| List-I | List-II |
|---|---|
| (A) A force that restores an elastic body of unit area to its original state | (I) Bulk modulus |
| (B) Two equal and opposite forces parallel to opposite faces | (IV) Shear modulus |
| (C) Forces perpendicular everywhere to the surface per unit area same everywhere | (III) Stress |
| (D) Two equal and opposite forces perpendicular to opposite faces | (II) Young's modulus |
The correct pairings between List-I and List-II are:
- (A) A force per unit area that restores an elastic body to its original state matches Stress (III). Stress is force divided by area, acting to revert deformation.
- (B) Equal and opposite forces parallel to opposite faces correspond to Shear modulus (IV). Shear modulus quantifies a material's reaction to shear stress, involving parallel surface forces.
- (C) Forces applied perpendicularly to a surface per unit area correspond to Bulk modulus (I). Bulk modulus describes a material's response to uniform pressure and its uniform compressibility.
- (D) Equal and opposite forces perpendicular to opposite faces correspond to Young’s modulus (II). Young’s modulus relates to stretching or compression perpendicular to applied forces.
The correct matching is:
\[ \text{(A)-(III), (B)-(IV), (C)-(I), (D)-(II)}. \]
A wire of uniform resistance \(\lambda\) \(\Omega\)/m is bent into a circle of radius r and another piece of wire with length 2r is connected between points A and B (ACB) as shown in figure. The equivalent resistance between points A and B is_______ \(\Omega\).
The stress v/s strain graph of a material is as shown. Find the Young's modulus of the material. 