Physics-11 : 8: Mechanical Properties of Solids - Flashcards
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What is stress?
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The restoring force per unit area. Magnitude of stress = \( F/A \).
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| # | Question | Answer |
|---|---|---|
| 1 | What is stress? | The restoring force per unit area. Magnitude of stress = \( F/A \). |
| 2 | What is Hooke's law? | For small deformations, stress is proportional to strain: stress = \( k \) × strain, where \( k \) is the modulus of elasticity. |
| 3 | Which material among steel, copper, aluminium and brass is the most elastic? | Steel. |
| 4 | What is the SI unit of shear modulus? | N m⁻² or Pa. |
| 5 | Which state of matter is the least compressible? | Solids. |
| 6 | The average depth of the Indian Ocean is 3000 m. What is the fractional compression of water at the bottom? (\( B = 2.2 \times 10^9 \) N m⁻²) | 1.36%. |
| 7 | What is the form of Hooke's law for tensile or compressive stress? | \( \frac{F}{A} = Y \frac{\Delta L}{L} \). |
| 8 | Is bulk modulus relevant for solids, liquids and gases? | Yes. |
| 9 | Is the Young's modulus of rubber greater than that of steel? | No. The Young's modulus of rubber is much smaller than that of steel. |
| 10 | Why is the bulk modulus of water much larger than that of air? | Because the molecules in water are more closely packed and more strongly bound than in air. |
| 11 | A copper wire (L=2.2 m) and a steel wire (L=1.6 m), both of diameter 3.0 mm, are joined end to end and stretched; the net elongation is 0.70 mm. What load was applied? (\(Y_c=1.1\times10^{11}\), \(Y_s=2.0\times10^{11}\) N m⁻²) | ≈ \(1.8 \times 10^2\) N (176.7 N), found from \(\Delta L_c/\Delta L_s=(Y_s/Y_c)(L_c/L_s)=2.5\), giving \(\Delta L_c=5.0\times10^{-4}\) m and \(\Delta L_s=2.0\times10^{-4}\) m. |
| 12 | Does a deforming force applied along one direction produce strain only along that direction? | No. It generally produces strains in other directions too (e.g., a wire's lateral dimension changes under longitudinal strain); this cross-strain is described by a separate elastic constant, the Poisson ratio. |
| 13 | Does tensile or compressive stress change a body's shape, volume, or both? | It changes shape (length) but not volume. |
| 14 | To reduce the bending (sag) of a loaded beam, is increasing the depth d or the breadth b more effective? | Increasing the depth d, since \(\delta \propto d^{-3}\) but only \(\delta \propto b^{-1}\). |
| 15 | Assertion: The stretching of a coil spring is governed by the shear modulus of its material. Reason: A copper coil spring has more tensile strength than a steel spring of the same dimensions. Are these true? | Assertion is true (stretching a coil twists the wire, which is a shear deformation); Reason is false — from Table 8.1, steel's yield strength (250×10⁶ N m⁻²) is greater than copper's (200×10⁶ N m⁻²), so steel has more tensile strength, not copper. (NEET 2022) |
| 16 | A spherical object of bulk modulus B is subjected to a uniform pressure p. What is the fractional decrease in its radius? | \( \Delta R/R = p/(3B) \), since \(\Delta V/V=-p/B\) and \(V\propto R^3\) gives \(\Delta R/R=\tfrac{1}{3}(\Delta V/V)\). (NEET 2017) |