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

GATE 2017-2018 :: GATE Instrumentation

  1. Light of wavelength 630 nm in vacuum, falling normally on a biological specimen of thickness 10 m, splits into two beams that are polarized at right angles. The refractive index of the tissue for the two polarizations are 1.32 and 1.333. When the two beams emerge, they are out of phase by
  2. A.
    0.13o
    B.
    74.3o
    C.
    90.0o
    D.
    128.6o

  3. The responsivity of the PIN photodiode shown is 0.9 A/W. To obtain Vout of “1 V for an incident optical power of 1 mW, the value of R to be used is

  4. A.
    0.9 Ω
    B.
    1.1 Ω
    C.
    0.9 kΩ
    D.
    1.1 kΩ

  5. A periodic voltage waveform observed on an oscilloscope across a load is shown. A permanent magnet moving coil (PMMC) meter connected across the same load reads

  6. A.
    4 V
    B.
    5 V
    C.
    8 V
    D.
    10 V

  7. For the circuit shown in the figure, the voltage and current expressions are 
    v(t) = E1 sin(wt) + E3 sin(3 wt) and i(t) = I1 sin(wt - φ1) + I3 sin(3 wt - φ3) + I5 sin(5 wt)
    The average power measured by the Wattmeter is

  8. A.
    1/2 E1I1 cosφ1
    B.
    1/2 [E1I1 cosφ1 + E1I3 cosφ3 + E1I5]
    C.
    1/2 [E1I1 cosφ1 + E3I3 cosφ3]
    D.
    1/2 [E1I1 cosφ1 + E3I1 cosφ1]

  9. The bridge method commonly used for finding mutual inductance is
  10. A.
    Heaviside Campbell bridge
    B.
    Schering bridge
    C.
    De Sauty bridge
    D.
    Wien bridge

  11. A fair coin is tossed till a head appears for the first time. The probability that the number of required tosses is odd, is
  12. A.
    1/3
    B.
    1/2
    C.
    2/3
    D.
    3/4

  13. Given that 
    ,the value of A3 is
  14. A.
    15 A + 12 I
    B.
    19 A + 30 I
    C.
    17 A + 15 I
    D.
    17 A + 21 I

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

  17. If VA - VB = 6 V, then VC - VD is

  18. A.
    -5 V
    B.
    2 V
    C.
    3 V
    D.
    6 V

  19. Assuming both the voltage sources are in phase, the value of R for which maximum power is transferred from circuit A to circuit B is


  20. A.
    0.8 Ω
    B.
    1.4 Ω
    C.
    2 Ω
    D.
    2.8 Ω