GATE IN branch:in PYQs & Answers — Page 41

Questions 401–410 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 41 of 65

The unit vectors along the mutually perpendicular

and

axes are

and

respectively. Consider the plane

and two vectors

and

on that plane such that

for any scalar

. A vector perpendicular to both

and

is ____.

Your answerChoose one option.

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Consider the recursive equation

, with initial condition

and

being a very small valued scalar. This recursion numerically solves the ordinary differential equation _____.

Your answerChoose one option.

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A set of linear equations is given in the form

, where

is a

matrix with real number entries and

. Will it be possible to solve for

and obtain a unique solution by multiplying both left and right sides of the equation by

(the super script

denotes the transpose) and inverting the matrix

? Answer is ____.

Your answerChoose one option.

Yes, it is always possible to get a unique solution for any

matrix $A.

No, it is not possible to get a unique solution for any

matrix $A.

Yes, can obtain a unique solution provided the matrix

is well conditioned

Yes, can obtain a unique solution provided the matrix

is well conditioned

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In the circuit shown below, the safe maximum value for the current

is ____.

Diagram for Instrumentation Engineering question 4

Your answerChoose one option.

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A differentiator has a transfer function whose phase increases linearly with frequency

Your answerChoose one option.

magnitude remains constant

magnitude increases linearly with frequency

magnitude decreases linearly with frequency

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A phase lead network has the transfer function

. The angular frequency at which the maximum phase shift for the network occurs is ____.

Your answerChoose one option.

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If the diodes in the circuit shown are ideal and the breakdown voltage

of the Zener diode is 5 V, the power dissipated in the 100

resistor (in watts) is ____.

Diagram for Instrumentation Engineering question 7

Your answerChoose one option.

25/100

225/100

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Given

is a Boolean function, where

represents min-terms and

represents don’t-cares. The minimal sum of products expression for

is ____.

Your answerChoose one option.

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A Q meter is best suited for the measurement of the ____.

Your answerChoose one option.

Quality factor of a capacitance.

Distributed capacitance of a coil.

Quality factor of piezoelectric sensor.

Turns-ratio of a transformer

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is the current flowing through a Hall effect sensor and

is the magnetic flux density perpendicular to the direction of the current (in the plane of the Hall effect sensor), the Hall voltage generated is ____.

Your answerChoose one option.

Directly proportional to

and inversely proportional to

Directly proportional to both

and

Inversely proportional to both

and

Inversely proportional to

and directly proportional to

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GATE IN branch:in PYQs

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