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GATE 2017-2018 Metallurgical

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1. A is a 2 * 2 matrix with det A = 2. The det (2A) is




2. In a production facility, iron rods are made with a mean diameter of 6 cm and standard deviation of 0.02 cm. If a large number of rods are tested, the approximate percentage of rods whose sizes fall in the range of 5.98 cm to 6.02 cm is




3. Which one of the following methods is NOT used for numerical integration? A. Rectangular ruleB. Trapezoidal ruleC. Simpson's ruleD. Cramer's rule




4. When a zinc metal rod is immersed in dilute hydrochloric acid, it results in




5. A fluid is flowing with a velocity of 0.5 m/s on a plate moving with a velocity of 0.01 m/s in the same direction. The velocity at the interface of the fluid and plate is




6. Hot metal at 1700 K is poured in a sand mould that is open at the top. Heat loss from the liquid metal takes place by




7. Which one of the following is an equilibrium defect?




8. Floatation beneficiation is based on the principle of




9. Copper can be reduced from acidic copper sulphate solution by




10. Which one is NOT an agglomeration process?




11. During LD blow in steelmaking the impurity that gets removed first is




12. During the solidification of a pure metal, it was found that dendrites are formed. Assuming that the liquid-solid interface is at the melting temperature, the temperature from the interface into the liquid




13. A peak in the X-ray diffraction pattern is observed at 2θ = 78o, corresponding to {311} planes of an fcc metal, when the incident beam has a wavelength of 0.154 nm. The lattice parameter of the metal is approximately




14. If d is the inter-planar spacing of the planes {h k l}, the inter-planar spacing of the planes {nh nk nl}, n being an integer, is




15. As temperature increases, the electrical resistivities of pure metals (ρm) and intrinsic semiconductors (ρs) vary as follows




16. At equilibrium spacing in a crystalline solid, which of the following is true for net inter-atomic force (F) and potential energy (U)




17. The property of a material that CANNOT be significantly changed by heat treatment is




18. A polymer matrix composite is reinforced with long continuous ceramic fibres aligned in one direction. The Young's moduli of the matrix and fibres are Em and Ef respectively, and the volume fraction of the fibres is f. Assuming iso-stress condition, Young's modulus of the composite EC in a direction perpendicular to the length of fibres, is given by the expression




19. Which of the following is NOT a fusion welding process?




20. Which of the following is NOT a fusion welding process?




21. The riser is designed such that the melt in the riser solidifies




22. Radiography technique of detecting defects is based on the principle of




23. At x = 0.5, the polynomial x2(1-x)2 has




24. Given that v is a vector field and f is a scalar field, match the equations in Group I with their physical meaning in Group II Group I Group II P. div (v) = 0 1 . I r r otational Q. curl (grad(f)) = 0 2 . Incompressible R. div (grad(f)) = 0 3 . Potential S. v = grad(f) 4 . Laplace equation




25. The temperature field of a slab is given by T = 400 - 50z exp(-t - x2 - y2). The temperature gradient in y-direction is




26. What does the solution of the following ordinary differential equation represent? y dy/dx + x = 0




27. Match the principles given in Group I with corresponding corrosion terminology in Group II Group I Group II P. Electrode polarization 1. Dezincification Q. Passivity 2. Intergranular attack R. Selective leaching 3. Over voltage S. Grain boundary precipitation 4. Surface oxide film




28. Identify the correct combination of the following statements P. Hydrogen electrode is a standard used to measure redox potentials Q. Activation polarization refers to electrochemical processes controlled by reaction sequence at metal-solution interface R. Potential-pH diagrams can be used to predict corrosion rates of metals S. Cathodic protection can use sacrificial anodes such as magnesium




29. Consider a reaction with activation energy of 8.314 kJ/mol that takes place at 300 K. If the reaction rate is to be tripled, the temperature of the reaction should be




30. Match the processes in Group I with the objectives in Group II Group I Group II P. Vacuum Arc Degassing (VAD) 1. Primary iron making Q. LD 2. Secondary steel making R. COREX 3. Direct smelting S. Blast Furnace 4. Primary steel making




31. The reduction of FeO with CO gas in co-current flow is given by the following equation: FeO + CO = Fe + CO2 ∆Go = 8120 J at 1173 K The ratio of pCO/pCO2 for this reaction at 1173 K is




32. The sulphide capacity (CS) of liquid slag of composition 55 wt.% CaO, 20 wt.% SiO2, 5 wt.% Al2O3, and 10 wt.% MgO is given by the following equation log CS = 3.44 (XCaO + 0.1 XMgO - 0.8 XAl2O3 - XSiO2) - (9894/T) + 2.05 where, X is mole fraction of the respective components. Atomic weights of Ca, Mg, Si, Al and O are 40, 24, 28, 27 and 16 respectively. The value of CS at 1900 K is




