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.
| 301. |
If the ratio of two principal stresses is ½, what is the ratio of minimum principal stress to the maximum in plane shear stress? |
| A. | 1/2 |
| B. | 1 |
| C. | 2 |
| D. | 4 |
| Answer» D. 4 | |
| 302. |
For an element in pure shear (+τxy), the principal stresses will be given as |
| A. | \({\sigma _{1.2}} = 0,\; + {\tau _{xy}}\) |
| B. | \({\sigma _{1,\;2}} = \pm {\tau _{xy}}\) |
| C. | \({\sigma _{1,2}} = \pm {\tau _{xy}}\sqrt 2 \) |
| D. | \({\sigma _{1,2}} = \pm {\tau _{xy}}/\sqrt 2 \) |
| Answer» C. \({\sigma _{1,2}} = \pm {\tau _{xy}}\sqrt 2 \) | |
| 303. |
Hooke’s law holds good up to: |
| A. | Plastic limit |
| B. | Yield point |
| C. | Breaking point |
| D. | Limit proportionality |
| Answer» E. | |
| 304. |
An eyebolt is to be made out of steel having an ultimate tensile strength of 500 N/mm2. If the load to be lifted using this eyebolt is 500 kgf then using a factor of safety of 2 find the core diameter (minor diameter) of the thread for eyebolt. |
| A. | \(4\sqrt{\frac{5}{\pi}}\)mm |
| B. | \(5\sqrt{\frac{5}{\pi}}\) mm |
| C. | \(15\sqrt{\frac{5}{\pi}}\) mm |
| D. | \(2\sqrt{\frac{5}{\pi}}\)mm |
| Answer» B. \(5\sqrt{\frac{5}{\pi}}\) mm | |
| 305. |
For a given material assume, Young’s modulus E = 300 GN/m2 and Modulus of rigidity G = 150 GN/m2. Its Bulk modulus K will be |
| A. | 120 GN/m2 |
| B. | 100 GN/m2 |
| C. | 200 GN/m2 |
| D. | 250 GN/m2 |
| Answer» C. 200 GN/m2 | |
| 306. |
A 8 mm thick Copper sheet is cut with a 9 cm diameter round punch. If the punch exerts a force of 16 kN, Find the shear stress in the sheet |
| A. | 9.80 MPa |
| B. | 11.43 MPa |
| C. | 7.08 MPa |
| D. | 17.86 MPa |
| Answer» D. 17.86 MPa | |
| 307. |
______ is defined as load per unit area. |
| A. | Strain |
| B. | Rigidity |
| C. | Stress |
| D. | Pressure |
| Answer» D. Pressure | |
| 308. |
A timber beam of 150 mm width and 200 mm depth is flitched with two steel plates of 10 mm thickness and 150 mm width at top and bottom. The Young’s moduli of steel is 210 GPa and of timber is 14 GPa. Then the equivalent width of the timber segment is |
| A. | 15 mm |
| B. | 10 mm |
| C. | 20 mm |
| D. | 110 mm |
| Answer» C. 20 mm | |
| 309. |
A simply supported beam of span L and flexural rigidity EI carries a unit point load at its centre. The strain energy in the beam due to bending is |
| A. | \(\frac{{{L^3}}}{{48EI}}\) |
| B. | \(\frac{{{L^3}}}{{192EI}}\) |
| C. | \(\frac{{{L^3}}}{{96EI}}\) |
| D. | \(\frac{{{L^3}}}{{16EI}}\) |
| Answer» D. \(\frac{{{L^3}}}{{16EI}}\) | |
| 310. |
A member of length 200 mm and diameter 25 mm is subjected to a tensile load of 20 kN. The final length of the member is found to be 220 mm. The percentage increase in the length of the member is |
| A. | 2% |
| B. | 1% |
| C. | 5% |
| D. | 10% |
| Answer» E. | |
| 311. |
In the bar shown below the force in the part AC is |
| A. | \(\frac{{600}}{7}{\rm{kN}}\) |
| B. | \(\frac{{300}}{7}{\rm{kN}}\) |
| C. | \(\frac{{450}}{7}{\rm{kN}}\) |
| D. | 100 kN |
| Answer» C. \(\frac{{450}}{7}{\rm{kN}}\) | |
| 312. |
