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Magnetic 4th

Total questions: 86

Worksheet time: 2hrs 49mins

Name
Class
Date
1.
  1. What are the different types of Co-ordinate systems.
a)

1

b)

2

c)

3

d)

4

2.

If you want to find vector which is perpendicular from other two vector at that time which operation is required to perform on the two vector?

a)

Dot Product

b)

Cross Product

c)

Unit Vector

d)

None of above

3.

If you want to find vector which is perpendicular from other two vector at that time which operation is required to perform on the two vector?

a)

Dot Product

b)

Cross Product

c)

Unit Vector

d)

None of above

4.

These equation of Maxwell represent which form?

a)

Integral only

b)

Point Only

c)

Integral as well as Point form

d)

None of above

5.

These equation of Maxwell represent which form?

a)

Integral only

b)

Point Only

c)

Integral as well as Point form

d)

None of above

6.

 A\nabla\cdot\overrightarrow{A}  =.........

a)

Answer is scalar quantity.

b)

Divergence 

c)

A & B both

d)

None of above

7.

Temperature is which quantity?

a)

Scalar

b)

Vector

c)

None of above

8.

What is the equation of Electric field intensity due to infinite line charge?

a)

E =ρl2πr\overrightarrow{E\ }\ =\frac{\rho_l}{2\pi r}

b)

E =ρl2πr\overrightarrow{E}\ =\frac{\rho_l}{2\pi\in r}

c)

E =ρs2\overrightarrow{E}\ =\frac{\rho_s}{2\in}

d)

None of Above

9.

What is the equation of Electric field Intensity due to Infinite Sheet charge?

a)

E =ρs2\overrightarrow{E}\ =\frac{\rho_s}{2}

b)

E =ρs2\overrightarrow{E\ }\ =\frac{\rho_s}{2\in}

c)

None of above

10.

What is the equation of Electric field Intensity due to Infinite Sheet charge?

a)

E =ρs2\overrightarrow{E}\ =\frac{\rho_s}{2}

b)

E =ρs2\overrightarrow{E\ }\ =\frac{\rho_s}{2\in}

c)

None of above

11.

What is the condition of Free Space?

a)

(A)Conductivity is equal to zero.

b)

(B)Conductivity is not equal to zero.

c)

(C)=0\left(C\right)\in=\in_0

d)

(D) A &C both

12.

What is the differential volume of Cartesian Co-ordinate System?

a)

dV=dxdydz

b)

dV=3dxdydz

c)

dv=dydz

d)

None of above

13.

What is the equation of differential volume of spherical co-ordinate systems?

a)

dV = sinθ drdθdϕ\ \sin\theta\ drd\theta d\phi

b)

dV = r2sin(θ)drdθdϕr^2\sin\left(\theta\right)drd\theta d\phi

c)

dV = drdϕdrd\phi

d)

None of above

14.

What is the meaning of scalar quantity?

a)

It deals with only magnitude.

b)

It deals with only directions.

c)

A & B both

d)

None of above

15.

What is the equation of Cross Product?

a)

A ×B =ABcos(θ)\overrightarrow{A}\ \times\overrightarrow{B\ }=AB\cos\left(\theta\right)

b)

A ×B =ABsin(θ)\overrightarrow{A}\ \times\overrightarrow{B\ }\ =AB\sin\left(\theta\right)

c)

A ×B = ABcos(θσ)\overrightarrow{A\ }\ \times\overrightarrow{B\ }=\ AB\cos\left(\theta\sigma\right)

d)

None of above

16.

What is the meaning of differential length in Cartesian co-ordinate system?

a)

dl=dxax+ dyaz\overrightarrow{dl}=dx\overrightarrow{a_x}+\ dy\overrightarrow{a_z}

b)

dl =dxax+dyay +dzaz\overrightarrow{dl}\ =dx\overrightarrow{a_x}+dy\overrightarrow{a_y}\ +dz\overrightarrow{a_z}

c)

dl = dyay\overrightarrow{dl}\ =\ dy\overrightarrow{a_y}

d)

None of above

17.

Determine Electric Field at P(1,5,2) Due to line charge

20 nC/m lies along the entire Z axis.

a)

50V/m

b)

70V/m

c)

89V/m

d)

None of above

18.

What is the range of x, y, z in Cartesian co-ordinate system?

a)

0x,0y,0z0\le x\le\infty,0\le y\le\infty,0\le z\le\infty

b)

x=0,y=0,z=0

c)

x=y=z=1

d)

None of above

19.

Consider a system of three charges q/3, q/3 and –2q/3 placed at points A, B and C respectively as shown in the figure. Take O to be the center of the circle of radius R and angle CAB = 60º

a)

The electric field at point O is q/8πε0R2

b)

The magnitude of the force between the charges at C and B is q2/54πε0R2

c)

The potential energy of the system is zero

d)

The potential at point O is q/12πε0R

20.

Consider the figure given below in which an infinite conductor has uniform surface charge distribution σ0 and adjacent to it is an infinite parallel layer of charge with volume charge density ρ varying according to following relation ρ=ρ0e-αz , where z>0. Electric field due to the conductor is........

a)

1

b)

0

c)

infinite

d)

Non of above

21.

Total electric flux is passing through any closed surface is equal to total charge enclosed by closed surface.....

