- 2A → (p, s), B → (q), C → (r), D → (r, s, t)✓
- 3A → (s), B → (q), C → (r), D → (t)
- 4A → (r, s), B → (q, t), C → (r), D → (r, t)
Correct answer
A → (p, s), B → (q), C → (r), D → (r, s, t)
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