A hollow steel column has to carry an axial load of 2,00,000 kg and the ultimate stress for the steel column is 4800 kg/cm2 and allows a load factor of 4. What is the sectional area of the column? |
| A. | 196.66 cm2 |
| B. | 166.66 cm2 |
| C. | 180.66 cm2 |
| D. | 176.66 cm2 |
| Answer» C. 180.66 cm2 | |
| 313. |
A long rod of uniform rectangular section with thickness t, originally straight, is bent into the form of a circular arch with displacement d at the mid-point of span l. The displacement d may be regarded as small as compared to the length l. The longitudinal surface strain is |
| A. | \(\frac{{2td}}{{{l^2}}}\) |
| B. | \(\frac{{4td}}{{{l^2}}}\) |
| C. | \(\frac{{8td}}{{{l^2}}}\) |
| D. | \(\frac{{16td}}{{{l^2}}}\) |
| Answer» C. \(\frac{{8td}}{{{l^2}}}\) | |
| 314. |
A 13 mm diameter tensile specimen has 50 mm gauge length. If the load corresponding to the 0.2% offset is 6800 kg, the yield stress will be nearly |
| A. | 31 kg/mm2 |
| B. | 43 kg/mm2 |
| C. | 51 kg/mm2 |
| D. | 63 kg/mm2 |
| Answer» D. 63 kg/mm2 | |
| 315. |
A prismatic linearly elastic bar of length L, cross-sectional are A, and made up of a material with Young’s modulus E, is subjected to axial tensile force as shown in the figures. When the bar is subjected to axial tensile forces P1 and P2, the strain energies stored in the bar are U1 and U2, respectively.If U is the strain energy stored in the same bar when subjected to an axial tensile force (P1 + P2), the correct relationship is |
| A. | U = U1 + U2 |
| B. | U = U1 - U2 |
| C. | U < U1 + U2 |
| D. | U > U1 + U2 |
| Answer» E. | |
| 316. |
If the principal stresses in a plane stress problem, are σ1 = 100 MPa, σ2 = 40 MPa, the magnitude of the maximum shear stress (in MPa) will be |
| A. | 60 |
| B. | 50 |
| C. | 30 |
| D. | 20 |
| Answer» D. 20 | |
| 317. |
A thin walled spherical vessel has radius r, thickness t. A pressure of fluid inside the vessel is P. Then members stresses for this thin walled pressure vessel is _____ |
| A. | \(\frac{{Pr}}{t}\) |
| B. | \(\frac{{Pr}}{{3t}}\) |
| C. | \(\frac{{Pr}}{{2t}}\) |
| D. | \(\frac{{Pr}}{{4t}}\) |
| Answer» D. \(\frac{{Pr}}{{4t}}\) | |
| 318. |
A 10 m aluminium flagpole is installed at 30°C. After 2 days, the temperature drops to -10° C. How much does the height change of the flagpole (in mm)? (Assume thermal expansion coefficient for aluminium = 23 × 10-6°C-1) |
| A. | 7.8 mm |
| B. | 8.8 mm |
| C. | 9.5 mm |
| D. | 9.2 mm |
| Answer» E. | |
| 319. |
“Necking” occurs in which type of fracture? |
| A. | Ductile |
| B. | Brittle |
| C. | Fatigue |
| D. | Creep |
| Answer» B. Brittle | |
| 320. |
How many elastic constants of a linear, elastic, isotropic material will be? |
| A. | 2 |
| B. | 3 |
| C. | 1 |
| D. | 4 |
| Answer» B. 3 | |
| 321. |
The relationship between Youngs modulus E, bulk modulus K if the value of Poissons ratio is unity will be __________ |
| A. | E = -3K |
| B. | K = -3E |
| C. | E = 0 |
| D. | K = 0 |
| Answer» B. K = -3E | |
| 322. |
For a material, Youngs modulus is given as 1.2 x 10⁵ and Poissons ratio 1/4. Calculate the bulk modulus. |
| A. | 0.7 x 10⁵ |
| B. | 0.8 x 10⁵ |
| C. | 1.2 x 10⁵ |
| D. | 1.2 x 10⁵ |
| Answer» C. 1.2 x 10⁵ | |
| 323. |
