MCQOPTIONS
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MCQOPTIONS
This section includes 427 Mcqs, each offering curated multiple-choice questions to sharpen your Materials Science knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Which of the following is found out by calculating the area under the stress strain graph? |
| A. | Toughness |
| B. | Hardness |
| C. | Endurance |
| D. | Strength |
| Answer» B. Hardness | |
| 2. |
Greater the angle of inclination of the stress strain curve less is the elasticity. |
| A. | True |
| B. | False |
| Answer» C. | |
| 3. |
Stress strain curve for cemented tungsten carbide is: |
| A. | Hyperbola |
| B. | Parabola |
| C. | A curve |
| D. | Straight line |
| Answer» E. | |
| 4. |
If the Poisson’s ratio is given as 0.3 and the Young’s modulus is given to 7e10. What will be the value for shear modulus? |
| A. | 2.69e10 N/m2 |
| B. | 3.00e10 N/m2 |
| C. | 2.59e10 N/m2 |
| D. | 2.72e10 N/m2 |
| Answer» B. 3.00e10 N/m2 | |
| 5. |
Which of the following can be the value of Poisson’s ratio for an engineering structure? |
| A. | 2 |
| B. | 0.4 |
| C. | 29 |
| D. | 100 |
| Answer» C. 29 | |
| 6. |
Given the shear modulus(G) for aluminum as 2.4e+10 N/m2 and the shear strain is given as 6e-5. What is the value for shear stress? |
| A. | 13.4e+5 N/m2 |
| B. | 14.4e+5 N/m2 |
| C. | 12.4e+5 N/m2 |
| D. | 13.4e-5 N/m2 |
| Answer» C. 12.4e+5 N/m2 | |
| 7. |
Which of the following relation is stated by Hooke’s law? |
| A. | Stress is directly proportional to strain |
| B. | Stress is inversely proportional to strain |
| C. | Stress is directly proportional to square of strain |
| D. | Stress is inversely proportional to square of strain |
| Answer» B. Stress is inversely proportional to strain | |
| 8. |
Up to which point on the stress-strain curve is Hooke’s law valid? |
| A. | Elastic limit |
| B. | Yield point |
| C. | Proportionality limit |
| D. | Fracture point |
| Answer» D. Fracture point | |
| 9. |
A body of weight mg is hanging on a string that extends in length by l. The work done in extending the string is ___________ |
| A. | mgl |
| B. | mgl/2 |
| C. | 2mgl |
| D. | 0 |
| Answer» C. 2mgl | |
| 10. |
Which of the following have well defined geometrical external shapes? |
| A. | Amorphous solids |
| B. | Liquids |
| C. | Gases |
| D. | Crystalline solids |
| Answer» E. | |
| 11. |
The term liquid crystal refers to a state that is intermediate between ___________ |
| A. | Crystalline solid and amorphous liquid |
| B. | Crystalline solid and vapour |
| C. | Amorphous liquid and its vapour |
| D. | A crystal immersed in a liquid |
| Answer» B. Crystalline solid and vapour | |
| 12. |
An example of a perfectly plastic body is ___________ |
| A. | Quartz |
| B. | Crystal |
| C. | Putty |
| D. | Rubber |
| Answer» D. Rubber | |
| 13. |
Two wires have the same material and have the same volume. However wire 1 had cross sectional area A and wire 2 has cross sectional area 3A. If the length of wire 1 increases by ∆x on applying force F, how much force is needed to stretch wire 2 by the same amount? |
| A. | F |
| B. | 4F |
| C. | 6F |
| D. | 9F |
| Answer» E. | |
| 14. |
If the stress is S and the Young’s modulus is Y of material of a wire, the energy stored in the wire per unit volume is? |
| A. | 2Y/S |
| B. | S/2Y |
| C. | 2S2 Y |
| D. | S2/ 2Y |
| Answer» E. | |
| 15. |
A mild steel bar, 1.5 m long, has square section 40 mm × 40 mm. The bar is subjected to a two – dimensional stress, σx = 310 N/mm2 (tensile) and σy = 300 N/mm2(Compressive),E = 2 × 105 N/mm2, Poisson’s ratio μ = 0.3. The elongation of the bar in the direction of σx will be |
| A. | 1.25 mm |
| B. | 1.75 mm |
| C. | 2.25 mm |
| D. | 3 mm |
| Answer» E. | |
| 16. |
If stress measuring device shows reading as 1 MPa. It is equivalent to: |
