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Match List-I with List-II for an unpolarised light beam incident on a transparent medium at Brewster's angle ( i_p ). List-I List-II (A) Angle between reflected and refracted rays (I) Partially polarised (B) Refractive index of the medium (II) 90^ (C) Polarisation state of the reflected ray (III) (i_p) (D) Polarisation state of the refracted ray (IV) Completely polarised Choose the correct answer from the options giv

Options

  1. A(A)-(II), (B)-(III), (C)-(IV), (D)-(I)
  2. B(A)-(II), (B)-(III), (C)-(I), (D)-(IV)
  3. C(A)-(III), (B)-(II), (C)-(IV), (D)-(I)
  4. D(A)-(II), (B)-(I), (C)-(IV), (D)-(III)

Correct answer

A. (A)-(II), (B)-(III), (C)-(IV), (D)-(I)

Step-by-step solution

According to Brewster's law, when unpolarised light is incident at the polarising angle ( i_p ), the reflected and refracted rays are perpendicular to each other. Hence, the angle between them is 90^ . The refractive index of the medium is given by = (i_p) . At this angle of incidence, the reflected ray is completely plane-polarised, whereas the refracted ray is partially polarised. Therefore, the correct matching is (A)-(II), (B)-(III), (C)-(IV), (D)-(I). Answer: (A)-(II), (B)-(III), (C)-(IV), (D)-(I)

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