GATE IN kind:question PYQs & Answers — Page 18

Questions 171–180 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 18 of 65

In the figure shown, both the opamps A₁ and A₂ are ideal, except that the opamp A₁ has an offset voltage (

) of 1 mV. For

V, the values of the output voltages

and

, respectively, are

Diagram for Instrumentation Engineering question 41

Your answerChoose one option.

3 mV and −1 mV

1 mV and 0 mV

1 mV and −1 mV

2 mV and 0 mV

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In the figure shown, the positive edge triggered D flip-flops are initially reset to Q = 0. The logic gates and the multiplexers have no propagation delay. After reset, a train of clock pulses (CLK) are applied. The logic states of the inputs DIN, S and the clock pulses are also shown in the figure. Assuming no timing violations, the sequence of output Y from the 3rd clock to the 5th clock,

Diagram for Instrumentation Engineering question 42

Your answerChoose one option.

001

010

000

011

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In the figure shown, R = 1 kΩ and C = 0.1 μF. For a dc gain of −10, the 3 dB cut-off frequency (rounded off to one decimal place) is

Diagram for Instrumentation Engineering question 43

Assume the opamp is ideal.

Your answerChoose one option.

159.1 Hz

1591.5 Hz

1750.7 Hz

175.0 Hz

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Consider the feedback control system shown in the figure. The steady-state error

due to unit step reference

Diagram for Instrumentation Engineering question 44

Your answerChoose one option.

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The transfer function of a system is

Choose the range of

and

(in rad/s) from the following options such that the poles lie on the shaded region of the

-plane as shown in the figure.

Diagram for Instrumentation Engineering question 45

Your answerChoose one option.

and

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Let

be the closed curve in the

-plane, traversed in the counterclockwise direction along the boundary of the rectangle with vertices at

. The value of the line integral

Your answerChoose one option.

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In the figure shown, assume

is the phase angle between the load current and the load voltage

is the phase angle by which pressure coil current lags the pressure coil voltage of the wattmeter

is the phase angle between currents in the pressure coil and the current coil of the wattmeter

is the phase angle of the voltage transformer

is the phase angle of the current transformer

When the load has a lagging phase angle of

, which one of the following options is correct?

Diagram for Instrumentation Engineering question 47

Your answerChoose one option.

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Consider an ultrasonic measurement system shown in the figure. The ultrasonic transmitter (T) sends a continuous wave signal

volts towards an object whose vibration is modeled as

volts. Neglecting the phase shift due to any other effect, the received signal at the receiver (R) is

volts.

Assuming the frequency sensitivity factor as 500 Hz/volt,

kHz,

kHz, the modulation index (

) and the frequency deviation in

, respectively, are

Diagram for Instrumentation Engineering question 48

Your answerChoose one option.

0.25 and

250 Hz

0.5 and

500 Hz

1 and

1000 Hz

0.75 and

1000 Hz

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The complex functions

and

are both analytic in a given domain. Choose the correct option(s) from the following.

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

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The readings recorded from a 20-psig pressure gauge are given in the Table. The regression line obtained for the data is

. The regression coefficient of determination,

______ (rounded off to three decimal places).

	1	2	3	4	5
(psig)	10.3	10.5	10.4	10.5	10.5

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