Match List-I with List-II :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
Choose the correct answer from the options given below :
| 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 |
Choose the correct answer from the options given below :
- (A)-(II), (B)-(IV), (C)-(I), (D)-(III)
- (A)-(IV), (B)-(II), (C)-(III), (D)-(I)
- (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
- (A)-(III), (B)-(I), (C)-(II), (D)-(IV)
The Correct Option is C
Approach Solution - 1
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:
\[ \text{(A)-(III), (B)-(IV), (C)-(I), (D)-(II)}. \]
Approach Solution -2
We need to match physical descriptions in List-I with their corresponding physical quantities in List-II related to elasticity concepts.
Step 2: Analyze each description.
(A) A force that restores an elastic body of unit area to its original state → This refers to force per unit area, which is the definition of Stress. Hence, (A) → (III).
(B) Two equal and opposite forces parallel to opposite faces → This produces a change in shape without a change in volume, corresponding to Shear modulus. Hence, (B) → (IV).
(C) Forces perpendicular everywhere to the surface per unit area same everywhere → This describes a uniform compression or expansion affecting the entire volume, corresponding to Bulk modulus. Hence, (C) → (I).
(D) Two equal and opposite forces perpendicular to opposite faces → This causes a change in length of the body, corresponding to Young’s modulus. Hence, (D) → (II).
Step 3: Final matching.
(A)-(III), (B)-(IV), (C)-(I), (D)-(II)
Final Answer: (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
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