Questions 121–130 of 715. Imported answers require independent review unless marked reviewed.

Topic practice 715 questionsPage 13 of 72

Question 56

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ECMSQ2 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).
Diagram for Electronics and Communication Engineering question 56

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Question 57

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ECMSQ2 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

?
Diagram for Electronics and Communication Engineering question 57

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Question 58

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ECNAT2 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).

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Question 59

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ECNAT2 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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Question 60

Open question
ECNAT2 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).

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Question 61

Open question
ECNAT2 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 __________.
Diagram for Electronics and Communication Engineering question 61


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Question 62

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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 __________.
Diagram for Electronics and Communication Engineering question 62


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Question 63

Open question
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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.)

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Question 64

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ECNAT2 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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Question 65

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ECNAT2 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 ________.
Diagram for Electronics and Communication Engineering question 65


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