GATE ECE kind:question PYQs & Answers — Page 56

Questions 551–560 of 715. Imported answers require independent review unless marked reviewed.

A lossless transmission line has resistance per unit length

. The line is distortionless and has characteristic impedance of

. The attenuation constant (in Np/m, correct to three decimal places) of the line is ________.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider matrix

and vector

. The number of distinct real values of

for which the equation

has infinite many solutions is ______.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

and

be independent normal random variables with zero mean and unit variance. The probability that

is the smallest among the four is ______.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Taylor series expansion of

around

has the form

The coefficient

(correct to two decimal places) is equal to ______.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The ABCD matrix for a two-port network is defined by:

Diagram for Electronics and Communication Engineering question 25

The parameter

for the given two-port network (in ohms, correct to two decimal places) is ________.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The circuit shown in the figure is used to provide regulated voltage (5 V) across the 1 kΩ resistor. Assume that the Zener diode has a constant reverse breakdown voltage for a current range, starting from a minimum required Zener current,

mA to its maximum allowable current. The input voltage

may vary by 5% from its nominal value of 6 V. The resistance of the diode in the breakdown region is negligible.

Diagram for Electronics and Communication Engineering question 26

The value of R and the minimum required power dissipation rating of the diode, respectively, are

Your answerChoose one option.

186 Ω and 10 mW

100 Ω and 40 mW

100 Ω and 10 mW

186 Ω and 40 mW

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

and

. It is given that

. The signal

is applied to the input of a non-linear device, whose output

is related to the input

, where a and b are positive constants. The output of the non-linear device is passed through an ideal band-pass filter with center frequency

and bandwidth

, to produce an amplitude modulated (AM) wave. If it is desired to have the sideband power of the AM wave to be half of the carrier power, then a/b is

Your answerChoose one option.

0.25

0.5

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider a white Gaussian noise process

with two-sided power spectral density

W/Hz as input to a filter with impulse response

(where t is in seconds) resulting in output Y(t). The power in Y(t) in watts is

Your answerChoose one option.

0.1

0.22

0.33

0.44

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The state equation and the output equation of a control system are given below:

The transfer function representation of the system is

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Red (R), Green (G) and Blue (B) Light Emitting Diodes (LEDs) were fabricated using p-n junctions of three different inorganic semiconductors having different band-gaps. The built-in voltages of red, green and blue diodes are

and

, respectively. Assume donor and acceptor doping to be the same (

and

, respectively) in the p and n sides of all the three diodes. Which one of the following relationships about the built-in voltages is TRUE?

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE ECE kind:question PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30