| A. | 10 N/mm2 |
| B. | 1 M N/mm2 |
| C. | 1 k N/mm2 |
| D. | 1 N/mm2 |
| Answer» E. | |
| 17. |
Principal planes are planes having |
| A. | Maximum shear stress |
| B. | No shear stress |
| C. | Minimum shear stress |
| D. | None of the above |
| Answer» C. Minimum shear stress | |
| 18. |
A solid conical bar of circular cross-section is suspended vertically as shown in the figure. The diameter of the bar at the base, D, equals 100 mm and its length, L is 0.5 m. If E = 200 GN/m2 and its weight per unit volume is 80 kN/m3,the elongation of the bar under self-weight is |
| A. | 1.50 × 10-6 mm |
| B. | 1.67 × 10-5 mm |
| C. | 1.71 × 10-6 mm |
| D. | 1.87 × 10-5 mm |
| Answer» C. 1.71 × 10-6 mm | |
| 19. |
A good malleable material possess: _______. |
| A. | low degree of plasticity |
| B. | high degree of plasticity |
| C. | necessarily great strength |
| D. | necessarily high degree of ductility |
| Answer» C. necessarily great strength | |
| 20. |
If strains on a piece of metal are ϵx = 120 μ m/m ϵy = -30 μm/m, and γ = 120 μ m/m, what is the maximum principal strain? |
| A. | 0 |
| B. | 50 μm/m |
| C. | 75 μ m/m |
| D. | 150 μm/m |
| Answer» E. | |
| 21. |
Pick up the correct statement from the following:A. The bending moment which when acting alone would produce the maximum stress equal to the major principal stress caused by combined bending and torsion, is called equivalent bending momentB. The torque which when acting alone would produce maximum shear stress equal to the maximum shear stress caused by combined bending and torsion, is called equivalent twisting moment or equivalent torque. |
| A. | Only A |
| B. | Only B |
| C. | Both A and B |
| D. | None of these |
| Answer» D. None of these | |
| 22. |
For the component loaded with a force F as shown in the figure, the maximum stress at the corner point P is |
| A. | \(\frac{{F\left( {3L - b} \right)}}{{4{b^3}}}\) |
| B. | \(\frac{{F\left( {3L + b} \right)}}{{4{b^3}}}\) |
| C. | \(\frac{{F\left( {3L + 2b} \right)}}{{4{b^3}}}\) |
| D. | \(\frac{{F\left( {3L - 2b} \right)}}{{4{b^3}}}\) |
| Answer» E. | |
| 23. |
If Mohr’s circle is drawn for the shear stress developed because of torque applied over a shaft, then the maximum shear stress developed will be equal to |
| A. | diameter of the Mohr’s circle |
| B. | radius of the Mohr’s circle |
| C. | half of the radius of the Mohr’s circle |
| D. | 1.414 times radius of the Mohr’s circle |
| Answer» C. half of the radius of the Mohr’s circle | |
| 24. |
A rectangular steel bar, which is of 2.8 m long and 15 mm thick, is subjected to an axial tensile load of 40 kN. If width of the bar varies from 75 mm at one end to 30 mm at the end, then what is the extension of the bar if E = 2 x 106 N/mm2? |
| A. | 0.86 mm |
| B. | 0.36 mm |
| C. | 0.76 mm |
| D. | 0.50 mm |
| Answer» D. 0.50 mm | |
| 25. |
Angle between the planes of maximum normal stress and minimum normal stress is ________ and angle between planes of maximum shear stress and principal planes is ________ respectively. |
| A. | 90° and 45° |
| B. | 45° and 45° |
| C. | 45° and 90° |
| D. | 90° and 90° |
| Answer» B. 45° and 45° | |
| 26. |
A metal bar of 10 mm diameter when subjected to a pull of 23.5 kN gave an elongation of 0.3 mm on a gauge length of 200 mm. The Young's modulus of elasticity of the metal will nearly be |
| A. | 200 kN/mm2 |
| B. | 300 kN/mm2 |
| C. | 360 kN/mm2 |
| D. | 400 kN/mm2 |
| Answer» B. 300 kN/mm2 | |
| 27. |
A bar of cross-sectional area 2 cm2 and length 100 cm fixed to rigid supports at both ends at a temperature of 25°C. The bar is subjected to an increases in temperature of 30°C. If the coefficient of linear thermal expansion of the material is 10 × 10-6/°C and Young’s modulus 2 × 105 N/mm2 the stress in the bar is |
| A. | 10 N/mm2 comp |
| B. | 20 N/mm2 comp |