What is the limiting values of Poisson’s ratio? |
| A. | -1 and 0.5 |
| B. | -1 and -0.5 |
| C. | -1 and -0.5 |
| D. | 0 and 0.5 |
| Answer» E. | |
| 324. |
Which of the following is true if the value of Poisson’s ratio is zero? |
| A. | The material is rigid |
| B. | The material is perfectly plastic |
| C. | The longitudinal strain in the material is infinite |
| D. | There is no longitudinal strain in the material |
| Answer» B. The material is perfectly plastic | |
| 325. |
How can be the Poissons ratio be expressed in terms of bulk modulus(K) and modulus of rigidity(G)? |
| A. | (3K – 4G) / (6K + 4G) |
| B. | (3K + 4G) /( 6K – 4G) |
| C. | (3K – 2G) / (6K + 2G) |
| D. | (3K + 2G) / (6K – 2G) |
| Answer» D. (3K + 2G) / (6K – 2G) | |
| 326. |
Calculate the modulus of resilience for a 2m long bar which extends 2mm under limiting axial stress of 200 N/mm²? |
| A. | 0.01 |
| B. | 0.20 |
| C. | 0.10 |
| D. | 0.02 |
| Answer» D. 0.02 | |
| 327. |
The phenomenon of slow extension of materials having a constant load, i.e. increasing with the time is called |
| A. | Creeping |
| B. | Yielding |
| C. | Breaking |
| D. | None of the mentioned |
| Answer» B. Yielding | |
| 328. |
What will be the modulus of rigidity if the value of modulus of elasticity is 200 and Poissons ratio is 0.25? |
| A. | 70 |
| B. | 80 |
| C. | 125 |
| D. | 250 |
| Answer» C. 125 | |
| 329. |
How the elastic constants E and K are related? |
| A. | E = 2K(1 – 2μ) |
| B. | E = 3K(1 – 2μ) |
| C. | E = 2K(1 – μ) |
| D. | E = K(1 – 2μ) |
| Answer» C. E = 2K(1 – μ) | |
| 330. |
How many elastic constants does an isotropic, homogeneous and linearly elastic material have? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» C. 3 | |
| 331. |
Find the elongation of an steel rod of 100mm length when it is subjected to a tensile strain of 0.005? |
| A. | 0.2mm |
| B. | 0.3mm |
| C. | 0.5mm |
| D. | 0.1mm |
| Answer» D. 0.1mm | |
| 332. |
A solid metal bat of uniform diameter D and length L is hung vertically from a ceiling. If the density of the material of the bar is 1 and the modulus of elasticity is E, then the total elongation of the bar due to its own weight will be ____________ |
| A. | L/2E |
| B. | L²/2E |
| C. | E/2L |
| D. | E/2L² |
| Answer» C. E/2L | |
| 333. |
The modulus of rigidity and the modulus of elasticity of a material are 80 GPa and 200 GPa. What will be the Poissons ratio of the material? |
| A. | 0.25 |
| B. | 0.30 |
| C. | 0.40 |
| D. | 0.50 |
| Answer» B. 0.30 | |
| 334. |
What is the ratio of Youngs modulus E to shear modulus G in terms of Poissons ratio? |
| A. | 2(1 + μ) |
| B. | 2(1 – μ) |
| C. | 1/2 (1 – μ) |
| D. | 1/2 (1 + μ) |
| Answer» B. 2(1 – μ) | |
| 335. |
What is the expression for modulus of rigidity in terms of modulus of elasticity and the Poissons ratio? |
| A. | G = 3E / 2(1 + μ) |
| B. | G = 5E / (1 + μ) |
| C. | G = E / 2(1 + μ) |
| D. | G = E/ (1 + 2μ) |
| Answer» D. G = E/ (1 + 2μ) | |
| 336. |
A bar of diameter 30mm is subjected to a tensile load such that the measured extension on a gauge length of 200mm is 0.09mm and the change in diameter is 0.0045mm. Calculate the Poissons ratio? |
| A. | 1/3 |
| B. | 1/4 |
