GATE IN year:2025 PYQs & Answers — Page 5

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

A chopper amplifier shown in the figure is designed to process a biomedical signal

to generate conditioned output

. The signals

and

are band limited to 50 Hz and 10 Hz, respectively. For the system to operate as a linear amplifier, choose the correct statement from the following options.

Diagram for Instrumentation Engineering question 41

Your answerChoose one option.

The minimum frequency of

required is 100 Hz and

gets attenuated by the system

The minimum frequency of

required is 100 Hz and

also gets amplified by the system by a factor

The minimum frequency of

required is 80 Hz and

gets attenuated by the system

The minimum frequency of

required is 80 Hz and

also gets amplified by the system by a factor

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An 8-bit microprocessor has 16-bit address bus (

) where

is the LSB. As shown in Figure (a), it has a pre-installed 4 KB ROM whose starting address is 0000. The processor needs to be upgraded by adding a 16 KB RAM as shown in Figure (b). The address range for the newly added RAM is

Diagram for Instrumentation Engineering question 42

Your answerChoose one option.

1000 H – 4FFF H

3000 H – 6FFF H

4000 H – 7FFF H

8000 H – BFFF H

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A 3-bit DAC is implemented using ideal opamp and switches as shown in the figure. Each of the switches gets closed when its corresponding digital input is at logic 1. For a digital input of 110, the resistance

seen from the reference source and the current

, are

Diagram for Instrumentation Engineering question 43

Your answerChoose one option.

and

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Power consumed by a three-phase balanced load is measured using two-wattmeter method. The per-phase average power drawn by the load is 30 kW at

lagging power factor. The readings of the wattmeters will be

Your answerChoose one option.

15 kW and 15 kW

22.5 kW and 7.5 kW

60 kW and 30 kW

45 kW and 45 kW

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The bridge circuit, shown in Figure (a), can be equivalently represented using the circuit shown in Figure (b). The values of R₁, R₂, and V_C in the equivalent circuit are

Diagram for Instrumentation Engineering question 45

Your answerChoose one option.

R₁ = 6 kΩ, R₂ = 3 kΩ, and V_C = 9 V

R₁ = 3 kΩ, R₂ = 6 kΩ, and V_C = 4.5 V

R₁ = 2 kΩ, R₂ = 2 kΩ, and V_C = 9 V

R₁ = 2 kΩ, R₂ = 2 kΩ, and V_C = 4.5 V

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A 2-pole, 50 Hz, 3-phase induction motor supplies power to a certain load at 2970 rpm. The torque-speed curve of this machine follows a linear relationship between synchronous speed and 95 % of synchronous speed. Assume mechanical and stray losses to be zero. If the load torque of the motor is doubled, the new operating speed of the motor, in rpm, is

Your answerChoose one option.

2940

2812

2970

2850

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The figure shows a closed-loop system with a plant

and a lead compensator

. The compensator is designed to place the dominant closed-loop poles at

. From the following options, choose the phase lead that the compensator needs to contribute.

Diagram for Instrumentation Engineering question 47

Your answerChoose one option.

30°

60°

90°

120°

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Let

and

represent continuous-time real-valued signals. If

denotes cross-correlation between

and

, its continuous-time Fourier transform

equals

Note:

and

denote the continuous-time Fourier transforms of

and

, respectively.

Your answerChoose one option.

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Choose the correct statement(s) from the following options, regarding Cauchy’s theorem on complex integration

where C is a simple closed path in a simply connected domain D.

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

Cauchy’s theorem cannot be directly applied to conclude that

when

, and C is the unit circle

is analytic in D, then it can be concluded that

for any simple closed path C in D

The function

must be analytic in D to conclude

for any simple closed path C in D

when

, since the function is not analytic at

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The plant in the feedback control system shown in the figure is

, where

and

. The type(s) of controller

that CANNOT stabilize the plant is/are

Diagram for Instrumentation Engineering question 50

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

proportional (P) controller

integral (I) controller

proportional-integral (PI) controller

proportional-derivative (PD) controller

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GATE IN year:2025 PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50