GATE IN year:2021 PYQs & Answers — Page 2

Questions 11–20 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 2 of 7

Consider the row vectors

and

. The rank of the matrix

, where the superscript

denotes the transpose, is

Your answerChoose one option.

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Consider the sequence

with

. Then

Your answerChoose one option.

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An infinitely long line, with uniform positive charge density, lies along the z-axis. In cylindrical coordinates

, at any point

not on the z-axis, the direction of the electric field is

Your answerChoose one option.

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The input-output relationship of an LTI system is given below.

Diagram for Instrumentation Engineering question 4

For an input

shown below

Diagram for Instrumentation Engineering question 4 (figure 2)

, the peak value of the output when

passes through

is _____.

Your answerChoose one option.

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In an ac main, the rms voltage

, rms current

and power

are measured as:

and

(errors are with respect to readings). The percentage error in calculating the power factor using these readings is

Your answerChoose one option.

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Let

denote the unit step function. The bilateral Laplace transform of the function

is _____.

Your answerChoose one option.

with real part of

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Input-output characteristic of a temperature sensor is exponential for a

Your answerChoose one option.

Thermistor

Thermocouple

Resistive Temperature Device (RTD)

Mercury thermometer

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The signal

Your answerChoose one option.

periodic with period

not periodic

periodic with period

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The step response of a circuit is seen to have an oscillatory behaviour at the output with oscillations dying down after some time. The correct inference(s) regarding the transfer function from input to output is/are

Your answerSelect all correct options. You can choose more than one.

that it is of at least second order.

that it has at least one pole-pair that is underdamped.

that it does not have a real pole.

that it is a first order system.

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For a 4-bit Flash type Analog to Digital Convertor (ADC) with full scale input voltage range “V”, which of the following statement(s) is/are true?

Your answerSelect all correct options. You can choose more than one.

The ADC requires 15 comparators.

The ADC requires one 4 to 2 priority encoder and 4 comparators.

A change in the input voltage by

will always flip MSB of the output.

A change in the input voltage by

will always flip the LSB of the output.

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GATE IN year:2021 PYQs

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10