Question

Match List-I with List-II

Choose the correct answer from the options given below:

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

Hint:

To solve matching questions quickly, lock in the most definitive pair: Pascal's Law is the fundamental law of hydrostatic pressure transmission in Fluid Statics (D-I).

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
Physics is divided into several specialized branches and fields of application, each defined by fundamental laws, equations, and theories.
Matching these theories to their correct domain of application is essential for understanding the physical sciences.

Step 2: Detailed Explanation:
Let us analyze and pair each field of application from List-I with its corresponding theory from List-II:
(A). Astrophysics \(\rightarrow\) (II) Big bang theory:
Astrophysics is the branch of astronomy that applies the laws of physics to explain the birth, life, and death of stars, planets, and galaxies.
The Big Bang Theory is the leading cosmological model explaining the origin and early expansion of the universe from an extremely hot and dense initial state.
Thus, (A) matches with (II).
(B). Quantum Mechanics \(\rightarrow\) (IV) Transformation theory:
Quantum mechanics is the branch of physics dealing with physical phenomena at the atomic and subatomic scales.
Transformation Theory (developed by Paul Dirac and Pascual Jordan) is a mathematical framework within quantum mechanics that allows for representing quantum states in different bases (analogous to coordinate transformations in classical mechanics).
Thus, (B) matches with (IV).
(C). Optics \(\rightarrow\) (III) Beer-Lambert's law:
Optics is the branch of physics studying the behavior and properties of light.
The Beer-Lambert Law mathematically describes the absorption of light as it propagates through a partially absorbing medium, relating the attenuation of light to the properties of the material.
Thus, (C) matches with (III).
(D). Fluid Statics \(\rightarrow\) (I) Pascal's law:
Fluid statics (hydrostatics) is the study of fluids at rest.
Pascal's Law is a fundamental law of fluid mechanics stating that pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and the walls of the containing vessel.
Thus, (D) matches with (I).
Combining these pairs gives: (A) - (II), (B) - (IV), (C) - (III), (D) - (I).
This matches option (A).

Step 3: Final Answer:
Therefore, the correct match is represented by option (A).