GATE ECE purpose:exam-prep PYQs & Answers — Page 10

Questions 91–100 of 715. Imported answers require independent review unless marked reviewed.

Consider the unity-negative-feedback system shown in Figure (i) below, where gain

. The root locus of this system is shown in Figure (ii) below.

Diagram for Electronics and Communication Engineering question 26

Diagram for Electronics and Communication Engineering question 26 (figure 2)

For what value(s) of

will the system in Figure (i) have a pole at

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

For no positive value of

For all positive values of

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Let

be a discrete-time signal whose z-transform is

. Which of the following statements is/are TRUE?

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

The discrete-time Fourier transform (DTFT) of

always exists

The region of convergence (RoC) of

contains neither poles nor zeros

The discrete-time Fourier transform (DTFT) exists if the region of convergence (RoC) contains the unit circle

, where

is the unit impulse and

is a scalar, then the region of convergence (RoC) is the entire z-plane

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Consider a message signal

which is bandlimited to

, where

is in Hz. Consider the following two modulation schemes for the message signal:

• Double sideband-suppressed carrier (DSB-SC):

• Amplitude modulation (AM):

Here,

and

are the amplitude and frequency (in Hz) of the carrier, respectively. In the case of AM,

denotes the modulation index.

Consider the following statements: (i) An envelope detector can be used for demodulation in the DSB-SC scheme if

for all

. (ii) An envelope detector can be used for demodulation in the AM scheme only if

for all

Which of the following options is/are correct?

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

(i) is TRUE

(i) is FALSE

(ii) is TRUE

(ii) is FALSE

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Which of the following statements is/are TRUE with respect to an ideal opamp?

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

It has an infinite input resistance

It has an infinite output resistance

It has an infinite open-loop differential gain

It has an infinite open-loop common-mode gain

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Which of the following statements is/are TRUE with respect to ideal MOSFET-based DC-coupled single-stage amplifiers having finite load resistors?

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

The common-gate amplifier has an infinite input resistance

The common-source amplifier has an infinite input resistance

The input and output voltages of the common-source amplifier are in phase

The input and output voltages of the common-drain amplifier are in phase

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Which of the following can be used as an n-type dopant for silicon? Select the correct option(s).

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

Arsenic

Boron

Gallium

Phosphorus

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The function

satisfies

where

and

denote the first and second derivatives of

, respectively.

Given

and

, the maximum value of

over

is _____ (rounded off to two decimal places).

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The generator matrix of a

binary linear block code is given below.

The minimum Hamming distance

between codewords equals _____ (answer in integer).

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All the components in the bandpass filter given below are ideal. The lower

frequency of the filter is 1 MHz.

The upper

frequency (in MHz, rounded off to the nearest integer) is ________.

Diagram for Electronics and Communication Engineering question 34

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A 4-bit weighted-resistor DAC with inputs

, and

(MSB to LSB) is designed using an ideal op amp, as shown below. The switches are closed when the corresponding input bits are logic ‘1’ and open otherwise.

When the input

changes from 1110 to 1101, the magnitude of the change in the output voltage

(in mV, rounded off to the nearest integer) is ________.

Diagram for Electronics and Communication Engineering question 35

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GATE ECE purpose:exam-prep PYQs

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35