Electronics and Communication Engineering
GATE ECE kind:question PYQs
Build your understanding with focused practice from past exam papers.
Questions 121–130 of 715. Imported answers require independent review unless marked reviewed.
Question 56
Open questionECMSQ2 marksNeeds review
Consider a system represented by the block diagram shown below. Which of the following signal flow graphs represent(s) this system? Choose the correct option(s).

Your answerSelect all correct options. You can choose more than one.
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Open questionECMSQ2 marksNeeds review
All the diodes in the circuit given below are ideal. Which of the following plots is/are correct when
(in Volts) is swept from
to
? 
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Open questionECNAT2 marksNeeds review
Two fair dice (with faces labeled 1, 2, 3, 4, 5, and 6) are rolled. Let the random variable
denote the sum of the outcomes obtained.The expectation of
is ______ (rounded off to two decimal places).Log in to check the answer
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Open questionECNAT2 marksNeeds review
Consider the vectors
For real-valued scalar variable
, the value of
is __________ (rounded off to two decimal places).
denotes the Euclidean norm, i.e., for
,
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Open questionECNAT2 marksNeeds review
and
are Bernoulli random variables taking values in
. The joint probability mass function of the random variables is given by:
The mutual information
is __________ (rounded off to two decimal places).Log in to check the answer
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Open questionECNAT2 marksNeeds review
The diode in the circuit shown below is ideal. The input voltage (in Volts) is given by
, where time
is in seconds.The time duration (in ms, rounded off to two decimal places) for which the diode is forward biased during one period of the input is __________.

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Open questionECNAT2 marksNeeds review
In the circuit shown below, the AND gate has a propagation delay of 1 ns. The edge-triggered flip-flops have a set-up time of 2 ns, a hold-time of 0 ns, and a clock-to-Q delay of 2 ns.
The maximum clock frequency (in MHz, rounded off to the nearest integer) such that there are no setup violations is __________.

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Open questionECNAT2 marksNeeds review
An ideal p-n junction germanium diode has a reverse saturation current of 10
A at 300 K.The voltage (in Volts, rounded off to two decimal places) to be applied across the junction to get a forward bias current of 100 mA at 300 K is ____.
(Consider the Boltzman constant
J/K and the charge of an electron
C.)Log in to check the answer
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Open questionECNAT2 marksNeeds review
A 50
lossless transmission line is terminated with a load
of
.If the average incident power on the line is 10 mW, then the average power delivered to the load (in mW, rounded off to one decimal place) is __________.
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Open questionECNAT2 marksNeeds review
Two resistors are connected in a circuit loop of area 5 m
, as shown in the figure below. The circuit loop is placed on the x-y plane.When a time-varying magnetic flux, with flux-density
(in Tesla), is applied along the positive z-axis, the magnitude of current
(in Amperes, rounded off to two decimal places) in the loop is ________.
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