GATE ECE format:mcq PYQs & Answers — Page 39

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Questions 381–390 of 426. Imported answers require independent review unless marked reviewed.

Topic practice 426 questionsPage 39 of 43

Consider a wireless communication link between a transmitter and a receiver located in free space, with finite and strictly positive capacity. If the effective areas of the transmitter and the receiver antennas, and the distance between them are all doubled, and everything else remains unchanged, the maximum capacity of the wireless link

Your answerChoose one option.

increases by a factor of 2

decreases by a factor of 2

remains unchanged

decreases by a factor of

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Let

for real

. From among the following, choose the Taylor series approximation of

around

, which includes all powers of

less than or equal to 3.

Your answerChoose one option.

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The values of the integrals

and

are

Your answerChoose one option.

same and equal to 0.5

same and equal to −0.5

0.5 and −0.5, respectively

−0.5 and 0.5, respectively

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An integral

over a counterclockwise circle

is given by

is defined as

, then the value of

Your answerChoose one option.

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If the vector function

is irrotational, then the values of the constants

and

, respectively, are

Your answerChoose one option.

0.3, −2.5, 0.5

0.0, 3.0, 2.0

0.3, 0.33, 0.5

4.0, 3.0, 2.0

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Which one of the following is the general solution of the first order differential equation

, where

are real?

Your answerChoose one option.

, where

is a constant.

, where

is a constant.

, where

is a constant.

, where

is a constant.

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Let

be a continuous time periodic signal with fundamental period

seconds. Let

be the complex Fourier series coefficients of

, where

is integer valued. Consider the following statements about

I. The complex Fourier series coefficients of

are

where

is integer valued II. The complex Fourier series coefficients of

are

where

is integer valued III. The fundamental angular frequency of

rad/s

For the three statements above, which one of the following is correct?

Your answerChoose one option.

only II and III are true

only I and III are true

only III is true

only I is true

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Two

-channel MOSFETs, T1 and T2, are identical in all respects except that the width of T2 is double that of T1. Both the transistors are biased in the saturation region of operation, but the gate overdrive voltage (

) of T2 is double that of T1, where

and

are the gate-to-source voltage and threshold voltage of the transistors, respectively. If the drain current and transconductance of T1 are

and

, respectively, the corresponding values of these two parameters for T2 are

Your answerChoose one option.

and

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An abrupt

junction (located at

) is uniformly doped on both

and

sides. The width of the depletion region is

and the electric field variation in the

-direction is

. Which of the following figures represents the electric field profile near the

junction?

Your answerChoose one option.

Diagram for Electronics and Communication Engineering question 39

Diagram for Electronics and Communication Engineering question 39 (figure 2)

Diagram for Electronics and Communication Engineering question 39 (figure 3)

Diagram for Electronics and Communication Engineering question 39 (figure 4)

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Assuming that transistors M1 and M2 are identical and have a threshold voltage of 1 V, the state of transistors M1 and M2 are respectively

Diagram for Electronics and Communication Engineering question 40

Your answerChoose one option.

Saturation, Saturation

Linear, Linear

Linear, Saturation

Saturation, Linear

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GATE ECE format:mcq PYQs

Question 25

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Question 38

Question 39

Question 40