| C. | 1/5 |
| D. | 1/6 |
| Answer» B. 1/4 | |
| 337. |
How many elastic constants of a non homogeneous, non isotropic material will be? |
| A. | 9 |
| B. | 15 |
| C. | 20 |
| D. | 21 |
| Answer» E. | |
| 338. |
What kind of elastic materials are derived from a strain energy density function? |
| A. | Cauchy elastic materials |
| B. | Hypo elastic materials |
| C. | Hyper elastic materials |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 339. |
What will be the ratio of Youngs modulus to the modulus of rigidity of a material having Poissons ratio 0.25? |
| A. | 3.75 |
| B. | 3.00 |
| C. | 1.5 |
| D. | 2.5 |
| Answer» E. | |
| 340. |
If the material has different elastic properties in perpendicular directions, it is called ____________ |
| A. | Elastic |
| B. | Isotropic |
| C. | Orthotropic |
| D. | Plastic |
| Answer» D. Plastic | |
| 341. |
The material in which large deformation is possible before absolute failure by rupture is called ____________ |
| A. | Plastic |
| B. | Elastic |
| C. | Brittle |
| D. | Ductile |
| Answer» E. | |
| 342. |
Which law is also called as the elasticity law? |
| A. | Bernoulli’s law |
| B. | Stress law |
| C. | Hooke’s law |
| D. | Poisson’s law |
| Answer» D. Poisson’s law | |
| 343. |
What is the stress-strain curve? |
| A. | It is the percentage of stress and stain |
| B. | It is the relationship between stress and strain |
| C. | It is the difference between stress and strain |
| D. | None of the mentioned |
| Answer» C. It is the difference between stress and strain | |
| 344. |
Which point on the stress strain curve occurs after the proportionality limit? |
| A. | Upper yield point |
| B. | Lower yield point |
| C. | Elastic limit |
| D. | Ultimate point |
| Answer» D. Ultimate point | |
| 345. |
Highest value of stress for which Hooke’s law is applicable for a given material is called ____________ |
| A. | Stress limit |
| B. | Strain limit |
| C. | Proportional limit |
| D. | Significant limit |
| Answer» D. Significant limit | |
| 346. |
The slope of the stress-strain curve in the elastic deformation region is ____________ |
| A. | Elastic modulus |
| B. | Plastic modulus |
| C. | Poisson’s ratio |
| D. | None of the mentioned |
| Answer» B. Plastic modulus | |
| 347. |
In an experiment, the bulk modulus of elasticity of a material is twice its modulus of rigidity. The Poissons ratio of the material is ___________ |
| A. | 1/7 |
| B. | 2/7 |
| C. | 3/7 |
| D. | 4/7 |
| Answer» C. 3/7 | |
| 348. |
What will be the elastic modulus of a material if the Poisson’s ratio for that material is 0.5? |
| A. | Equal to its shear modulus |
| B. | Three times its shear modulus |
| C. | Four times its shear modulus |
| D. | Not determinable |
| Answer» C. Four times its shear modulus | |
| 349. |
The Poissons ratio of a material is 0.3. what will be the ratio of Youngs modulus to bulk modulus? |
| A. | 1.4 |
| B. | 1.2 |
| C. | 0.8 |
| D. | 0.6 |
| Answer» C. 0.8 | |
| 350. |
Determine the Poissons ratio and bulk modulus of a material, for which Youngs modulus is 1.2 and modulus of rigidity is 4.8. |
| A. | 7 |
| B. | 8 |
| C. | 9 |
| D. | 10 |
| Answer» C. 9 | |