GATE ECE year:2024 PYQs & Answers — Page 3

Questions 21–30 of 65. Imported answers require independent review unless marked reviewed.

A causal and stable LTI system with impulse response

produces an output

for an input signal

. A signal

is applied to another causal and stable LTI system with impulse response

. The resulting output is ______.

Your answerChoose one option.

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For non-degenerate doped n-type silicon, which one of the following plots represents the temperature (

) dependence of free electron concentration (

Your answerChoose one option.

Diagram for Electronics and Communication Engineering question 22

Diagram for Electronics and Communication Engineering question 22 (figure 2)

Diagram for Electronics and Communication Engineering question 22 (figure 3)

Diagram for Electronics and Communication Engineering question 22 (figure 4)

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In the circuit shown, the

step-down transformer and the diodes are ideal. The diodes have no voltage drop in forward biased condition. If the input voltage (in Volts) is

and the average value of load voltage

(in Volts) is

, the value of

is ______.

Diagram for Electronics and Communication Engineering question 23

Your answerChoose one option.

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For a causal discrete-time LTI system with transfer function

which of the following statements is/are true?

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

The system is stable.

The system is a minimum phase system.

The initial value of the impulse response is 2.

The final value of the impulse response is 0.

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Let

and

represent density and velocity, respectively, at a point

and time

. Assume

is continuous. Let V be an arbitrary volume in space enclosed by the closed surface S and

be the outward unit normal of S. Which of the following equations is/are equivalent to

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

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The free electron concentration profile

in a doped semiconductor at equilibrium is shown in the figure, where the points A, B, and C mark three different positions. Which of the following statements is/are true?

Diagram for Electronics and Communication Engineering question 26

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

For

between B and C, the electron diffusion current is directed from C to B.

For

between B and A, the electron drift current is directed from B to A.

For

between B and C, the electric field is directed from B to C.

For

between B and A, the electric field is directed from A to B.

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A machine has a 32-bit architecture with 1-word long instructions. It has 24 registers and supports an instruction set of size 40. Each instruction has five distinct fields, namely opcode, two source register identifiers, one destination register identifier, and an immediate value. Assuming that the immediate operand is an unsigned integer, its maximum value is ________.

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An amplitude modulator has output (in Volts)

The carrier power normalized to 1

resistance is 50 Watts. The ratio of the total sideband power to the total power is 1/9. The value of

(in Volts, rounded off to two decimal places) is ______ .

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In a number system of base

, the equation

has

as one of its solutions. The value of

is ______.

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Let

and

denote the set of real numbers and the three dimensional vector space over it, respectively. The value of

for which the set of vectors

does not form a basis of

is ______.

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GATE ECE year:2024 PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30