All Courses
Get the App Signup / Login
Sign in Open App
Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Tests  >  Test: Divergence - Electrical Engineering (EE) MCQ

Test: Divergence - Electrical Engineering (EE) MCQ


Test Description

10 Questions MCQ Test - Test: Divergence

Test: Divergence for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Test: Divergence questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Divergence MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Divergence below.
Solutions of Test: Divergence questions in English are available as part of our course for Electrical Engineering (EE) & Test: Divergence solutions in Hindi for Electrical Engineering (EE) course. Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free. Attempt Test: Divergence | 10 questions in 10 minutes | Mock test for Electrical Engineering (EE) preparation | Free important questions MCQ to study for Electrical Engineering (EE) Exam | Download free PDF with solutions
Test: Divergence - Question 1
Save

The divergence of a vector is a scalar. State True/False. 

Detailed Solution for Test: Divergence - Question 1

Answer: a
Explanation: Divergence can be computed only for a vector. Since it is the measure of outward flow of flux from a small closed surface as the volume shrinks to zero, the result will be directionless (scalar).

Test: Divergence - Question 2
Save

 The divergence concept can be illustrated using Pascal’s law. State True/False.

Detailed Solution for Test: Divergence - Question 2

Answer: a
Explanation: Consider the illustration of Pascal’s law, wherein a ball is pricked with holes all over its body. After water is filled in it and pressure is applied on it, the water flows out the holes uniformly. This is analogous to the flux flowing outside a closed surface as the volume reduces.

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Divergence - Question 3
Save

Compute the divergence of the vector xi + yj + zk.

Detailed Solution for Test: Divergence - Question 3

Answer: d
Explanation: The vector given is a position vector. The divergence of any position vector is always 3.

Test: Divergence - Question 4
Save

Find the divergence of the vector yi + zj + xk.
Detailed Solution for Test: Divergence - Question 4

Answer: b
Explanation: Div (yi + zj + xk) = Dx(y) + Dy(z) + Dz(x), which is zero. Here D refers to partial differentiation.

Test: Divergence - Question 5
Save

Given D = e-xsin y i – e-xcos y j
Find divergence of D.
Detailed Solution for Test: Divergence - Question 5

Answer: d
Explanation: Div (D) = Dx(e-xsin y) + Dy(-e-xcos y ) = -e-xsin y + e-xsin y = 0.

Test: Divergence - Question 6
Save

 Find the divergence of the vector F= xe-x i + y j – xz k 
Detailed Solution for Test: Divergence - Question 6

Answer: a
Explanation: Div(F) = Dx(xe-x) + Dy(y)+Dz(-xz) = -xe-x + e-x + 1 – x =
e-x(1 – x) + (1 – x) = (1 – x)(1 + e-x).

Test: Divergence - Question 7
Save

 Determine the divergence of F = 30 i + 2xy j + 5xz2 k at (1,1,-0.2) and state the nature of the field.
Detailed Solution for Test: Divergence - Question 7

Answer: b
Explanation: Div(F) = Dx(30) + Dy(2xy) + Dz(5xz2) = 0 + 2x + 10xz = 2x + 10xz
Divergence at (1,1,-0.2) will give zero. As the divergence is zero, field is solenoidal.
Alternate/Shortcut: Without calculation, we can easily choose option b, as by theory when the divergence is zero, the vector is solenoidal. Option b is the only one which is satisfying this condition.

Test: Divergence - Question 8
Save

Find whether the vector is solenoidal, E = yz i + xz j + xy k
Detailed Solution for Test: Divergence - Question 8

Answer: a
Explanation: Div(E) = Dx(yz) + Dy(xz) + Dz(xy) = 0. The divergence is zero, thus vector is divergentless or solenoidal.

Test: Divergence - Question 9
Save

Find the divergence of the field, P = x2yz i + xz k
Detailed Solution for Test: Divergence - Question 9

Answer: b
Explanation: Div(P) = Dx(x2yz) + Dy(0) + Dz(xz) = 2xyz + x, which is option b. For different values of x,y,z the divergence of the field varies.

Test: Divergence - Question 10
Save

Identify the nature of the field, if the divergence is zero and curl is also zero.
Detailed Solution for Test: Divergence - Question 10

Since the vector field does not diverge (moves in a straight path), the divergence is zero. Also, the path does not possess any curls, so the field is irrotational.

Information about Test: Divergence Page
In this test you can find the Exam questions for Test: Divergence solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Divergence, EduRev gives you an ample number of Online tests for practice

Top Courses for Electrical Engineering (EE)

Download as PDF

Top Courses for Electrical Engineering (EE)

Important Questions for Divergence

Find all the important questions for Divergence at EduRev.Get fully prepared for Divergence with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Divergence syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of Divergence resources.

Divergence MCQs with Answers

Prepare for the Divergence within the Electrical Engineering (EE) exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for Divergence

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace Divergence with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup