MCQOPTIONS
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MCQOPTIONS
This section includes 69 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Physics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A substance breaks down by a stress of (106 N)/m2. If the density of the material of the wire is 3×(103) kg/m3, then the length of the wire of the substance which will break under its own weight when suspended vertically will be ___________ |
| A. | 66.6m |
| B. | 60.0m |
| C. | 33.3m |
| D. | 30.3m |
| Answer» D. 30.3m | |
| 2. |
The diameter of brass rod is 4mm. Young’s modulus of brass is 9×109 N/m2. The force required to stretch 0.1% of its length is ___________ |
| A. | 360πN |
| B. | 36N |
| C. | 36π×105 N |
| D. | 144π×103N |
| Answer» B. 36N | |
| 3. |
Which of the following affects the elasticity of a substance? |
| A. | Hammering and annealing |
| B. | Change in temperature |
| C. | Impurity in substance |
| D. | All of the mentioned |
| Answer» E. | |
| 4. |
The breaking stress of a wire depends upon ___________ |
| A. | Length of the wire |
| B. | Radius of the wire |
| C. | Material of the wire |
| D. | Shape of the cross-section |
| Answer» D. Shape of the cross-section | |
| 5. |
A stretched rubber has ___________ |
| A. | Increased kinetic energy |
| B. | Increased potential energy |
| C. | Decreased kinetic energy |
| D. | Decreased potential energy |
| Answer» C. Decreased kinetic energy | |
| 6. |
If in a wire of Young’s modulus Y, longitudinal strain is produced, then the value of potential energy stored in its unit volume will be ___________ |
| A. | YX2 |
| B. | 0.5Y2 X |
| C. | 2YX2 |
| D. | 0.5YX2 |
| Answer» E. | |
| 7. |
According to Hooke’s law of elasticity, if stress is increased, the ratio of stress to strain? |
| A. | Increased |
| B. | Decreased |
| C. | Becomes zero |
| D. | Remains constant |
| Answer» E. | |
| 8. |
Energy stored in stretching a string per unit volume is ___________ |
| A. | 1/2×stress×strain |
| B. | stress×strain |
| C. | Y(Strain)2 |
| D. | 1/2 Y(Stress)2 |
| Answer» B. stress×strain | |
| 9. |
A cube is subjected to a uniform volume compression. If the side of the cube decreases by 2%, the bulk strain is ___________ |
| A. | 0.02 |
| B. | 0.03 |
| C. | 0.04 |
| D. | 0.06 |
| Answer» E. | |
| 10. |
There are two wires of same material and same length while the diameter of second wire is two times the diameter of first wire, then the ratio of extension the diameter of first wire, then the ratio of extension produced in the wire by applying same load will be _____________ |
| A. | 1:1 |
| B. | 2:1 |
| C. | 1:2 |
| D. | 4:1 |
| Answer» E. | |
| 11. |
A block of volume V mm3 is subjected to hydrostatic pressure p MPa. Modulus of elasticity is E GPa and Poisson’s ratio v = 0.5. Which statement is true about the block? |
| A. | Bulk modulus K = ∞, perfectly incompressible and change in volume is zero. |
| B. | Bulk modulus K = 1, perfectly incompressible and change in volume is zero. |
| C. | Bulk modulus K = 0, perfectly incompressible and change in volume is ∞. |
| D. | Bulk modulus K = ∞, perfectly compressible and change in volume is zero. |
| Answer» B. Bulk modulus K = 1, perfectly incompressible and change in volume is zero. | |
| 12. |
