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Match List-I with List-II.
List-IList-II
(i) Interference(P) Coherent sources
(ii) Brewster's law(Q) μ=1/(sin C)
(iii) Malus' law(R) μ=tan θₚ
(iv) Total internal reflection(S) I=I₀ cos²θ

Asked in GUJCET 2018 · Malus's law and polaroids

Answer: (2) (i) → (P), (ii) → (R), (iii) → (S), (iv) → (Q)

Step-by-step solution

Idea: take each law in turn and recall the single relation that defines it.

Interference needs two sources whose phase difference stays constant in time, that is coherent sources, so (i) goes with (P).

Brewster's law gives the polarising angle of a surface through μ=tan θₚ, so (ii) goes with (R).

Malus' law gives the intensity passed by a polaroid whose axis makes an angle θ with the polarisation, I=I₀ cos²θ, so (iii) goes with (S).

Total internal reflection is governed by the critical angle, sin C=1/μ, that is μ=1/(sin C), so (iv) goes with (Q).

The matching is (i) → (P), (ii) → (R), (iii) → (S), (iv) → (Q).

Why the other options are wrong

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