GATE ECE format:mcq PYQs & Answers — Page 3

Questions 21–30 of 426. Imported answers require independent review unless marked reviewed.

Consider the Friis’ transmission equation

, where

and

are the received and the transmitted powers, respectively.

and

are the gain of transmitting and receiving antennas, respectively,

is the distance between the transmitting and receiving antennas, and

is the wavelength in free space.

Given:

and

Choose the distance (D), in km, from the following options at which the received power,

Your answerChoose one option.

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Consider a discrete memoryless source with an alphabet of four source symbols.

is a multi-level (-1, 0, +1, +2) signal representing a long sequence of random symbols from the above source which is generating

symbols per second.

Which of the following options is the correct value of equivalent Nyquist bandwidth of

Your answerChoose one option.

10 kHz

64 kHz

5 kHz

20 kHz

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The relation between the input current (I) and the output voltage (V) of a circuit is governed by the equation:

. The circuit is excited by

, where q is a real valued constant. At

Which of the following is an equivalent representation of the above case?

Your answerChoose one option.

, with

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The electric field of a monochromatic plane wave traveling in a lossless isotropic and homogenous medium is given by

in a right-handed orthogonal co-ordinate system.

Which of the following is the correct polarization of the electromagnetic wave?

Your answerChoose one option.

Right-handed circularly polarized

Left-handed circularly polarized

Linearly polarized

Linearly polarized with −45° angle to

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Consider the two series,

and

, where

Which of the following statements is correct for the two given series?

Your answerChoose one option.

Both

and

converge.

Neither

nor

converges.

converges but

does not converge.

converges but

does not converge.

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The continuous time signal

is real, periodic with period

and satisfies the Dirichlet conditions.

The Fourier series representation of

and

satisfies the following:

For any integer

, which of the following options is correct?

Your answerChoose one option.

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Let X, N, Y and Z be random variables. The variables X and N are independent of each other. X is uniformly distributed between -1 and 1; N follows Normal distribution with zero mean and unity variance. Y and Z are defined as,

and

. Which of the following pairs represents the values of correlation between X and Y and that between X and Z?

Your answerChoose one option.

1/3 and 0

1/3 and 1/9

1/3 and 1/3

1 and 0

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In the given circuit,

and

. The phasor diagram for

and

is also shown. Assume that the phase

at a frequency of 159.15 kHz. Among the following options, what is the nearest integer value of

Diagram for Electronics and Communication Engineering question 39

Your answerChoose one option.

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For the control system shown in the Figure, the transfer function of a plant,

is connected in cascade with a compensator

, where

and

are positive real valued constants. Which of the following pairs

represent the correct values for the closed loop system to have poles at

Diagram for Electronics and Communication Engineering question 40

Your answerChoose one option.

2, 3

3, 4

2, 4

3, 3

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The state and output equations for a control system are:

Which of the following expressions correctly represents the transfer function

of the system with zero initial conditions?

Your answerChoose one option.

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GATE ECE format:mcq PYQs

Question 21

Question 22

Question 23

Question 24

Question 36

Question 37

Question 38

Question 39

Question 40

Question 41