GATE Instrumentation engineering test paper 3
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Question 1 of 14
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:Correct
Question 2 of 14
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 atCorrect
Question 3 of 14
A plant has an open-loop 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 isCorrect
Question 4 of 14
In order to remove respiration related motion artifacts from an ECG signal, the following filter should be used:Correct
Question 5 of 14
In a time-of-flight mass spectrometer if q is the charge and m the mass of the ionized species,then the time of flight is proportional toCorrect
Question 6 of 14
The resistance of a wire is given by the expression
R = 4ρL/ piD*D
where, ρ is the resistivity (Ω-meter),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)Correct
Question 7 of 14
A thermistor has a resistance of 1 kΩ at temperature 298 Kand 465 Ω at temperature 316 K. The temperature sensitivity in K-1[i.e. (1/R)(dR/dT), where R is the resistance at the temperature T(in K)], of this thermistor at 316 K isCorrect
Question 8 of 14
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 isCorrect
Question 9 of 14
A thermopile is constructed using 10 junctions of Chromel-Constantan (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 10-bit ADC, with reference voltage of 5 V. The resolution of this system in units of °C isCorrect
Question 10 of 14
x(k)is the Discrete Fourier Transform of a 6-point real sequence x(n). If x(0) = 9 +j0,x(2) = 2 +j2,x(3) = 3 –j0,x(5) = 1 – j1,x(0) isCorrect
Question 11 of 14
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 isCorrect
Question 12 of 14
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:Correct
Question 13 of 14
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 isCorrect
Question 14 of 14
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 isCorrect