GATE IN purpose:exam-prep PYQs & Answers — Page 11

Questions 101–110 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 11 of 65

The value of the surface integral

over the sphere

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Newton-Raphson method is used to compute the inverse of the number 1.6. Among the following options, the initial guess of the solution that results in non-convergence of the iterative process is

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0.55

0.75

1.15

1.25

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The value of the integral

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Let

, where

and real, represent a difference equation of a causal discrete-time linear time invariant system. The system is initially at rest. If

where

, the value of

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The clock frequency of the digital circuit shown in the figure is 12 MHz. The frequencies of the output (F) corresponding to Control = 0 and Control = 1, respectively, are

Diagram for Instrumentation Engineering question 40

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4 MHz and 6 MHz

6 MHz and 4 MHz

3 MHz and 4 MHz

3 MHz and 6 MHz

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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

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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

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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

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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

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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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