GATE IN exam:gate PYQs & Answers — Page 10

Questions 91–100 of 650. Imported answers require independent review unless marked reviewed.

An oscilloscope has an input resistance of 1 M

. A 10X passive attenuating probe is connected to it to increase the input voltage range as well as the effective input resistance. The effective input resistance, in M

, seen into the probe tip is

Your answerChoose one option.

0.9

9.1

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For the transfer function

, the number of zeros lying in the left half of the s-plane is

Your answerChoose one option.

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Consider the control system block diagram given in Figure (a). The loop transfer function

does not have any pole on the

-axis. The counterclockwise contour with infinite radius, as shown in Figure (b), encircles two poles of

. Choose the correct statement from the following options for closed loop stability of the system.

Diagram for Instrumentation Engineering question 28

Your answerChoose one option.

The locus of

should encircle the origin twice in the counterclockwise direction

The locus of

should encircle the origin twice in the clockwise direction

The locus of

should encircle the

point twice in the counterclockwise direction

The locus of

should encircle the

point twice in the clockwise direction

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A Boolean function X is given as

. The reduced form of

Your answerChoose one option.

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A 60 V DC source with an internal resistance

is connected through a switch to a pair of infinitely long rails separated by

as shown in the figure. The rails are placed in a constant, uniform magnetic field of flux density

, directed into the page. A conducting bar placed on the rails is free to move. At the instant of closing the switch, the force induced on the bar is

Note: Assume there is no friction between the bar and the rails. The resistances of the conducting bar and the rails are zero.

Diagram for Instrumentation Engineering question 30

Your answerChoose one option.

60 N in the direction of

60 N opposite to the direction of

120 N in the direction of

120 N opposite to the direction of

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The circuits mentioned in the following options are realized using ideal opamp. Among these, the circuit(s) performing non-linear operation on the input signal is/are

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

Instrumentation amplifier

Schmitt trigger

Logarithmic amplifier

Precision rectifier

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If one of the eigenvectors of the matrix

is along the direction of

, where

is any non-zero real number, then the value of

is _____ (in integer).

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Consider the function

, where

is a complex variable. The sum of the residues at singular points of

is _____ (in integer).

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A dual-slope ADC has a fixed integration time of 100 ms. The reference voltage of the ADC is −5 V. The time taken by the ADC to measure an input voltage of 1.25 V is __________ ms (rounded to the nearest integer).

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In the circuit shown, assume that the BJT in the circuit has very high

and

V, and the Zener diode has

V. The current

through the LED is __________ mA (rounded off to two decimal places).

Diagram for Instrumentation Engineering question 35

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GATE IN exam:gate PYQs

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