GATE IN exam:gate PYQs & Answers — Page 15

Questions 141–150 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 15 of 65

Let

be a complex variable and

be its complex conjugate. The equation

represents a

Your answerChoose one option.

parabola

hyperbola

ellipse

circle

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The pressure drop across a control valve is constant. The control valve with inherent characteristic has decreasing sensitivity. If

represents the fraction of maximum stem position of the control valve, then the function

representing the fraction of maximum flow is

Your answerChoose one option.

, where

is constant

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A discrete-time sequence is given by

for

. The zero lag auto-correlation value of

Your answerChoose one option.

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Match the following measuring devices with their principle of measurement.

Measuring Device	Principle of Measurement
(P) Optical pyrometer	(I) Variation in mutual inductance
(Q) Thermocouple	(II) Change in resistance
(R) Strain gauge	(III) Wavelength of radiated energy
(S) Linear variable differential transformer	(IV) Electromotive force generated by two dissimilar metals

Your answerChoose one option.

(P) – (III), (Q) – (IV), (R) – (II), (S) – (I)

(P) – (IV), (Q) – (III), (R) – (II), (S) – (I)

(P) – (III), (Q) – (I), (R) – (IV), (S) – (II)

(P) – (II), (Q) – (IV), (R) – (I), (S) – (III)

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The capacitor shown in the figure has parallel plates, with each plate having an area

. The thickness of the dielectric materials are

and

and their relative permittivities are

and

, respectively. Assume that the fringing field effects are negligible and

is the permittivity of free space.

Diagram for Instrumentation Engineering question 15

is decreased by

, the resultant capacitance becomes

Your answerChoose one option.

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Among the given options, the simplified form of the Boolean function

Your answerChoose one option.

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Consider the state-space representation of a system

where

is the state vector,

is the input,

is the system matrix and

is the input matrix. Choose the matrix

from the following options such that the system has a pole at the origin.

Your answerChoose one option.

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The sinusoidal transfer function corresponding to the pole plot shown in the figure, for

, is

Diagram for Instrumentation Engineering question 18

Your answerChoose one option.

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A matrix

is constructed by stacking three column vectors

Choose the set of vectors from the following options such that

Your answerChoose one option.

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The capacitance formed between two concentric spherical metal shells having radii

and

with

Note:

is the permittivity of the medium between the shells.

Your answerChoose one option.

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GATE IN exam:gate PYQs

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