A bar of 80 mm diameter and 800 mm length is subjected to an axial load of 200 kN. It elongates by 0.30 mm and the diameter decreases by 0.01 mm. What is the Poisson’s ratio of the material of the bar? |
| A. | 0.25 |
| B. | 0.33 |
| C. | 0.5 |
| D. | 0.75 |
| Answer» C. 0.5 | |
| 13. |
For a material having modulus of elasticity E and modulus of rigidity N, it is seen that E = 2 N. The bulk modulus K of the material is |
| A. | \(\frac{E}{4}\) |
| B. | \(2\frac{E}{3}\) |
| C. | \(\frac{E}{3}\) |
| D. | \(\frac{E}{2}\) |
| Answer» D. \(\frac{E}{2}\) | |
| 14. |
If the ratio G/E = 0.4, the Poisson’s ratio will be : (G = Rigidity Modulus, E = young's Modulus) |
| A. | 0.2 |
| B. | 0.25 |
| C. | 0.3 |
| D. | 0.33 |
| Answer» C. 0.3 | |
| 15. |
For a given material the bulk modulus is 100 GPa and passions ratio is 0.25, then the value of modulus of rigidity is (in GPa). |
| A. | 100 |
| B. | 60 |
| C. | 125 |
| D. | 75 |
| Answer» C. 125 | |
| 16. |
A masonry structure has a prism strength of 10 N/mm2 with μ = 0.25. The modulus of elasticity and the shear modulus of the masonry are, respectively |
| A. | 5500 MPa and 2200 MPa |
| B. | 2000 MPa and 2200 MPa |
| C. | 5500 MPa and 1000 MPa |
| D. | 2000 MPa and 1000 MPa |
| Answer» B. 2000 MPa and 2200 MPa | |
| 17. |
Calculate the value of modulus of rigidity (N/mm2) if the Poisson’s ratio is 0.25 and modulus of elasticity for the material is 200 N/mm2? |
| A. | 50 |
| B. | 80 |
| C. | 100 |
| D. | 150 |
| Answer» C. 100 | |
| 18. |
For a given material, the modulus of rigidity is 100 GPa and Poisson’s ratio is 0.25. The value of modulus of elasticity in GPa is |
| A. | 125 |
| B. | 150 |
| C. | 200 |
| D. | 250 |
| Answer» E. | |
| 19. |
For a given elastic material, the Elastic Modulus E is 210 GPa and its Poisson’s Ratio is 0.27. What is the approximate value of its Modulus of Rigidity? |
| A. | 105 GPa |
| B. | 83 GPa |
| C. | 159 GPa |
| D. | 165 GPa |
| Answer» C. 159 GPa | |
| 20. |
A bar specimen of 36 mm diameter is subjected to a pull of 90 kN during a tension test. The extension on a gauge length of 200 rum is measured to be 0.089 mm and the change in diameter to be 0.0046 mm. The Poisson's ratio will be |
| A. | 0.287 |
| B. | 0.265 |
| C. | 0.253 |
| D. | 0.241 |
| Answer» B. 0.265 | |
| 21. |
For which material the Poisson's ratio is more than unity?A. SteelB. CopperC. AluminiumD. Cast iron |
| A. | Only A |
| B. | Only B |
| C. | Only C |
| D. | None of these |
| Answer» E. | |
| 22. |
In a particular material, if the modulus of rigidity is equal to the bulk modulus, the Poisson Ratio would be |
| A. | 1/8 |
| B. | 1/4 |
| C. | 1/2 |
| D. | 1 |
| Answer» B. 1/4 | |
| 23. |
If the lateral compressive strain in a material is 0.3 × 10–3 and the Poisson ratio is 0.25, then longitudinal strain in the material is |
| A. | 0.0012 (tensile) |
| B. | 0.0012 (compressive) |
| C. | 7.5 × 10–5 (compressive) |
| D. | 7.5 × 10–5 (tensile) |
| Answer» B. 0.0012 (compressive) | |
| 24. |
If the stress acting on a point is in the three dimensions, then what is the number of components in a stress tensor required for defining that stress? |
| A. | 3 |
| B. | 4 |
| C. | 6 |
| D. | 9 |
| Answer» E. | |
| 25. |
Modulus of rigidity is defined as the ratio of ________. |
