GATE Instrumentation engineering test paper 3
by Esha Upadhyay · Published · Updated
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Question 1 of 14
1. Question
A full duplex binary FSK transmission is made through a channel of bandwidth 10 kHz. In each direction of transmission the two carriers used for the two states are separated by 2 kHz. The maximum baud rate for this transmission is:
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Question 2 of 14
2. Question
A loop transfer function is given by :
G(s)H(s) = K(s+2) / [s*s(s+10)]
The point of intersection of the asymptotes of G(s)H(s) on the real axis in the s plane is at
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Question 3 of 14
3. Question
A plant has an openloop transfer function,
Gp(s) = 20 / [(s+.01)(s+2)(s+100)]
The approximate model obtained by retaining only one of the above poles, which is closest to the frequency response of the original transfer function at low frequency is
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Question 4 of 14
4. Question
In order to remove respiration related motion artifacts from an ECG signal, the following filter should be used:
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Question 5 of 14
5. Question
In a timeofflight mass spectrometer if q is the charge and m the mass of the ionized species,then the time of flight is proportional to
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Question 6 of 14
6. Question
The resistance of a wire is given by the expression
R = 4ρL/ piD*D
where, ρ is the resistivity (Ωmeter),L is the length (meter) and D (meter) is the diameter of the wire. The error in measurement of each of the parameters ρ, L, and D is ±1.0% . Assuming that the errors are independent random variables, the percent error in measurement of R is (pi is the constant 3.14)
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Question 7 of 14
7. Question
A thermistor has a resistance of 1 kΩ at temperature 298 Kand 465 Ω at temperature 316 K. The temperature sensitivity in K1[i.e. (1/R)(dR/dT), where R is the resistance at the temperature T(in K)], of this thermistor at 316 K is
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Question 8 of 14
8. Question
A barium titanate piezoelectric crystal with d33=150 pC/N, Ccrystal = 25 pF and Rcrystal = 1010 Ω is used to measure the amplitude of a step force. The voltage output is measured using a digital voltmeter with input impedance 1013 Ω connected across the crystal. All other capacitances and resistances may be neglected. A step force of 2 N is applied from direction “3” on the crystal. The time in milliseconds within which the voltmeter should sample the crystal output voltage so that the drop from the peak value is no more than 0.12V is
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Question 9 of 14
9. Question
A thermopile is constructed using 10 junctions of ChromelConstantan (sensitivity 60μV/°C for each junction) connected in series. The output is fed to an amplifier having an infinite input impedance and a gain of 10. The output from the amplifier is acquired using a 10bit ADC, with reference voltage of 5 V. The resolution of this system in units of °C is
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Question 10 of 14
10. Question
x(k)is the Discrete Fourier Transform of a 6point real sequence x(n). If x(0) = 9 +j0,x(2) = 2 +j2,x(3) = 3 –j0,x(5) = 1 – j1,x(0) is
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Question 11 of 14
11. Question
The transfer function of a digital system is given by:
b0 / (1 z to the power 1 + a z to the power 2) where a is real.
The transfer function is BIBO stable if the value of a is
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Question 12 of 14
12. Question
Frequency of an analog periodic signal in the range of 5kHz – 10kHz is to be measured with a resolution of 100Hz by measuring its period with a counter. Assuming negligible signal and transition delays the minimum clock frequency and minimum number of bits in the counter needed, respectively, are:
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Question 13 of 14
13. Question
The loop transfer function of a feedback control system is given by
G(s)H(s) = 1/ [s(s+1)(9s+1)]
In phase cross over frequency (in rad/s) approximated to two decimal places is
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Question 14 of 14
14. Question
Consider a transport lag process with a transfer function
Gp(s) = e to the power s
The process is controlled by a purely integral controller with transfer function
Gc(s) = Ki/s
in a unity feedback configuration.The vlaue of Ki for which the closed loop plant has a pole at s = 1 is
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