GATE IN topic:instrumentation PYQs & Answers — Page 62

Questions 611–620 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 62 of 65

The probability that a communication system will have high fidelity is 0.81. The probability that the system will have both high fidelity and high selectivity is 0.18. The probability that a given system with high fidelity will have high selectivity is

Your answerChoose one option.

0.181

0.191

0.22

0.826

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The angle between two vectors

and

in radian is __________.

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The following table lists an

order polynomial

and the forward differences evaluated at equally spaced values of

. The order of the polynomial is


-0.4	1.7648	-0.2965	0.089	-0.03
-0.3	1.4683	-0.2075	0.059	-0.0228
-0.2	1.2608	-0.1485	0.0362	-0.0156
-0.1	1.1123	-0.1123	0.0206	-0.0084
0	1	-0.0917	0.0122	-0.0012
0.1	0.9083	-0.0795	0.011	0.006
0.2	0.8288	-0.0685	0.017	0.0132

Your answerChoose one option.

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The current response of a series R-L circuit to a unit step voltage is given in the table. The value of L is __________ H.

in s	0	0.25	0.5	0.75	1.0	…
in A	0	0.197	0.316	0.388	0.432	…	0.5

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For the circuit, shown in the figure, the total real power delivered by the source to the loads is __________ kW.

Diagram for Instrumentation Engineering question 30

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A series R-L-C circuit is excited with an a.c. voltage source. The quality factor (

) of the circuit is given as

. The amplitude of current in ampere at upper half-power frequency will be __________.

Diagram for Instrumentation Engineering question 31

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In the circuit diagram, shown in the figure,

was closed and

was open for a very long time. At

is opened and

is closed. The voltage across the capacitor, in volt, at

s is __________.

Diagram for Instrumentation Engineering question 32

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Consider two discrete-time signals:

and

, for

. The Z-transform of the convolved sequence

Your answerChoose one option.

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Three DFT coefficients, out of five DFT coefficients of a five-point real sequence are given as:

and

. The zero-th value of the sequence

, is

Your answerChoose one option.

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The Laplace transform of a causal signal

. The value of the signal

is __________ unit.

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GATE IN topic:instrumentation PYQs

Question 26

Question 27

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Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35