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

GATE 2017-2018 :: GATE ECE

  1. In the three dimensional view of a silicon n-channel MOS transistor shown below, δ = 20 nm. The transistor is of width 1 μm. The depletion width formed at every p-n junction is 10 nm. The relative permitivities of Si and SiO2 respectively, are 11.7 and 3.9, and ε0 = 8.9 * 10-12 F/m.

    The gate-source overlap capacitance is approximately
  2. A.
    0.7 fF
    B.
    0.7 pF
    C.
    0.35 fF
    D.
    0.24 pF

  3. In the three dimensional view of a silicon n-channel MOS transistor shown below, δ = 20 nm. The transistor is of width 1 μm. The depletion width formed at every p-n junction is 10 nm. The relative permitivities of Si and SiO2 respectively, are 11.7 and 3.9, and ε0 = 8.9 * 10-12 F/m.

    The source-body junction capacitance is approximately
  4. A.
    2 fF
    B.
    7 fF
    C.
    2 pF
    D.
    7 pF

  5. An infinitely long uniform solid wire of radius a carries a uniform dc current of density j.
    The magnetic field at a distance r from the center of the wire is proportional to
  6. A.
    r for r < a and 1/r2 for r > a
    B.
    0 for r < a and 1/r for r > a
    C.
    r for r < a and 1/r for r > a
    D.
    0 for r < a and 1/r2 for r > a

  7. A hole of radius b (b < a) is now drilled along the length of the wire at a distance d from the center of the wire as shown below.

    The magnetic field inside the hole is

  8. A.
    uniform and depends only on d
    B.
    uniform and depends only on b
    C.
    uniform and depends on both b and d
    D.
    non uniform

  9. The transfer function of a compensator is given as Gc (s) = (s + a)/(s + b).
    Gc (s) is a lead compensator if
  10. A.
    a =1, b = 2
    B.
    a = 3, b = 2
    C.
    a = "“3, b = "“1
    D.
    a = 3, b = 1

  11. The transfer function of a compensator is given as Gc (s) = (s + a)/(s + b).
    The phase of the above lead compensator is maximum at
  12. A.
    √2 rad/s
    B.
    √3 rad/s
    C.
    √6 rad/s
    D.
    1/√3 rad/s

  13. If (1.001)1259 = 3.52 and (1.001)2062 = 7.85, then (1.001)3321 =
  14. A.
    2.23
    B.
    4.33
    C.
    11.37
    D.
    27.64

  15. 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.
  16. A.
    should take
    B.
    shall take
    C.
    should have taken
    D.
    will have taken

  17. 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.
  18. A.
    beggary
    B.
    nomenclature
    C.
    jealousy
    D.
    nonchalance

  19. Which one of the following options is the closest in meaning to the word given below? 
    Latitude
  20. A.
    Eligibility
    B.
    Freedom
    C.
    Coercion
    D.
    Meticulousness