GATE IN year:2021 PYQs & Answers — Page 4

Questions 31–40 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 4 of 7

An amplitude modulation (AM) scheme uses tone modulation, with modulation index of 0.6. The power efficiency of the AM scheme is ____ % (rounded off to one decimal place).

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When the movable arm of a Michelson interferometer in vacuum (

) is moved by 325

m, the number of fringe crossings is 1000. The wavelength of the laser used in nanometers is _____.

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Consider the function

. The minimum value of the function in the interval [5, 10] is ___.

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Let

be defined in the complex plane. The integral

over the contour of a circle

with center at the origin and unit radius is ____.

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The determinant of the matrix M shown below is ____.

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is the series expansion of

Your answerChoose one option.

for

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A single-phase transformer has maximum efficiency of 98%. The core losses are 80 W and the equivalent winding resistance as seen from the primary side is 0.5

. The rated current on the primary side is 25 A. The percentage of the rated input current at which the maximum efficiency occurs is

Your answerChoose one option.

35.7%

50.6%

80.5%

100%

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A slip-ring induction motor is expected to be started by adding extra resistance in the rotor circuit. The benefit that is derived by adding extra resistance in the rotor circuit in comparison to the rotor being shorted is

Your answerChoose one option.

The starting torque would be higher.

The power factor at start will be lower.

The starting current is higher.

The losses at starting would be lower.

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Consider a unity feedback configuration with a plant and a PID controller as shown in the figure.

and

with K being scalar. The closed loop is

Diagram for Instrumentation Engineering question 29

Your answerChoose one option.

only stable for

between -1 and +1

only stable for

stable for all values of

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The output

of the ideal OpAmp used in the circuit shown below is 5 V. Then the value of resistor

in kilo ohm (k

) is

Diagram for Instrumentation Engineering question 30

Your answerChoose one option.

2.5

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GATE IN year:2021 PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30