Home / GATE 2017-2018 / GATE Metallurgical :: Practice Test Paper 2

GATE 2017-2018 :: GATE Metallurgical

  1. From a 2 m * 1.2 m sheet, squares are cut out from each of the four corners as shown in the figure and then the sides are bent to form an open box. The maximum possible volume (in m3) of the box is __________

  2. A.
    0.257 to 0.263
    B.
    2.845 to 2.851
    C.
    2.168 to 2.174
    D.
    0.367 to 0.373

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  3. Applying the secant method, the first approximation to the root of f(x) = 1 + ln x + x/2, starting with function values at x = 0.3 and x = 0.4, is_______
  4. A.
    0.954 to 0.967
    B.
    0.163 to 0.174
    C.
    0.314 to 0.326
    D.
    0.582 to 0.594

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  5. The critical internal crack length (in mm) in a steel having KIc of 45 MPa√m to support a Mode-I stress of 400 MPa is __________
  6. A.
    7.9 to 8.3
    B.
    5.4 to 5.8
    C.
    2.9 to 3.3
    D.
    7.3 to 7.7

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  7. Ladle deoxidation of liquid steel is done at 1600°C by adding ferro-aluminium. By assuming Stokes law behaviour, time (in s) required for alumina particles of 50 μm diameter to float to the surface from a depth of 2 m would be__________ 
    [Given: density of steel = 7000 kg/m3, density of alumina = 3650 kg/m3, viscosity of steel = 6 * 10-3 kg/m/s]
  8. A.
    6767 to 6783
    B.
    2626 to 2632
    C.
    8989 to 8995
    D.
    1212 to 1218

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  9. A steel specimen containing 0.2 wt.% C is carburized in an atmosphere that maintains a carbon content of 1.2 wt.% C at the surface of the specimen. 
    Given: For carbon diffusion in austenite: D0=2.0×10-5 m2/s 
    Activation energy for diffusion, Q=142 kJ/mol

    What is the depth (in μm) from the surface of the specimen at which a composition of 0.4 wt.% C is obtained after carburizing at 870°C for 10 h?
  10. A.
    15
    B.
    84
    C.
    113
    D.
    875

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  11. A steel specimen containing 0.2 wt.% C is carburized in an atmosphere that maintains a carbon content of 1.2 wt.% C at the surface of the specimen. 
    Given: For carbon diffusion in austenite: D0=2.0×10-5 m2/s 
    Activation energy for diffusion, Q=142 kJ/mol

    How long (in h) will it take to double the depth at which 0.4 wt.% C is reached?
  12. A.
    40
    B.
    20
    C.
    18
    D.
    14

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  13. Integral enthalpy of mixing (in J/mol) of liquid (Cu, Zn) solution can be approximated by 
    ∆Hmixm = -19250 xCu xZn
    The corresponding partial molar enthalpy of mixing (in J/mol) for Cu is
  14. A.
    19250 xZn2
    B.
    -19250 xCu2
    C.
    38500 xZn - 19250 xZn2 - 19250
    D.
    -19250 xZn2

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  15. Integral enthalpy of mixing (in J/mol) of liquid (Cu, Zn) solution can be approximated by 
    ∆Hmixm = -19250 xCu xZn
    Assuming regular solution behaviour, the solution parameter (in J/mol) is
  16. A.
    -19250
    B.
    -9625
    C.
    13.75
    D.
    2315.4

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  17. The density and associated crystallinity for two polypropylene samples are as follows:
    density, g/cm3      crystallinity, %
          1.20                            50
          1.44                            80
    Density of totally amorphous polypropylene is
  18. A.
    0.64
    B.
    0.74
    C.
    0.84
    D.
    0.94

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  19. The density and associated crystallinity for two polypropylene samples are as follows:
    density, g/cm3      crystallinity, %
          1.20                            50
          1.44                            80
    The percent crystallinity of polypropylene sample having a density of 1.3 g/cm3 is
  20. A.
    54
    B.
    64
    C.
    74
    D.
    84

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