Electronics and Communication Engineering
GATE ECE exam:gate PYQs
Build your understanding with focused practice from past exam papers.
Questions 421–430 of 715. Imported answers require independent review unless marked reviewed.
Question 21
Open questionECNAT1 markNeeds review
A transmission line of length
and having a characteristic impedance of 50
is terminated with a load of 400
. The impedance (rounded off to two decimal places) seen at the input end of the transmission line is ______
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Open questionECNAT1 markNeeds review
A binary random variable
takes the value +2 or −2. The probability
. The value of
(rounded off to one decimal place), for which the entropy of
is maximum, is ______.Log in to check the answer
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Open questionECNAT1 markNeeds review
The loop transfer function of a negative feedback system is
The value of K, for which the system is marginally stable, is ______.Log in to check the answer
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Open questionECNAT1 markNeeds review
The random variable
and
is a real white Gaussian noise process with two-sided power spectral density
W/Hz, for all
. The variance of Y is ______.Log in to check the answer
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Open questionECNAT1 markNeeds review
The two sides of a fair coin are labelled as 0 and 1. The coin is tossed two times independently. Let
and
denote the labels corresponding to the outcomes of those tosses. For a random variable
, defined as
, the expected value
(rounded off to two decimal places) is ______.Log in to check the answer
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Open questionECMCQ2 marksNeeds review
Consider the following system of linear equations.
Which one of the following conditions ensures that a solution exists for the above system?Your answerChoose one option.
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Open questionECMCQ2 marksNeeds review
Which one of the following options contains two solutions of the differential equation
?Your answerChoose one option.
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Open questionECMCQ2 marksNeeds review
The current I in the given network is
Your answerChoose one option.
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Open questionECMCQ2 marksNeeds review
A finite duration discrete-time signal
is obtained by sampling the continuous-time signal
at sampling instants
,
. The 8-point discrete Fourier transform (DFT) of
is defined as
Which one of the following statements is TRUE?Your answerChoose one option.
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Open questionECMCQ2 marksNeeds review
For the given circuit, which one of the following is the correct state equation?
Your answerChoose one option.
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