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GATE 2017-2018 :: GATE Instrumentation

  1. A system with transfer function G(s) = [(s2 + 9)(s + 2)]/[(s + 1)(s + 3)(s + 4)]
    is excited by sin(w t) . The steady-state output of the system is zero at
  2. A.
    w = 1 rad/s
    B.
    w = 2 rad/s
    C.
    w = 3 rad/s
    D.
    w = 4 rad/s

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  3. The output Y of a 2-bit comparator is logic 1 whenever the 2-bit input A is greater than the 2-bit input B. The number of combinations for which the output is logic 1, is
  4. A.
    4
    B.
    6
    C.
    8
    D.
    10

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  5. In the sum of products function f (X, Y, Z) = Σ(2, 3, 4, 5) , the prime implicants are
  6. A.
    .

    B.
    .

    C.
    .

    D.
    .

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  7. Consider the given circuit.

    In this circuit, the race around
  8. A.
    does not occur
    B.
    occurs when CLK = 0
    C.
    occurs when CLK = 1 and A = B = 1
    D.
    occurs when CLK = 1 and A = B = 0

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  9. If x[n] = (1/3)|n| - (1/2)nu[n], then the region of convergence (ROC) of its Z-transform in the Z-plane will be
  10. A.
    1/3 < |z| < 3
    B.
    1/3 < |z| < 1/2
    C.
    1/2 < |z| < 3
    D.
    1/3 < |z|

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  11. A capacitive motion transducer circuit is shown. The gap d between the parallel plates of the capacitor is varied as d(t) = 10-3[1 + 0.1 sin(1000 πt)]. If the value of the capacitance is 2pF at t = 0 ms, the output voltage VO at t = 2 ms is

  12. A.
    π/2 mV
    B.
    π mV
    C.
    2Ï€ mV
    D.
    4Ï€ mV

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  13. A psychrometric chart is used to determine
  14. A.
    pH
    B.
    Sound velocity in glasses
    C.
    CO2 concentration
    D.
    Relative humidity

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  15. A strain gauge is attached on a cantilever beam as shown. If the base of the cantilever vibrates according to the equation x(t) = sin w1t + sin w2t, where 2 rad/s < w1, w2 < 3 rad/s, then the output of the strain gauge is proportional to

  16. A.
    x
    B.
    dx/dt
    C.
    d2x/dt2
    D.
    d(x - y)/dt

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  17. The transfer function of a Zero-Order-Hold system with sampling interval T is
  18. A.
    1/s(1 - e-Ts)
    B.
    1/s(1 - e-Ts)2
    C.
    1/s e-Ts
    D.
    1/s2 e-Ts

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  19. An LED emitting at 1 m with a spectral width of 50 nm is used in a Michelson interferometer. To obtain a sustained interference, the maximum optical path difference between the two arms of the interferometer is
  20. A.
    200 μm
    B.
    20 μm
    C.
    1 μm
    D.
    50 μm

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