GATE ECE kind:question PYQs & Answers — Page 15

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Questions 141–150 of 715. Imported answers require independent review unless marked reviewed.

Topic practice 715 questionsPage 15 of 72

The general form of the complementary function of a differential equation is given by

, where A and B are real constants determined by the initial condition. The corresponding differential equation is _____.

Your answerChoose one option.

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In the context of Bode magnitude plots, 40 dB/decade is the same as ______.

Your answerChoose one option.

12 dB/octave

6 dB/octave

20 dB/octave

10 dB/octave

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In the feedback control system shown in the figure below,

Diagram for Electronics and Communication Engineering question 13

, and

are the Laplace transforms of

, and

, respectively. If the input

is a unit step function, then ________.

Your answerChoose one option.

does not exist,

is oscillatory

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A digital communication system transmits through a noiseless bandlimited channel [

]. The received signal

at the output of the receiving filter is given by

where

are the symbols and

is the overall system response to a single symbol. The received signal is sampled at

. The Fourier transform of

. The Nyquist condition that

must satisfy for zero intersymbol interference at the receiver is ______.

Your answerChoose one option.

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Consider a lossless transmission line terminated with a short circuit as shown in the figure below. As one moves towards the generator from the load, the normalized impedances

, and

(indicated in the figure) are ______.

Diagram for Electronics and Communication Engineering question 15

Your answerChoose one option.

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Let

and

be the unit vectors along

and

axes, respectively and let

be a positive constant. Which one of the following statements is true for the vector fields

and

Your answerChoose one option.

Both

and

are electrostatic fields.

Only

is an electrostatic field.

Only

is an electrostatic field.

Neither

nor

is an electrostatic field.

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In the circuit below, assume that the long channel NMOS transistor is biased in saturation. The small signal trans-conductance for the transistor is

. Neglect body effect, channel length modulation and intrinsic device capacitances. The small signal input impedance

is ______.

Diagram for Electronics and Communication Engineering question 17

Your answerChoose one option.

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For the closed loop amplifier circuit shown below, the magnitude of open loop low frequency small signal voltage gain is 40.

Diagram for Electronics and Communication Engineering question 18

All the transistors are biased in saturation. The current source

is ideal. Neglect body effect, channel length modulation and intrinsic device capacitances. The closed loop low frequency small signal voltage gain

(rounded off to three decimal places) is ____.

Your answerChoose one option.

0.976

1.000

1.025

0.488

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For the Boolean function

the essential prime implicants are __________.

Your answerChoose one option.

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A white Gaussian noise

with zero mean and power spectral density

, when applied to a first-order RC low pass filter produces an output

. At a particular time

, the variance of the random variable

is ______.

Your answerChoose one option.

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GATE ECE kind:question PYQs

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