Test: Vector Analysis- 2 - Electrical Engineering (EE) MCQ

# Test: Vector Analysis- 2 - Electrical Engineering (EE) MCQ

Test Description

## 20 Questions MCQ Test Topicwise Question Bank for Electrical Engineering - Test: Vector Analysis- 2

Test: Vector Analysis- 2 for Electrical Engineering (EE) 2024 is part of Topicwise Question Bank for Electrical Engineering preparation. The Test: Vector Analysis- 2 questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Vector Analysis- 2 MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Vector Analysis- 2 below.
Solutions of Test: Vector Analysis- 2 questions in English are available as part of our Topicwise Question Bank for Electrical Engineering for Electrical Engineering (EE) & Test: Vector Analysis- 2 solutions in Hindi for Topicwise Question Bank for Electrical Engineering course. Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free. Attempt Test: Vector Analysis- 2 | 20 questions in 60 minutes | Mock test for Electrical Engineering (EE) preparation | Free important questions MCQ to study Topicwise Question Bank for Electrical Engineering for Electrical Engineering (EE) Exam | Download free PDF with solutions
 1 Crore+ students have signed up on EduRev. Have you?
Test: Vector Analysis- 2 - Question 1

### If then the value of at (2, 2, 0) will be

Detailed Solution for Test: Vector Analysis- 2 - Question 1

Given,

Test: Vector Analysis- 2 - Question 2

### If then the value of is

Detailed Solution for Test: Vector Analysis- 2 - Question 2

Thus,

Test: Vector Analysis- 2 - Question 3

### What is the value of constant b so that the vector is solenoidal?

Detailed Solution for Test: Vector Analysis- 2 - Question 3

Since vector is solenoidal, therefore
= 0

or, [1 + 1 + b] = 0 or b = -2

Test: Vector Analysis- 2 - Question 4

Match List-I with List-ll and select the correct answer using the codes given below the lists:
List-I
A. Gauss’s divergence theorem
B. Stroke’s theorem
C. The divergence
D. The curl
List-ll

Test: Vector Analysis- 2 - Question 5

Assertion (A): Vector differential operator is a vector quantity and it signifies that certain operations of a differentiation are to be carried out on the scalar function following it.
Reason (R): Vector differential operator posses properties similar to ordinary vectors

Detailed Solution for Test: Vector Analysis- 2 - Question 5

Vector differential operator (‘∇’) is not a vector quantity. Hence, assertion is a false statement.

Test: Vector Analysis- 2 - Question 6

Consider the following statements:
1. Divergence of a vector function at each point gives the rate per unit volume at which the physical entity is issuing from that point.
2. If a vector function ϕ represents temperature, then grad ϕ or ∇ϕ will represents rate of change of temperature with distance.
3. The curl of a vector function A gives the measure of the angular velocity at every point of the vector field.

Detailed Solution for Test: Vector Analysis- 2 - Question 6

All the given statements are correct.

Test: Vector Analysis- 2 - Question 7

Assertion (A): The Gauss’s divergence theorem permits us to express certain integrals by means of surface integrals.
Reason (R): Gauss’s divergence theorem states that “the surface integral of the curl of a vector field taken over any surface s is equal to the line integral of the vector field around the closed periphery (contour) of the surface.

Detailed Solution for Test: Vector Analysis- 2 - Question 7

Reason is a statement of stroke’s theorem not that of Gauss's divergence theorem.

Test: Vector Analysis- 2 - Question 8

If  is any vector field in cartesian co-ordinates system, then

Detailed Solution for Test: Vector Analysis- 2 - Question 8

Let,  be any vector field in cartesian co-ordinate system then, we can prove that

Also, Div. Curl

Test: Vector Analysis- 2 - Question 9

If and , then

Detailed Solution for Test: Vector Analysis- 2 - Question 9

Given,

∴
Also,

Test: Vector Analysis- 2 - Question 10

If S is any closed surface enclosing a volume V and then the value of (is a unit vector) will be equal to

Detailed Solution for Test: Vector Analysis- 2 - Question 10

Test: Vector Analysis- 2 - Question 11

Assertion (A): The laplacian operator of a scalar function ϕ can be defined as “Gradient of the divergence of the scalar ϕ”
Reason (R): Laplacian operator may be a “scalar laplacian" or a “vector laplacian'’ depending upon whether it is operated with a scalar function or a vector, respectively.

