Step 1: Understand each law/phenomenon.
- Snell's Law (A) relates to the refractive index of materials when light passes from one medium to another, so it matches with (II) Refractive Index.
- Meissner Effect (B) refers to perfect diamagnetism, where a superconductor expels all magnetic fields. Thus, it matches with (I) Perfect Dimagnetism.
- Brewster's Law (C) describes the angle at which light with a particular polarization is perfectly reflected, hence it matches with (III) Polarized Light.
- Photoelectric Effect (D) relates to the emission of electrons from a material when exposed to light, and it is explained by quantum theory, matching with (IV) Quantum theory of light.
Step 2: Conclusion.
Thus, the correct matching is:
\[
\text{(A) (II), (B) (I), (C) (III), (D) (IV)}
\]
Final Answer:
\[
\boxed{\text{(A) (II), (B) (III), (C) (I), (D) (IV)}}
\]