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GATE 2017-2018 :: GATE ECE

  1. In the CMOS circuit shown, electron and hole mobilities are equal, and M1 and M2 are equally sized. The device M1 is in the linear region if

  2. A.
    Vin < 1.875 V
    B.
    1.875 V < Vin < 3.125 V
    C.
    Vin > 3.125 V
    D.
    0 < Vin < 5 V

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  3. A binary symmetric channel (BSC) has a transition probability of 1/8. If the binary transmit symbol X is such that P(X=0) = 9/10, then the probability of error for an optimum receiver will be
  4. A.
    7/80
    B.
    63/80
    C.
    9/10
    D.
    1/10

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  5. The signal m(t) as shown is applied both to a phase modulator (with kp as the phase constant) and a frequency modulator (with kf as the frequency constant) having the same carrier frequency. 

    The ratio kp/kf (in rad/Hz) for the same maximum phase deviation is
  6. A.
    8Ï€
    B.
    4Ï€
    C.
    2Ï€
    D.
    π

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  7. The circuit shown is a

  8. A.
    low pass filter with f3dB = 1/(R1 + R2)C rad/s
    B.
    High pass filter with f3dB = 1/R1C rad/s
    C.
    low pass filter with f3dB = 1/R1C rad/s
    D.
    High pass filter with f3dB = 1/(R1 + R2)C rad/s

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  9. The state transition diagram for the logic circuit shown is

  10. A.
    .

    B.
    .

    C.
    .

    D.
    .

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  11. The voltage gain Av of the circuit shown below is

  12. A.
    |Av| ≈ 200
    B.
    |Av| ≈ 100
    C.
    |Av| ≈ 20
    D.
    |Av| ≈ 10

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  13. The maximum value of f(x) = x3 - 9x2 +24x + 5 in the interval [1, 6] is
  14. A.
    21
    B.
    25
    C.
    41
    D.
    46

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  15. Given that A =  and I =  the value of A3 is
  16. A.
    15 A + 12 I
    B.
    19 A + 30 I
    C.
    17 A + 15 I
    D.
    17 A + 21 I

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  17. With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed: 
    (i) 1 Ω connected at port B draws a current of 3 A 
    (ii) 2.5 Ω connected at port B draws a current of 2 A

    With 10 V dc connected at port A, the current drawn by 7 Ω connected at port B is
  18. A.
    3/7 A
    B.
    5/7 A
    C.
    1 A
    D.
    9/7 A

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  19. With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed: 
    (i) 1 Ω connected at port B draws a current of 3 A 
    (ii) 2.5 Ω connected at port B draws a current of 2 A

    For the same network, with 6 V dc connected at port A, 1 Ω connected at port B draws 7/3 A. If 8 V dc is connected to port A, the open circuit voltage at port B is
  20. A.
    6 V
    B.
    7 V
    C.
    8 V
    D.
    9 V

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