Questions 61–70 of 715. Imported answers require independent review unless marked reviewed.

Topic practice 715 questionsPage 7 of 72

Question 61

Open question
EENAT2 marksNeeds review
Consider the circuit shown. Assume that the diode (D) is ideal.
Diagram for Electrical Engineering question 61

Given

V,

V, and

, the average value of the current through the diode is __________ A (Round off to two decimal places)

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Question 62

Open question
EENAT2 marksNeeds review
The magnitude of the contour integral

over the contour C: |z − 2 − i| = 3/2 is _____ (Round off to two decimal places)
Note: z is a complex variable and i = √−1

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Question 63

Open question
EENAT2 marksNeeds review
A uniform spherical volume charge distribution of radius 2 m, centered at the origin, has a strength of 3/π × 10⁻⁶ C/m³. A point charge of strength π × 8.854 × 10⁻¹² C is moved from (−3, 0, −4) to (0, 0, 4) in Cartesian coordinate system. The relative permittivity of the medium is 1 and the coordinate values are in meters.
The work done during the process is ________ μJ (Round off to two decimal places)

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Question 64

Open question
EENAT2 marksNeeds review
Let X and Y be two real-valued random variables with E(X) = 1, E(Y) = 2, E(X²) = 4, E(Y²) = 9, and E(XY) = 0.9, where E denotes the expectation operator.
The value of α that minimizes E((X − αY)²) is __________ (Round off to one decimal place)

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Question 65

Open question
EENAT2 marksNeeds review
The integral

evaluates to _________ (Round off to two decimal places)

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Question 1

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GAMCQ1 markNeeds review
Kavya ______ go to work yesterday as she ______ feeling well. Select the most appropriate option to complete the above sentence.
Your answerChoose one option.

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Question 2

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GAMCQ1 markNeeds review
Good : Evil :: Genuine : _____
Select the most appropriate option to complete the analogy.
Your answerChoose one option.

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Question 3

Open question
GAMCQ1 markNeeds review
The relationship between two variables

and

is given by

and is shown in the figure. Find the values of

and

.
Note: The figure shown is representative.
Diagram for Electrical Engineering question 3

Your answerChoose one option.

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Question 4

Open question
GAMCQ1 markNeeds review
Each row of Column-I has three items and each item is represented by a circle in Column-II. The arrangement of circles in Column-II represents the relationship among the items in Column-I.
Identify the option that has the most appropriate match between Column-I and Column-II.
Note: The figures shown are representative.
Column-I
Column-II
(1) Animals, Zebra, Giraffe
(P)
Diagram for Electrical Engineering question 4

(2) Director, Producer, Actor
(Q)
Diagram for Electrical Engineering question 4 (figure 2)

(3) Word, Sentence, Novel
(R)
Diagram for Electrical Engineering question 4 (figure 3)

(4) Pianist, Guitarist, Instrumentalist
(S)
Diagram for Electrical Engineering question 4 (figure 4)

Your answerChoose one option.

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Question 5

Open question
GAMCQ1 markNeeds review
What is the value of

?
Your answerChoose one option.

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