| A. | Longitudinal stress and longitudinal strain |
| B. | Volumetric stress and volumetric strain |
| C. | Lateral stress and lateral strain |
| D. | Shear stress and shear strain |
| Answer» E. | |
| 26. |
Calculate the value of modulus of elasticity (N/mm2), if the Poisson’s ratio is 0.25 and modulus of rigidity of the material is 80 N/mm2? |
| A. | 100 |
| B. | 200 |
| C. | 250 |
| D. | 300 |
| Answer» C. 250 | |
| 27. |
For a material, the modulus of rigidity is 100 GPa and the modulus of elasticity is 250 GPa. The value of the Poison’s ration is |
| A. | 0.2 |
| B. | 0.25 |
| C. | 0.3 |
| D. | 0.35 |
| Answer» C. 0.3 | |
| 28. |
For a material with poisons ratio 0.25, the ratio of modulus of rigidity to modulus of elasticity will be |
| A. | 0.4 |
| B. | 1.2 |
| C. | 2 |
| D. | 3.6 |
| Answer» B. 1.2 | |
| 29. |
Number of independent elastic constant for orthotropic materials as wood is ______. |
| A. | 2 |
| B. | 9 |
| C. | 14 |
| D. | 21 |
| Answer» C. 14 | |
| 30. |
If modulus of rigidity of a material is 80 GPa and modulus of elasticity is 200 GPa, what will be the bulk modulus of material ? |
| A. | 133.3 GPa |
| B. | 153.3 GPa |
| C. | 163.3 GPa |
| D. | 173.3 GPa |
| Answer» B. 153.3 GPa | |
| 31. |
If the Poisson's ratio for a material is 0.5, then the elastic modulus for the material is |
| A. | three times its shear modulus |
| B. | four times its shear modulus |
| C. | equal to its shear modulus |
| D. | not determinable |
| Answer» B. four times its shear modulus | |
| 32. |
Poisson's ratio for aluminium ranges between- |
| A. | 0.23 - 0.25 |
| B. | 0.25 - 0.26 |
| C. | 0.31 - 0.34 |
| D. | 0.27 - 0.30 |
| Answer» D. 0.27 - 0.30 | |
| 33. |
For a material following Hooke’s law, the values of elastic and shear moduli are 3 × 105 MPa and 1.2 × 105 MPa respectively. The value for bulk modulus is |
| A. | 1.5 × 105 MPa |
| B. | 2 × 105 MPa |
| C. | 2.5 × 105 MPa |
| D. | 3 × 105 MPa |
| Answer» C. 2.5 × 105 MPa | |
| 34. |
A glass rod having an elastic modulus of 90 GPa and Poisson's ratio of 0.2 will have its bulk modulus (in GPa) |
| A. | 50 |
| B. | 108 |
| C. | 270 |
| D. | 91 |
| E. | 100 |
| Answer» B. 108 | |
| 35. |
For an elastic material, Poisson’s ratio is μ, Modulus of Elasticity is E, Modulus of Rigidity is C and Bulk Modulus is K. μ is expressible in terms of K and C as |
| A. | \(\frac{{6K - 2C}}{{3K - 2C}}\) |
| B. | \(\frac{{6K + 2C}}{{3K - 2C}}\) |
| C. | \(\frac{{3K - 2C}}{{6K + 2C}}\) |
| D. | \(\frac{{3K + 2C}}{{6K + 2C}}\) |
| Answer» D. \(\frac{{3K + 2C}}{{6K + 2C}}\) | |
| 36. |
Choose the option which correctly shows the relationship between Modulus of Elasticity (E); Modulus of Rigidity (G) and Bulk Modulus (K): |
| A. | \(E = \frac{{KG}}{{K + G}}\) |
| B. | \(E = \frac{{2KG}}{{2K + G}}\) |
| C. | \(E = \frac{{9KG}}{{3K + G}}\) |
| D. | \(E = \frac{{3KG}}{{K + 2G}}\) |
| Answer» D. \(E = \frac{{3KG}}{{K + 2G}}\) | |
| 37. |
If Poisson’s ratio of an elastic material is 0.4, then what will be the ratio of modulus of rigidity of Young’s modulus? |
| A. | 0.16 |
| B. | 0.36 |
| C. | 0.86 |
| D. | 0.06 |
| Answer» C. 0.86 | |
| 38. |
A load of 20,000 kg applied to a brass cylinder 40 cm long and 10 cm in diameter caused the length to increase 0.8 cm and the diameter to decrease 0.005 cm. Poisson's ratio of brass is ________. |