| C. | 50 N/mm2 comp |
| D. | 50 N/mm2 tension |
| Answer» B. 20 N/mm2 comp | |
| 28. |
A simply supported beam of span l and flexural rigidity EI carries a unit load at its mid-span. The strain energy at this condition in the beam due to bending is |
| A. | \(\frac{{{l^3}}}{{48\;EI}}\) |
| B. | \(\frac{{{l^3}}}{{96\;EI}}\) |
| C. | \(\frac{{{l^3}}}{{192\;EI}}\) |
| D. | \(\frac{{{l^3}}}{{16\;EI}}\) |
| Answer» C. \(\frac{{{l^3}}}{{192\;EI}}\) | |
| 29. |
A bar of bronze and a bar of steel are placed between two immovable supports, A and B as shown in the figure. The physical constant are : (where L = Length of bars, A = cross-sectional area, α = linear coefficient of thermal expansion, E = Young’s modulus)Steel BronzeL = 0.5 m L = 0.75 mA = 6 × 10-4m2 A = 12 × 10-4 m2α = 12 × 10-6/°C α = 20 × 10-6/°CE = 200 GPa E = 100 GPaThe stresses in the steel and bronze, when temperature drops by 50°C is |
| A. | Tension |
| B. | Compression |
| C. | Shear |
| D. | None of these |
| Answer» B. Compression | |
| 30. |
On a stressed body there are points on which shear stress is zero. These planes are known as: |
| A. | Orthogonal planes |
| B. | Normal planes |
| C. | Shear planes |
| D. | Principal planes |
| Answer» E. | |
| 31. |
Coefficient of expansion and modulus of elasticity for steel and aluminium are: |
| A. | 12 × 10-6/°C, 23 × 10-6/°C, 200 Gpa, 80 Gpa |
| B. | 14 × 10-6/°C, 20 × 10-6/°C, 220Gpa, 90 Gpa |
| C. | 11 × 10-6/°C, 17 × 10-6/°C, 190 Gpa, 70 Gpa |
| D. | 13 × 10-6/°C, 19 × 10-6/°C, 210 Gpa, 80 Gpa |
| Answer» B. 14 × 10-6/°C, 20 × 10-6/°C, 220Gpa, 90 Gpa | |
| 32. |
However complex the stress condition may be in the body, the principle planes will always be |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» D. 4 | |
| 33. |
Consider the following statements related to Mohr’s circle for stresses in case plane stress:1) The construction is for variations of stress in a body.2) The radius of the circle represents the magnitude of the maximum shearing stress.3) The diameter represents the difference between the two principal stresses.Which of the above statements are correct? |
| A. | 1, 2 and 3 |
| B. | 2, and 3 only |
| C. | 1 and 3 only |
| D. | 1 and 2 only |
| Answer» B. 2, and 3 only | |
| 34. |
If the modulus of elasticity is zero, the material is said to be |
| A. | rigid |
| B. | elastic |
| C. | flexible |
| D. | plastic |
| Answer» E. | |
| 35. |
If a bar of cross section area 'A' is subjected to a tensile force 'P', resultant shear stress on a oblique plane inclined at an angle θ to its axis is - |
| A. | (P/A) cos 2θ |
| B. | (P/A) sin 2θ |
| C. | (P/2A) cos 2θ |
| D. | (P/2A) sin 2θ |
| Answer» E. | |
| 36. |
A mechanism shown in the figure consists of equally long steel and copper wires which carry the applied load in equal shares. What shall be the ratio of the diameter of the copper wire to that of the steel wire, when both the wires undergo equal strains? |
| A. | √2 |
| B. | 1 |
| C. | \(\frac{1}{{\sqrt 2 }}\) |
| D. | \(\frac{1}{2}\) |
| Answer» B. 1 | |
| 37. |
A tensile test is performed on a round bar. After fracture, it has been found that the diameter remains approximately same at fracture. The material under test was |
| A. | Mild steel |
| B. | Cast iron |
| C. | Copper |
| D. | Aluminium |
| Answer» C. Copper | |
| 38. |
A section of the beam is said to be in pure bending, if it is subjected to |
| A. | Constant shear force and constant bending moment |
| B. | Constant bending moment and zero shear force |
| C. | Constant shear force and zero bending moment |
| D. | None of these |
| Answer» C. Constant shear force and zero bending moment | |
| 39. |
A tie bar 50 mm × 8 mm is to carry a load of 80 kN. A specimen of same quality steel of cross-sectional area is 250 mm2. If the maximum load carried by the specimen is 125 kN, the gauge length will be |
