Question

Match List-I with List-II

List-I	List-II
(A) Young's modulus	(II) Stress to strain within elastic limit
(B) Poisson's ratio	(I) Lateral strain to linear strain within elastic limit
(C) Bulk modulus	(IV) Direct stress to corresponding volumetric strain
(D) Rigidity modulus	(III) Shear stress to shear strain within elastic limit

Choose the correct answer from the options given below:

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

Hint:

Elastic constants describe the relationship between different types of strain and stress in materials.

Answer 1

The Correct Option is A

Step 1: Elastic Constants Definition and Matching.
- (A) Young's modulus: Stress-strain relationship, matches (II).
- (B) Poisson's ratio: Lateral strain to longitudinal strain, matches (IV).
- (C) Bulk modulus: Volumetric strain, matches (III).
- (D) Rigidity modulus: Shear stress to shear strain, matches (I).

Step 2: Final Matching and Conclusion.
The correct pairings are: (A) - (II), (B) - (IV), (C) - (III), and (D) - (I). This corresponds to option (1).

Final Answer: \[ \boxed{1. \, (A) - (II), (B) - (IV), (C) - (III), (D) - (I)} \]