| A. | 0.025 |
| B. | 0.925 |
| C. | 0.25 |
| D. | 2.5 |
| Answer» B. 0.925 | |
| 39. |
Poisson ratio (μ) for any material lies in: |
| A. | 0 < μ < 1 |
| B. | -1 < μ < 1 |
| C. | -1 < μ < 0.5 |
| D. | 0 < μ < 0.5 |
| Answer» D. 0 < μ < 0.5 | |
| 40. |
If E is the modulus of elasticity in GPa, G is the shear modulus in GPa and ν is the Poisson's ratio of a linear elastic and isotropic material. the three terms are related as |
| A. | E = G (1 - 2ν) |
| B. | E = 2G (1 - ν) |
| C. | E = G (1 + 2ν) |
| D. | E = 2G (1 + ν) |
| Answer» E. | |
| 41. |
Poisson’s ratio for most of the engineering materials is in the range of: |
| A. | 0.01 to 0.05 |
| B. | 0.05 to 0.1 |
| C. | 0.1 to 0.25 |
| D. | 0.25 to 0.35 |
| Answer» E. | |
| 42. |
In terms of bulk modulus (K) and modulus of rigidity (G), The Poisson's ratio can be expressed as. |
| A. | \(\frac{{3K - 4G}}{{6K - 4G}}\) |
| B. | \(\frac{{3K + 4G}}{{6K - 4G}}\) |
| C. | \(\frac{{3K - 2G}}{{6K + 2G}}\) |
| D. | \(\frac{{3K + 2G}}{{6K - 2G}}\) |
| Answer» D. \(\frac{{3K + 2G}}{{6K - 2G}}\) | |
| 43. |
If the Poisson’s ratio is 0.3 for a material, the ratio of Young modulus to shear modulus is |
| A. | 1.3 |
| B. | 2.6 |
| C. | 3.9 |
| D. | 5.2 |
| Answer» C. 3.9 | |
| 44. |
Lead, as a material used in construction, has E = 15 GPa and K = 50 GPa. What is its Poisson’s Ratio? |
| A. | 0.225 |
| B. | 0.3 |
| C. | 0.4 |
| D. | 0.45 |
| Answer» E. | |
| 45. |
In a simple bending theory, one of the assumptions is that the material of the beam is isotropic. This assumption means that the |
| A. | normal stress remains constant in all direction |
| B. | normal stress varies linearly in the material |
| C. | elastic constants are same in all the direction |
| D. | elastic constants vary linearly in the material |
| Answer» D. elastic constants vary linearly in the material | |
| 46. |
A circular of diameter ‘D’ is made of a material for which Young’s Modulus of Elastic is ‘E’ and Poisson’s Ratio is ‘ν’. The ratio of flexural rigidity to torsional rigidity for the shaft is |
| A. | 4 (1 + ν) |
| B. | 1.5 (1 – 2ν) |
| C. | (1 + ν) |
| D. | 0.25 (1 + ν) |
| Answer» D. 0.25 (1 + ν) | |
| 47. |
If the ratio of Young’s modulus to bulk modulus is 1.8, the Poisson’s ratio is |
| A. | 0.3 |
| B. | 0.25 |
| C. | 0.2 |
| D. | 0.275 |
| Answer» D. 0.275 | |
| 48. |
A bar made of a material which has modulus of elasticity 2 x 105 MPa and poision's ratio 0.25. Which one of the following corresponds to shear modulus of the material? |
| A. | 0.2 × 105 Mpa |
| B. | 0.4 × 105 Mpa |
| C. | 0.5 × 105 Mpa |
| D. | 0.8 × 105 Mpa |
| Answer» E. | |
| 49. |
A steel bar is 4 m long, 30 mm wide, 20 mm thick is subjected to an axial pull of 30 kN in the direction of its length. Given modulus of elasticity of the material of the bar as 2 × 105 N/mm2, Poisson’s ratio is 0.3. The lateral strain is _______. |
| A. | 0.000432 |
| B. | 0.000162 |
| C. | 0 |
| D. | 0.000075 |
| Answer» E. | |
| 50. |
A rod of length 2 m and diameter 50 mm is elongated by 5 mm when an axial force of 400 kN is applied. The modulus of elasticity of the material of the rod will be nearly |
| A. | 66 GPa |
| B. | 72 GPa |
| C. | 82 GPa |
| D. | 96 GPa |
| Answer» D. 96 GPa | |