GATE Instrumentation engineering test paper 2
by Esha Upadhyay · Published · Updated
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Question 1 of 15
1. Question
An analog voltmeter uses external multiplier settings. With a multiplier setting of 20 kohm it reads 440 V and with a multiplier setting of 80 kohm it reads 352 V. For a multiplier setting of 40 kohm the voltmeter reads
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Question 2 of 15
2. Question
The open loop transfer function of a unity negative feedback control system is given by
G(s) = 150/[s(s+9)(s+25)]. The gain margin of the system is
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Question 3 of 15
3. Question
The transfer function of a compensator is given as
Gc(s) = (s+a)/(s+b). Gc(s) is lead compensator if
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Question 4 of 15
4. Question
Given x(t) =3sin(1000*pi*t) and y(t) = 5cos(1000*pi*t + pi/4).The x y plot will be (take pi as constant 3.14)
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Question 5 of 15
5. Question
Given that x is a random variable in the range[0,∞]with a probability density function (e to the power x/2)/K the value of the constant K is
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Question 6 of 15
6. Question
A vector is defined as
f = yˆi + xˆj + zkˆ
where ˆi, ˆj and kˆ are unit vectors in Cartesian (x,y,z) coordinate system.The surface integral f.ds over the closed surface S of a cube with vertices having the following coordinates: (0,0,0), (1,0,0), (1,1,0), (0,1,0), (0,0,1), (1,0,1), (1,1,1), (0,1,1) isCorrect
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Question 7 of 15
7. Question
The average real power in watts delivered to a load impedance ZL= (4 − j2)Ω by an ideal current source i(t) = 4sin(ωt+ 20°)A is
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Question 8 of 15
8. Question
Time domain expressions for the voltage v1(t) and v2(t) are given as v1(t) = Vmsin(10t− 130°) and v2(t) =Vmcos(10t+ 10°).Which one of the following statements is TRUE?
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Question 9 of 15
9. Question
A pHelectrode obeys Nernst equation and is being operated at 25°C. The change in the open circuit voltage in millivolts across the electrode for a pH change from 6 to 8 is
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Question 10 of 15
10. Question
The pressure and velocity at the throat of a Venturi tube, measuring the flow of a liquid, are related to the upstream pressure and velocity, respectively, as follows:
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Question 11 of 15
11. Question
Semiconductor strain gages typically have much higher gage factors than those of metallic strain gages, primarily due to :
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Question 12 of 15
12. Question
For a rotameter, which one of the following statements is TRUE?
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Question 13 of 15
13. Question
The system function of an LTI system is given by
H(z) = (3z1)/(4z1)
The above system can have stable inverse if the region of convergence of H(z) is defined as
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Question 14 of 15
14. Question
The impulse response of an LTI system is given as :
h[n] = w / pi for n = 0
h[n] = sin wn/ pin for n not equal to 0It represents an ideal (note pi is the constant 3.14)
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Question 15 of 15
15. Question
A discretetime signal x[n] is obtained by sampling an analog signal at 10 kHz. The signal x[n] is filtered by a system with impulse response h[n] = 0.5{a[n] +a[n− 1]}. The 3dB cutoff frequency of the filter is:
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