GATE Instrumentation engineering test paper 5
by Esha Upadhyay · Published · Updated
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Question 1 of 14
1. Question
Let s(t) = rect(t3/3) be a signal passed through an AWGN (additive white Gaussian noise) channel with noise power spectral density PSD No/2 to get v(t). If v(t) is passed through a matchedfilter that is matched to s(t) then output signal to noise ratio (SNR) of the matched filter is
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Question 2 of 14
2. Question
Let f : [−1,1]→R, where f (x) = 2×3 − x4 −10. The minimum value of f (x) is (number after x denotes power of x that is x3 is cube of x)
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Question 3 of 14
3. Question
An urn contains 5 red and 7 green balls. A ball is drawn at random and its colour is noted. The ball is placed back into the urn along with another ball of the same colour. The probability of getting a red ball in the next draw is
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Question 4 of 14
4. Question
A symmetrical threephase threewire RYB system is connected to a balanced deltaconnected load. The RMS values of the line current and linetoline voltage are 10 A and 400 V respectively. The power in the system is measured using the two wattmeter method. The first wattmeter connected between Rline and Yline reads zero. The reading of the second wattmeter (connected between Bline and Yline) in watt is
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Question 5 of 14
5. Question
The fundamental period No of the discretetime sinusoid x(n) = sin (301*pi*n/4) is (where pi is constant 3.14)
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Question 6 of 14
6. Question
A coil is tested with a series type Qmeter. Resonance at a particular frequency is obtained with a capacitance of 110 pF. When the frequency is doubled, the capacitance required for resonance is 20 pF. The distributed capacitance of the coil in pico farad is
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Question 7 of 14
7. Question
A 200 mV full scale dualslope 3 ½ digit DMM has a reference voltage of 100 mV and a first integration time of 100 ms. For an input of [100 + 10 Cos(100πt)] mV, the conversion time (without taking the autozero phase time into consideration) in millisecond is
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Question 8 of 14
8. Question
The bandgap in eV of a semiconductor material required to construct an LED that emits peak power at the wavelength of 620 nm is
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Question 9 of 14
9. Question
The signal m(t) = sin(100*pi*t)/100*pi*t is frequency modulated (FM) with an FM modulator of frequency deviation constant of 30 kHz/V.Using Carson’s rule the approximation bandwidth of the modulated wave in Kilohertz is
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Question 10 of 14
10. Question
A signal m(t) varies from −3.5 V to +3.5 V with an average power of 3 W. The signal is quantized using a midtread type quantizer and subsequently binary encoded. With the codeword of length 3, the signal to quantization noise ratio in dB is
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Question 11 of 14
11. Question
Let A be an n*n matrix with rank r(0
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Question 12 of 14
12. Question
The torque transmitted by a cylindrical shaft is to be measured by using two strain gauges.The angles for mounting the strain gauges relative to the axis of the shaft for maximum sensitivity are
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Question 13 of 14
13. Question
A p type semiconductor strain gauge has a nominal resistance of 1000 ohm and a gauge factor of +200 at 25 degree C.The resistance of the strain gauge in ohms when subjected to strain of .0001 m/m at the same temperature is
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Question 14 of 14
14. Question
Liquid flow rate is measured using
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