Step 1: Understanding the Concept:
This question requires matching specific phenomena or devices from wave optics with their corresponding experiments, examples, or definitions.
Step 2: Detailed Explanation:
(A) Circular Fringes: In the Newton's Ring experiment, the air film between the lens and the glass plate has a thickness that is constant for a given circle around the point of contact. These loci of equal thickness produce circular interference fringes. So, (A) matches with (II).
(B) Straight parallel and equidistant interference pattern: When interference occurs in a thin film of air shaped like a wedge (e.g., between two glass slides at a small angle), the fringes of equal thickness are straight, parallel, and equidistant lines running parallel to the edge of the wedge. So, (B) matches with (III).
(C) Polarizer: A polarizer is a device that produces polarized light from an unpolarized beam. A Nicol prism, made from a calcite crystal, is a classic example of a polarizer that works by double refraction. So, (C) matches with (I).
(D) E-ray and O-ray travel with same speed: In a birefringent (doubly refracting) crystal, unpolarized light splits into an ordinary ray (O-ray) and an extraordinary ray (E-ray). These two rays generally travel at different speeds. However, there is a specific direction within the crystal along which they travel at the same speed. This unique direction is called the Optic axis. So, (D) matches with (IV).
Step 3: Final Answer:
The correct pairings are: (A)-(II), (B)-(III), (C)-(I), (D)-(IV). This corresponds to option (A).