GATE ECE format:mcq PYQs & Answers — Page 14

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Questions 131–140 of 426. Imported answers require independent review unless marked reviewed.

Topic practice 426 questionsPage 14 of 43

Let

and

be two vectors. The value of the coefficient

in the expression

, which minimizes the length of the error vector

, is

Your answerChoose one option.

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The rate of increase, of a scalar field

, in the direction

at a point

Your answerChoose one option.

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Let

. Which of the following cannot be a value of

Your answerChoose one option.

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The value of the contour integral

, where the contour

, taken in the counter clockwise direction, is

Your answerChoose one option.

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Let the sets of eigenvalues and eigenvectors of a matrix

and

, respectively. For any invertible matrix

, the sets of eigenvalues and eigenvectors of the matrix

, where

, respectively, are

Your answerChoose one option.

and

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In a semiconductor, if the Fermi energy level lies in the conduction band, then the semiconductor is known as

Your answerChoose one option.

degenerate n-type.

degenerate p-type.

non-degenerate n-type.

non-degenerate p-type.

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For an intrinsic semiconductor at temperature

, which of the following statement is true?

Your answerChoose one option.

All energy states in the valence band are filled with electrons and all energy states in the conduction band are empty of electrons.

All energy states in the valence band are empty of electrons and all energy states in the conduction band are filled with electrons.

All energy states in the valence and conduction band are filled with holes.

All energy states in the valence and conduction band are filled with electrons.

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A series

circuit has a quality factor

of 1000 at a center frequency of

. The possible values of

and

are

Your answerChoose one option.

and

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For a MOS capacitor,

and

are the flat-band voltage and the threshold voltage, respectively. The variation of the depletion width (

) for varying gate voltage (

) is best represented by

Your answerChoose one option.

Diagram for Electronics and Communication Engineering question 19

Diagram for Electronics and Communication Engineering question 19 (figure 2)

Diagram for Electronics and Communication Engineering question 19 (figure 3)

Diagram for Electronics and Communication Engineering question 19 (figure 4)

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Consider a narrow band signal, propagating in a lossless dielectric medium (

), with phase velocity

and group velocity

. Which of the following statement is true? (

is the velocity of light in vacuum.)

Your answerChoose one option.

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GATE ECE format:mcq PYQs

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20