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GATE 2017-2018 :: GATE ECE

  1. 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
  2. A.
    an AND gate
    B.
    an OR gate
    C.
    an XOR gate
    D.
    a NAND gate

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  3. Consider a vector field . The closed loop line integral  can be expressed as
  4. A.

     over the closed surface bounded by the loop

    B.
     over the closed volume bounded by the loop

    C.
     over the open volume bounded by the loop

    D.
     over the open surface bounded by the loop

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  5. Two systems with impulse responses h1 (t) and h2 (t) are connected in cascade. Then the overall impulse response of the cascaded system is given by
  6. A.
    product of h1 (t) and h2 (t)
    B.
    sum of h1 (t) and h2 (t)
    C.
    convolution of h1 (t) and h2 (t)
    D.
    subtraction of h2 (t) and h1 (t)

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  7. In a forward biased pn junction diode, the sequence of events that best describes the mechanism of current flow is
  8. A.
    injection, and subsequent diffusion and recombination of minority carriers
    B.
    injection, and subsequent drift and generation of minority carriers
    C.
    extraction, and subsequent diffusion and generation of minority carriers
    D.
    extraction, and subsequent drift and recombination of minority carriers

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  9. In IC technology, dry oxidation (using dry oxygen) as compared to wet oxidation (using steam or water vapor) produces
  10. A.
    superior quality oxide with a higher growth rate
    B.
    inferior quality oxide with a higher growth rate
    C.
    inferior quality oxide with a lower growth rate
    D.
    superior quality oxide with a lower growth rate

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  11. The maximum value of θ until which the approximation sinθ ≈ θ holds to within 10% error is
  12. A.
    10o
    B.
    18o
    C.
    50o
    D.
    90o

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  13. The impulse response of a system is h(t) = t u(t) . For an input u(t -1) , the output is
  14. A.
    t2/2 u(t)
    B.
    t(t - 1)/2 u(t - 1)
    C.
    (t - 1)2/2 u(t - 1)
    D.
    (t2 - 1)/2 u(t - 1)

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  15. 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
  16. A.
    39.8/s
    B.
    39.8/s2
    C.
    32/s
    D.
    32/s2

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  17. In the circuit shown below what is the output voltage (Vout) if a silicon transistor Q and an ideal op-amp are used?

  18. A.
    -15 V
    B.
    -0.7 V
    C.
    +0.7 V
    D.
    +15 V

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  19. 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

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

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