Detailed Solution for Test: Vector Analysis- 2 - Question 11

Assertion is not true because the laplacian operator (∇2)of a scalar function ϕ can be defined as “Divergence of the gradient of the scalar ϕ”. i.e. ∇.∇ϕ

Test: Vector Analysis- 2 - Question 12

Match List-I (Terms) with List-II (Type) and select the correct answer using the codes given below the lists:
List-I
A. Curl= 0
B. Div = 0
C. Div grad (ϕ) = 0
D. Div div (ϕ) = 0
List-ll
1. Laplace equation
2. Irrotational
3. Solenoidal
4. Not defined
Codes:
A B C D
(a) 2 3 1 4
(b) 4 1 3 2
(c) 2 1 3 4
(d) 4 3 1 2

Test: Vector Analysis- 2 - Question 13

Which of the following relations are not correct?​

Detailed Solution for Test: Vector Analysis- 2 - Question 13

(A x B)2 = A2B2 - (A·B)2

Test: Vector Analysis- 2 - Question 14

If uF = ∇v, where u and v are scalar fields and F is a vector field, then F. curl F is equal to

Detailed Solution for Test: Vector Analysis- 2 - Question 14

Given,

∴
or,

Hence,

Test: Vector Analysis- 2 - Question 15

A vector field which has a vanishing divergence is called as ____________

Detailed Solution for Test: Vector Analysis- 2 - Question 15

By the definition: A vector field whose divergence comes out to be zero or Vanishes is called as a Solenoidal Vector Field.

i.e.

is a Solenoidal Vector field.

Test: Vector Analysis- 2 - Question 16

Which of the following statements is not true of a phasor?​

Detailed Solution for Test: Vector Analysis- 2 - Question 16

A phasor is always a vector quantity.

Test: Vector Analysis- 2 - Question 17

Match List-I (Physical quantities) with List-ll (Dimensions) and select the correct answer using the codes given below the lists:
List-I
A. Electric potential
B. Magnetic flux
C. Magnetic field intensity
D. Magnetic flux density
List-ll
1. MT-2I-1
2. ML2T-3I-1
3. IL-1
4. ML2T-2I-1
Codes:
A B C D
(a) 2 4 3 1
(b) 4 2 3 1
(c) 1 2 1 3
(d) 4 2 1 3

Detailed Solution for Test: Vector Analysis- 2 - Question 17

• Emf induced, V = dφ/dt
or, ϕ  = v.t = Magnetic flux
∴ [ϕ] = [ML2T-3I-1[T]
= [ML2T-2I-1]
• Magnetic field intensity,
H = NI/I

Magnetic flux density B = ϕ/A
Test: Vector Analysis- 2 - Question 18

Which of the following statements is not true regarding vector algebra?

Detailed Solution for Test: Vector Analysis- 2 - Question 18

Option (c) is not correct because cross product of two unlike vectors is a third unit vector having positive sign for normal rotation and negative for reverse rotation while cross product of two like unit vectors is zero.

Test: Vector Analysis- 2 - Question 19

A  rigid body is rotating with an angular velocity of ω where,  and v is the line velocity. If is the position vector given by  then the value of curl  will be equal to

Detailed Solution for Test: Vector Analysis- 2 - Question 19

Taking the curl, we have:

(Since )
or,

∴

Test: Vector Analysis- 2 - Question 20

If  then which of the following relation will hold true?

Detailed Solution for Test: Vector Analysis- 2 - Question 20

We have:

= 1.1 + 1.1 + 1.1 = 1 + 1 + 1 = 3
Also,

Thus,

Hence, both (a) and (b) will hold true.

## Topicwise Question Bank for Electrical Engineering

212 tests
Information about Test: Vector Analysis- 2 Page
In this test you can find the Exam questions for Test: Vector Analysis- 2 solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Vector Analysis- 2, EduRev gives you an ample number of Online tests for practice

## Topicwise Question Bank for Electrical Engineering

212 tests

### Up next

Download the FREE EduRev App
Track your progress, build streaks, highlight & save important lessons and more!