Instrumentation(Gate > 2017-2018 ) Questions and Answers

Question 1. The transfer function of a compensator is given as Gc (s) = (s + a)/(s + b). Gc (s) is a lead compensator if
  1.    a =1, b = 2
  2.    a = 3, b = 2
  3.    a = "“3, b = "“1
  4.    a = 3, b = 1
Explanation:-
Answer: Option A. -> a =1, b = 2


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Question 2. The transfer function of a compensator is given as Gc (s) = (s + a)/(s + b). The phase of the above lead compensator is maximum at
  1.    √2 rad/s
  2.    √3 rad/s
  3.    √6 rad/s
  4.    1/√3 rad/s
Explanation:-
Answer: Option A. -> √2 rad/s


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Question 3. There are eight bags of rice looking alike, seven of which have equal weight and one is slightly
heavier. The weighing balance is of unlimited capacity. Using this balance, the minimum number
of weighings required to identify the heavier bag is
  1.    2
  2.    3
  3.    4
  4.    8
Explanation:-
Answer: Option A. -> 2


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Question 4. 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
  1.    w = 1 rad/s
  2.    w = 2 rad/s
  3.    w = 3 rad/s
  4.    w = 4 rad/s
Explanation:-
Answer: Option C. -> w = 3 rad/s


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Question 5. 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
  1.    4
  2.    6
  3.    8
  4.    10
Explanation:-
Answer: Option B. -> 6


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Question 6. 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
  1.    1/3 < |z| < 3
  2.    1/3 < |z| < 1/2
  3.    1/2 < |z| < 3
  4.    1/3 < |z|
Explanation:-
Answer: Option C. -> 1/2 < |z| < 3


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Question 7. In the sum of products function f (X, Y, Z) = Σ(2, 3, 4, 5) , the prime implicants are
  1.    .
  2.    .
  3.    .
  4.    .
Explanation:-
Answer: Option A. -> .


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Question 8. 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
  1.    0.13o
  2.    74.3o
  3.    90.0o
  4.    128.6o
Explanation:-
Answer: Option B. -> 74.3o


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Question 9. The bridge method commonly used for finding mutual inductance is
  1.    Heaviside Campbell bridge
  2.    Schering bridge
  3.    De Sauty bridge
  4.    Wien bridge
Explanation:-
Answer: Option A. -> Heaviside Campbell bridge


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Question 10. A fair coin is tossed till a head appears for the first time. The probability that the number of
required tosses is odd, is
  1.    1/3
  2.    1/2
  3.    2/3
  4.    3/4
Explanation:-
Answer: Option C. -> 2/3


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