GATE IN format:mcq PYQs & Answers — Page 12

Questions 111–120 of 360. Imported answers require independent review unless marked reviewed.

Topic practice 360 questionsPage 12 of 36

Consider a discrete-time sequence

The region of convergence of

, the z-transform of

, consists of

Your answerChoose one option.

all values of

except

all values of

except

all values of

except

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In the bridge circuit shown in the figure, under balanced condition, the values of R and C respectively, are

Diagram for Instrumentation Engineering question 39

Your answerChoose one option.

1.010 Ω and 19.802 μF

9.901 Ω and 0.505 μF

19.802 Ω and 1.01 μF

39.604 Ω and 2.02 μF

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Laplace transform of a signal

. Let

be the unit step function. Choose the signal

from the following options if the region of convergence is

Your answerChoose one option.

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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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