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: Understanding Elastic Constants.
- (A) Young's modulus defines the relationship between stress and strain, making it match with (II).
- (B) Poisson's ratio relates lateral strain to longitudinal strain, so it matches with (IV).
- (C) Bulk modulus deals with volumetric strain, so it matches with (III).
- (D) Rigidity modulus refers to shear stress to shear strain, matching it with (I).

Step 2: Conclusion.
Thus, the correct matching is: (A) - (II), (B) - (IV), (C) - (III), (D) - (I). Therefore, option (1) is correct.

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