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 matching between List-I and List-II is as follows:
- (A) A force that restores an elastic body of unit area to its original state corresponds to Stress (III). Stress is defined as force per unit area, which acts to restore the original state of deformation.
- (B) Two equal and opposite forces parallel to opposite faces correspond to Shear modulus (IV). Shear modulus describes the material’s response to shear stress, which involves forces acting parallel to its surfaces.
- (C) Forces perpendicular everywhere to the surface per unit area correspond to Bulk modulus (I). Bulk modulus relates to the material’s response to uniform pressure and describes its ability to compress uniformly.
- (D) Two equal and opposite forces perpendicular to opposite faces correspond to Young’s modulus (II). Young’s modulus is associated with stretching or compression in a direction perpendicular to the applied forces.
Therefore, the correct matching is:
\[ \text{(A)-(III), (B)-(IV), (C)-(I), (D)-(II)}. \]
The portion of the line \( 4x + 5y = 20 \) in the first quadrant is trisected by the lines \( L_1 \) and \( L_2 \) passing through the origin. The tangent of an angle between the lines \( L_1 \) and \( L_2 \) is: