Home / GATE 2017-2018 / GATE Aeronautical Engineering :: Practice Paper 2

GATE 2017-2018 :: GATE Aeronautical Engineering

  1. A rocket motor has a chamber pressure of 100 bar and chamber temperature of 3000 K. The ambient pressure is 1 bar. Assume that the specific heat at constant pressure is 1 kJ/kg-K. Also assume that the flow in the nozzle is isentropic and optimally expanded. The exit static temperature in K is
  2. A.
    805
    B.
    845
    C.
    905
    D.
    945

  3. Given that the Laplace transform, L(eat) = 1/(s - a) then L(e5t sinh 5t)
  4. A.
    3s/(s2 - 10s)
    B.
    15/(s2 - 10s)
    C.
    3s/(s2 + 10s)
    D.
    15/(s2 + 10s)

  5. Values of a, b and c, which render the matrix 

    orthonormal are, respectively
  6. A.
    1/√2, 1/√2, 0
    B.
    1/√6, -2/√6, 1/√6
    C.
    -1/√3, -1/√3, 1/√3
    D.
    -1/√6, 2/√6, -1/√6

  7. A glider is launched from a 500m high hilltop. Following data is available for the glider: Zero lift drag coefficient CD0 = 0.02 , aspect ratio AR = 10 and Oswald efficiency factor e = 0.95. The maximum range of the glider in km is _________
  8. A.
    1 to 2
    B.
    9 to 10
    C.
    5 to 6
    D.
    8 to 9

  9. Which one of the following criteria leads to maximum turn rate and minimum radius in a level turn flight?
  10. A.
    Highest possible load factor and highest possible velocity
    B.
    Lowest possible load factor and lowest possible velocity
    C.
    Highest possible load factor and lowest possible velocity
    D.
    Lowest possible load factor and highest possible velocity

  11. Consider an airplane with rectangular straight wing at dihedral angle T = 100 . Lift curve slope of wing airfoil section (constant over the whole span of the wing) is cla = 5.4/rad. The roll stability derivative, Clb in per radian is __________
  12. A.
    0.25 to 0.26
    B.
    -0.25 to -0.26
    C.
    0.23 to 0.24
    D.
    -0.23 to -0.24

  13. Consider one-dimensional isentropic flow at a Mach number of 0.5. If the area of cross-section of a streamtube increases by 3% somewhere along the flow, the corresponding percentage change in density is ________
  14. A.
    1
    B.
    2
    C.
    3
    D.
    4

  15. The potential flow model for a storm is represented by the superposition of a sink and a vortex. The stream function can be written in the (r, q) system as u= -A/2∏ q + T/2∏ ln r, where A = T = 100 m2/s. Assume a constant air density of 1.2 kg/m3. The gauge pressure at a distance of 100 m from the storm eye is
  16. A.
    -∞
    B.
    - 1.2/∏2
    C.
    - 1.2/2∏2
    D.
    - 1.2/4∏2

  17. Three identical eagles of wing span s are flying side by side in a straight line with no gap between their wing tips. Assume a single horse shoe vortex model (of equal strength Γ) for each bird. The net downwash experienced by the middle bird is
  18. A.
    Γ/∏s
    B.
    Γ/2∏s
    C.
    Γ/3∏s
    D.
    4Γ/3∏s

  19. Streamline pattern of flow past a cylinder is shown in the figure below. The oncoming flow is steady, irrotational and incompressible. The flow is from left to right. Bernoulli's equation CANNOT be applied between the points

  20. A.
    1 and 2
    B.
    1 and 5
    C.
    3 and 4
    D.
    5 and 6