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GATE 2017-2018 :: GATE EEE

  1. A continuous random variable X has a probability density function f(x) = e-x , 0 < x < ∞. Then P{X > 1} is
  2. A.
    0.368
    B.
    0.5
    C.
    0.632
    D.
    1.0

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  3. In the feedback network shown below, if the feedback factor k is increased, then the

  4. A.
    input impedance increases and output impedance decreases.
    B.
    input impedance increases and output impedance also increases.
    C.
    input impedance decreases and output impedance also decreases.
    D.
    input impedance decreases and output impedance increases.

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  5. The Bode plot of a transfer function G(s) is shown in the figure below.

    The gain (20 log |G(s)|) is 32 dB and “8 dB at 1 rad/s and 10 rad/s respectively. The phase is negative for all ω. Then G(s) is
  6. A.
    39.8/s
    B.
    39.8/s2
    C.
    32/s
    D.
    32/s2

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  7. A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned ON and also can be turned OFF by any one of the switches irrespective of the state of the other switch. The logic of switching of the bulb resembles
  8. A.
    an AND gate
    B.
    an OR gate
    C.
    an XOR gate
    D.
    a NAND gate

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  9. For a periodic signal v(t) = 30 sin100t + 10 cos 300t + 6 sin (500t + π / 4) , the fundamental frequency in rad/s is
  10. A.
    100
    B.
    300
    C.
    500
    D.
    1500

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  11. A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency in kHz which is not valid is
  12. A.
    5
    B.
    12
    C.
    15
    D.
    20

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  13. Consider a delta connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor k, k > 0, the elements of the corresponding star equivalent will be scaled by a factor of

  14. A.
    k2
    B.
    k
    C.
    1/k
    D.
    √k

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  15. The angle δ in the swing equation of a synchronous generator is the
  16. A.
    angle between stator voltage and current.
    B.
    angular displacement of the rotor with respect to the stator.
    C.
    angular displacement of the stator mmf with respect to a synchronously rotating axis.
    D.
    angular displacement of an axis fixed to the rotor with respect to a synchronously rotating axis.

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  17. Leakage flux in an induction motor is
  18. A.
    flux that leaks through the machine
    B.
    flux that links both stator and rotor windings
    C.
    flux that links none of the windings
    D.
    flux that links the stator winding or the rotor winding but not both

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  19. Three moving iron type voltmeters are connected as shown below. Voltmeter readings are V, V1 and V2, as indicated. The correct relation among the voltmeter readings is

  20. A.
    V = V1/√2 + V2/√2
    B.
    V = V1 + V2
    C.
    V = V1V2
    D.
    V = V2 - V1

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