GATE ECE year:2019 PYQs & Answers — Page 5

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Questions 41–50 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 5 of 7

Consider a causal second-order system with the transfer function

with a unit-step

as an input. Let

be the corresponding output. The time taken by the system output

to reach 94% of its steady-state value

, rounded off to two decimal places, is

Your answerChoose one option.

5.25

4.50

3.89

2.81

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The block diagram of a system is illustrated in the figure shown, where

is the input and

is the output. The transfer function

Diagram for Electronics and Communication Engineering question 32

Your answerChoose one option.

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Let the state-space representation of an LTI system be

where

are matrices,

is a scalar,

is the input to the system, and

is its output. Let

and

. Which one of the following options for

and

will ensure that the transfer function of this LTI system is

Your answerChoose one option.

and

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A single bit, equally likely to be 0 and 1, is to be sent across an additive white Gaussian noise (AWGN) channel with power spectral density

. Binary signaling, with

and

, is used for the transmission, along with an optimal receiver that minimizes the bit-error probability. Let

form an orthonormal signal set. If we choose

and

, we would obtain a certain bit-error probability

. If we keep

, but take

, for what value of

would we obtain the same bit-error probability

Your answerChoose one option.

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The quantum efficiency (

) and responsivity (

) at a wavelength

(in

) in a p-i-n photodetector are related by

Your answerChoose one option.

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Two identical copper wires W1 and W2, placed in parallel as shown in the figure, carry currents

and

, respectively, in opposite directions. If the two wires are separated by a distance of

, then the magnitude of the magnetic field

between the wires at a distance

from W1 is

Diagram for Electronics and Communication Engineering question 36

Your answerChoose one option.

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The dispersion equation of a waveguide, which relates the wavenumber

to the frequency

, is

where the speed of light

m/s, and

is a constant. If the group velocity is

m/s, then the phase velocity is

Your answerChoose one option.

m/s

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In the circuit shown, the breakdown voltage and the maximum current of the Zener diode are 20 V and 60 mA, respectively. The values of

and

are 200

and 1 k

, respectively. What is the range of

that will maintain the Zener diode in the ‘on’ state?

Diagram for Electronics and Communication Engineering question 38

Your answerChoose one option.

22 V to 34 V

24 V to 36 V

18 V to 24 V

20 V to 28 V

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The state transition diagram for the circuit shown is

Diagram for Electronics and Communication Engineering question 39

Your answerChoose one option.

Diagram for Electronics and Communication Engineering question 39 (figure 2)

Diagram for Electronics and Communication Engineering question 39 (figure 3)

Diagram for Electronics and Communication Engineering question 39 (figure 4)

Diagram for Electronics and Communication Engineering question 39 (figure 5)

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In the circuits shown, the threshold voltage of each nMOS transistor is 0.6 V. Ignoring the effect of channel length modulation and body bias, the values of Vout1 and Vout2, respectively, in volts, are

Diagram for Electronics and Communication Engineering question 40

Your answerChoose one option.

1.8 and 1.2

2.4 and 2.4

1.8 and 2.4

2.4 and 1.2

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GATE ECE year:2019 PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40