GATE Instrumentation engineering test paper 4
by Esha Upadhyay · Published · Updated
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Question 1 of 14
1. Question
A mixture contains two mutually inert solutions ‘X’ and ‘Y’ in equal volumes. The mixture is examined in a spectrophotometer using a cuvette. It is observed that the transmittance is 0.40. With only the solution ‘X’ in the same cuvette, the transmittance is 0.20. With only solution ‘Y’ in the cuvette the transmittance is
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Question 2 of 14
2. Question
Monochromatic light from a step index (n1 = 1.500; n2 = 1.485), multimode optical fiber of core diameter 100 μm is incident through air (n = 1.000) onto a linear photodetector array placed at 1 mm distance from the tip of the fiber. The tip of the fiber is polished and its exit plane is perpendicular to the axis of the fiber. The detector array is oriented parallel to the exit plane of the tip. The array consists of photodetector elements each of 5 μm diameter. The distance between the edges of two adjacent elements can be assumed to be zero. The number of elements illuminated by the light coming out of the fiber is
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Question 3 of 14
3. Question
A straight line of the form y = mx + c passes through the origin and the point (x, y) = (2, 6). The value of m is
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Question 4 of 14
4. Question
A voltage V1 is measured 100 times and its average and standard deviation are 100 V and 1.5 V respectively. A second voltage V2, which is independent of V1, is measured 200 times and its average and standard deviation are 150 V and 2 V respectively. V3 is computed as: V3 = V1 + V2. Then the standard deviation of V3 in volt is
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Question 5 of 14
5. Question
The vector that is NOT perpendicular to the vectors (i + j + k) and (i + 2j + 3k) is
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Question 6 of 14
6. Question
An air cored coil has a Q of 5 at a frequency of 100 kHz. The Q of the coil at 20 kHz (neglecting skin effect) will be
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Question 7 of 14
7. Question
If X (s) , the Laplace transform of signal x(t) is given by
X(s) = (s+2) / [(s+1)(s+3)(s+3)]
, then the value
of x(t) as t →∞ isCorrect
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Question 8 of 14
8. Question
The number of times the Nyquist plot of
G(s) = (s1)/(s+1)
will encircle the origin clockwise is
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Question 9 of 14
9. Question
The value of a0 which will ensure that the polynomial s3 + 3s2 + 2s + a0 has roots on the left half of the splane is (where number after s denotes power like s2 is s square)
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Question 10 of 14
10. Question
The input i(t) = 2sin(3t+pi) is applied to a system whose transfer function G(s) = 8/ [(s+10)(s+10)].The amplitude of the output of the system is
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Question 11 of 14
11. Question
The Boolean expression XY + ( X′+ Y′ )Z is equivalent to
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Question 12 of 14
12. Question
A 3 ½ digit DMM has an accuracy specification of ± 1 % of full scale (accuracy class 1). A reading of 100.0 mA is obtained on its 200 mA full scale range. The worst case error in the reading in milliampere is ±
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Question 13 of 14
13. Question
A peizoelectric type pressure sensor has a sensitivity of 1 mV/kPa and a bandwidth of 300 Hz to 300 kHz. For a constant (dc) pressure of 100 kPa, the steady state output of the sensor in mllivolt is
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Question 14 of 14
14. Question
The signal m(t) = cos(ωmt) is SSB (single sideband) modulated with a carrier cos(ωct) to get s(t). The signal obtained by passing s(t) through an ideal envelope detector is
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