| A. | 133 mm |
| B. | 126 mm |
| C. | 113 mm |
| D. | 106 mm |
| Answer» D. 106 mm | |
| 40. |
A steel rod of length L and diameter D, fixed at both ends, is uniformly heated to a temperature rise of ΔT. The Young’s modulus is E and the coefficient of linear expansion is α. The thermal stress in the rod is |
| A. | 0 |
| B. | αΔT |
| C. | E αΔT |
| D. | E αΔT L |
| Answer» D. E αΔT L | |
| 41. |
If a piece of material neither expands nor contracts in volume when subjected to stresses, then the Poisson’s ratio must be |
| A. | Zero |
| B. | 0.25 |
| C. | 0.33 |
| D. | 0.5 |
| Answer» E. | |
| 42. |
A body is subjected to a direct tensile stress of 300 MPa in one plane accompanied by a simple shear stress of 200 MPa. The maximum normal stress on the plane will be |
| A. | 100 MPa |
| B. | 200 MPa |
| C. | 300 MPa |
| D. | 400 MPa |
| Answer» E. | |
| 43. |
Isotropy of a material means |
| A. | behaviour of the material having same properties in all directions |
| B. | the enthalpy of the material remains same over time |
| C. | the material remains homogeneous when heated |
| D. | the temperature within the material remains constant when heated |
| E. | the properties of the material are different in different directions |
| Answer» B. the enthalpy of the material remains same over time | |
| 44. |
Consider a plane stress case, where σx = 3 Pa, σy = 1 Pa and τxy = 1 Pa. One of the principal directions w.r.t. x-axis would be |
| A. | 0° |
| B. | 15° |
| C. | 22.5° |
| D. | 45° |
| Answer» D. 45° | |
| 45. |
Assume L is the load in Newton and A is cross-sectional area, then Stress (denoted by S) is equal to: |
| A. | s = A + L |
| B. | s = A * L |
| C. | s = L/A |
| D. | s = A/L |
| Answer» D. s = A/L | |
| 46. |
Consider the following factorsA. Large number of loading cyclesB. Large variations in stressC. Large stress concentrationsThose associated with fatigue failure would include ________. |
| A. | A and B |
| B. | A and C |
| C. | B and C |
| D. | A, B and C |
| Answer» E. | |
| 47. |
Below figure shows a rigid bar hinged at A and supported in a horizontal position by two vertical identical steel wires. Neglect the weight of the beam. The tension, T1 and T2 induced in these wires by a vertical load P applied as shown are |
| A. | \({T_1} = {T_2} = \frac{P}{2}\) |
| B. | \({T_1} = \frac{{Pal}}{{\left( {{a^2} + {b^2}} \right)}},{T_2} = \frac{{Pbl}}{{\left( {{a^2} + {b^2}} \right)}}\) |
| C. | \({T_1} = \frac{{Pbl}}{{\left( {{a^2} + {b^2}} \right)}},{T_2} = \frac{{Pal}}{{\left( {{a^2} + {b^2}} \right)}}\) |
| D. | \({T_1} = \frac{{Pal}}{{2\left( {{a^2} + {b^2}} \right)}},\:{T_2} = \frac{{Pal}}{{2\left( {{a^2} + {b^2}} \right)}}\) |
| Answer» C. \({T_1} = \frac{{Pbl}}{{\left( {{a^2} + {b^2}} \right)}},{T_2} = \frac{{Pal}}{{\left( {{a^2} + {b^2}} \right)}}\) | |
| 48. |
In a ductile material, post elastic strain is _____. |
| A. | 1% |
| B. | 2 - 3% |
| C. | 3 - 5% |
| D. | greater than 5% |
| Answer» E. | |
| 49. |
In a biaxial state of stress, normal stresses are σx = 900N/mm2, σy = 100N/mm2 and shear stress τ = 300 N/mm2. The maximum principal stress is |
| A. | 800 N/mm2 |
| B. | 900 N/mm2 |
| C. | 1000 N/mm2 |
| D. | 1200 N/mm2 |
| Answer» D. 1200 N/mm2 | |
| 50. |
Consider the following statements:If the planes at right angles carry only shear stress of magnitude q in a certain Instance. then the1. diameter of Mohr’s circle would he equal to 2q2. centre of Mohr’s circle would lie at the origin3. principal stresses are unlike. and are of magnitude q each4. angle between the principal plane and the plane of maximum shear would be 450Which of the above statements are correct? |
| A. | 1, 2 and 3 only |
| B. | 1, 2 and 4 only |
| C. | 1 and 4 only |
| D. | 1, 2, 3 and 4 |
| Answer» E. | |