Home / GATE 2017-2018 / GATE Metallurgical :: Practice Test Paper 1

GATE 2017-2018 :: GATE Metallurgical

  1. Which of the following is NOT a fusion welding process?
  2. A.
    Arc welding
    B.
    Gas welding
    C.
    Resistance welding
    D.
    Friction stir welding

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  3. The riser is designed such that the melt in the riser solidifies
  4. A.
    Before casting solidifies
    B.
    At the same time as casting solidifies
    C.
    After casting solidifies
    D.
    Irrespective of the solidification of the casting

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  5. Radiography technique of detecting defects is based on the principle of
  6. A.
    Diffraction
    B.
    Reflection
    C.
    Interference
    D.
    Absorption

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  7. At x = 0.5, the polynomial x2(1-x)2 has
  8. A.
    No extrema
    B.
    A saddle point
    C.
    A minima
    D.
    A maxima

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  9. 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
  10. A.
    P-1, Q-2, R-3, S-4
    B.
    P-2, Q-1, R-4, S-3
    C.
    P-1, Q-3, R-2, S-4
    D.
    P-2, Q-1, R-3, S-4

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  11. The temperature field of a slab is given by T = 400 - 50z exp(-t - x2 - y2). The temperature gradient in y-direction is
  12. A.
    100yz exp(-t - x2 - y2)
    B.
    -100yz exp(-t - x2 - y2)
    C.
    100xz exp(-t - x2 - y2)
    D.
    -100xz exp(-t - x2 - y2)

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  13. What does the solution of the following ordinary differential equation represent?
    y dy/dx + x = 0
  14. A.
    A parabola
    B.
    A circle
    C.
    An ellipse
    D.
    A hyperbola

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  15. A thin layer of material B (of total amount m) is plated on the end faces of two long rods of material A. These are then joined together on the plated side (see the figure below) and heated to a high temperature. Assuming the diffusion coefficient of B in A is D, the composition profile cB along the rod axis x after a time t is described by

  16. A.
    cB = m/(2√Ï€Dt) exp[-x2/4Dt]
    B.
    cB = m/(2√Ï€Dt) erf[-x2/4Dt]
    C.
    cB = m/(2√Ï€Dt) [1 - erf(-x2/4Dt)]
    D.
    cB = m/(2√Ï€Dt) t

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  17. 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
  18. A.
    P-3, Q-4, R-1, S-2
    B.
    P-3, Q-4, R-2, S-1
    C.
    P-4, Q-2, R-1, S-3
    D.
    P-2, Q-1, R-4, S-3

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  19. 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
  20. A.
    P, Q and R
    B.
    Q, R and S
    C.
    P, Q and S
    D.
    P, R and S

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