Match the list I with list II
| List I | List II | ||
|---|---|---|---|
| (A) | Brewster's Angle | (I) | \( I = I_0\cos^2\theta \) |
| (B) | Malus's Law | (II) | \( \displaystyle\frac{\sin i}{\sin r} = \mu \) |
| (C) | Snell's Law | (III) | \( \displaystyle\frac{\lambda D}{d} \) |
| (D) | Fringe width in interference of light | (IV) | \( \mu = \tan i_B \) |
Choose the correct answer from the options given below.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → A-(IV), B-(I), C-(II), D-(III)
Each List I entry is a standard relation of wave optics; match each one to its formula.
(A) Brewster's Angle — this matches (IV) \( \mu = \tan i_B \). At the polarising angle the reflected and refracted rays are perpendicular, and this gives Brewster's law.
(B) Malus's Law — this matches (I) \( I = I_0\cos^2\theta \). It gives the intensity of polarised light passing through an analyser whose axis makes an angle \( \theta \) with the polariser.
(C) Snell's Law — this matches (II) \( \displaystyle\frac{\sin i}{\sin r} = \mu \). It is the law of refraction.
(D) Fringe width in interference of light — this matches (III) \( \displaystyle\frac{\lambda D}{d} \). In Young's double-slit experiment the fringe width is \( \beta = \lambda D/d \).