33. Identify the correct combination of the following statements P. Bessemer converter can be used in copper smelting Q. The Mond process for nickel involves reaction of metal with H2 gas R. Roasted ZnS concentrates can be smelted in a blast furnace S. Magnesium metal can be produced by electrolysis of sea water




34. Match the phases of steel in Group I with the crystal structures in Group II Group I Group II P. Martensite 1. bcc Q. Cementite 2. fcc R. Austenite 3. bct S. Ferrite 4. Orthorhombic




35. Arrange the following in terms of increasing severity of quench P. Oil quenching Q. Water quenching R. Water quenching with agitation S. Brine quenching




36. Arrange the following in terms of increasing severity of quench P. Oil quenching Q. Water quenching R. Water quenching with agitation S. Brine quenching




37. Regarding recrystallization, which one of the following statements is NOT correct?




38. Match the phenomena listed in Group I with the possible mechanisms in Group II Group I Group II P. Fatigue 1. Grain boundary sliding Q. Creep 2. Slip band extrusion and intrusion R. Strain hardening 3. Cottrell atmosphere S. Yield point phenomenon 4. Dislocation interaction




39. Fracture stress for a brittle material having a crack length of 1 μm is 200 MPa. Fracture stress for the same material having a crack length of 4 μm is




40. The flow stress of an alloy varies with strain rate MPa. When the alloy is hot extruded from 10 cm diameter to 5 cm diameter at a speed of 2 cm/s, the flow stress is




41. Determine the correctness or otherwise of the following Assertion (a) and Reason (r). Assertion : During rolling, front tension and (or) back tension are (is) employed to decrease rolling load. Reason : Roll pressure decreases due to lowering of flow stress as a result of front tension/back tension.




42. Match the defects listed in Group I with the processes listed in Group II Group I Group II P. Cold shut 1. Rolling Q. Earing 2. Forging R. Alligatoring 3. Deep drawing S. Shrinkage porosity 4. Fusion welding




43. A steel ball (density ρsteel = 7200 kg/m3) is placed in an upward moving liquid Al (density ρAl = 2360 kg/m3, viscosity μAl = 1 * 10“3 Pa.s and Reynolds number = 5 * 105). The force (F) exerted on the steel ball is expressed as F = f Ï€ R2(ρAl v2/2) where, f is friction factor (=0.2), v is the velocity of liquid Al and R is the radius of steel ball. The force exerted on the steel ball is




44. A material with grain size of ASTM No. 6 has a lattice frictional stress 100 MN/m2 and locking parameter (Hall-Petch constant) 0.10 MN/m3/2 Grain size of the material is approximately




45. A material with grain size of ASTM No. 6 has a lattice frictional stress 100 MN/m2 and locking parameter (Hall-Petch constant) 0.10 MN/m3/2 Yield strength of the material is approximately




46. The strain hardening behaviour of an annealed rod during cold rolling is given by = 700(ε)0.2 MPa, where is the flow stress at strain ε. Flow stress after 50% reduction in area of the annealed rod on cold rolling is approximately




47. Which one of the following options is the closest in meaning to the word given below? Latitude




48. Choose the most appropriate word from the options given below to complete the following sentence: Given the seriousness of the situation that he had to face, his ___ was impressive.




49. Choose the most appropriate alternative from the options given below to complete the following sentence: If the tired soldier wanted to lie down, he ___ the mattress out on the balcony.




50. One of the parts (A, B, C, D) in the sentence given below contains an ERROR. Which one of the following is INCORRECT? I requested that he should be given the driving test today instead of tomorrow.




51. If (1.001)1259 = 3.52 and (1.001)2062 = 7.85, then (1.001)3321 =




52. There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balance, the minimum number of weighings required to identify the heavier bag is




53. Raju has 14 currency notes in his pocket consisting of only Rs. 20 notes and Rs. 10 notes. The total money value of the notes is Rs. 230. The number of Rs. 10 notes that Raju has is




54. One of the legacies of the Roman legions was discipline. In the legions, military law prevailed and discipline was brutal. Discipline on the battlefield kept units obedient, intact and fighting, even when the odds and conditions were against them. Which one of the following statements best sums up the meaning of the above passage?




55. and B are friends. They decide to meet between 1 PM and 2 PM on a given day. There is a condition that whoever arrives first will not wait for the other for more than 15 minutes. The probability that they will meet on that day is