It is known as .....

a)

Gauss law for electric field

b)

Gauss law for Magnetic Field

c)

Amperial Circuital law

d)

Farada's law

22.

What is the symbol of line charge density , surface charge density and volume charge density respectively?

a)

ρl,ρs,ρ\rho_l,\rho_{s,}\rho

b)

ρl,ρs,ρv\rho_l,\rho_s,\rho_v

c)

ρl,ρv,ρs\rho_l,\rho_v,\rho_s

d)

None of above

23.

Two copper spheres A and B are of the same radii. Sphere A is hollow and Sphere B is solid. If both spheres are charged to the same potential……

a)

Both will hold the same charge

b)

B will hold more charge as compared to A

c)

A will hold more charge as compared to B

d)

Both will not hold any charge

24.

Convert the given spherical Point into Cartesian co-ordinate system (4, 30°30^{\degree}  , (60°.)\left(60^{\degree}.\right)  

a)

(1, 2, 4) 

b)

(1.25, 2.165, 4) 

c)

(1.25, 2.165, 4.33) 

d)

None of above

25.

 θ=30°\theta=30\degree  A normal unit vector to the cone is......

a)

 ar\overrightarrow{a_r}  

b)

 aθ\overrightarrow{a_{\theta}}  

c)

 aϕ\overrightarrow{a_{\phi}}  

d)

None of above

26.

The cylindrical coordinate

system is also referred to as.........


a)

Cartesian System

b)

Circular system

c)

Spherical System

d)

Space system

27.

Spherical systems are employed in waveguides. State True/False

a)

True

b)

False

28.

Find the spherical coordinates of A(2,3,1).........

a)

(14,0,5 )\left(\sqrt{14,}0,5\ \right)

b)

( 10°10\degree , 20°20\degree ,3)

c)

None of above

29.

Which of the following criteria is used to choose a coordinate system?

a)

Distance

b)

Intensity

c)

Magnitude

d)

Geometry

30.

What is the equation of Del operator?

a)

=\nabla= xyxy+xyxy+dxdy\frac{\partial x}{\partial y}\overline{xy}+\frac{\partial x}{\partial y}\overrightarrow{xy}+\frac{\text{d}x}{\text{d}y}

b)

\nabla = xax+xay+xaz\frac{\partial}{\partial x}\overrightarrow{a_x}+\frac{\partial}{\partial x}\overrightarrow{a_y}+\frac{\partial}{\partial x}\overrightarrow{a_z}

c)

=xax+yay+zaz\nabla\ =\frac{\partial}{\partial x}\overrightarrow{a}_x+\frac{\partial}{\partial y}\overrightarrow{a}_y+\frac{\partial}{\partial z}\overrightarrow{a}_z

d)

None of above

31.

 E.  dl  = 0\oint_{ }^{ }\overrightarrow{E.\ }\ \overrightarrow{dl}\ \ =\ 0   What is the meaning of this eqaution?

a)

Emf induced in the closed loop is always equal to zero.

b)

Work done along closed loop is always equal to zero.

c)

It is Conservative field

d)

It is the farday's law for static field

e)

all of above

32.

Match the following table 1 and 2 very carefully

a)

1-(A) 2-(B) 3-(C) 4-(D)

b)

1-(A) 2-(A) 3-(C) 4-(D)

c)

None of above

33.

If dell operator that can be Cross product with any vector quantity then answer is known as --------------.

a)

Divergence

b)

Curl

c)

Gradient

d)

None of above

34.

What is the meaning of Positive divergence?

a)

Incoming flux >> Outgoing flux

b)

Incoming flux = Outgoing flux

c)

Incoming flux < Outgoing flux<\ Outgoing\ flux

d)

None of above

35.

What is the meaning of Negative divergence

a)

Source of flux

b)

sink of flux

c)

incoming flux=outgoing flux

d)

none of above

36.

What is the meaning of Negative divergence

a)

Source of flux

b)

sink of flux

c)

incoming flux=outgoing flux

d)

none of above

37.

What are the main types of Maxwell equations?

a)

4

b)

3

c)

2

d)

1

38.

What are the main types of Maxwell equations?

a)

4

b)

3

c)

2

d)

1

39.

What are the types of Maxwell equations?

a)

Only integral form

b)

Only point form

c)

Point form and integral form

d)

None of above

40.

What are the types of Maxwell equations?

a)

Only integral form

b)

Only point form

c)

Point form and integral form

d)

None of above

41.

Which theorem is used to convert integral form of Maxwell Equation into Point Form ?

a)

Stroke's theorem

b)

Divergence theorem

c)

Stroke and divergence theorem

d)

None of above

42.

What is your name and Enrollment number?

4 lines
43.

What is your name and Enrollment number?

4 lines
44.

For which body the following variation of E with r is observed?

a)

Line of charge

b)

Sheet of charge

c)

Spherical shell

d)

Point charge

45.

The property of magnetic field to converge electrons is used in microscopes as ___________

a)

Magnetic Convergence

b)

Magnetic plate

c)

Magnetic field

d)

Magnetic Lens

46.

The property of magnetic field to converge electrons is used in microscopes as ___________

a)

Magnetic Convergence

b)

Magnetic plate

c)

Magnetic field

d)

Magnetic Lens

47.

Like charge always repel with each other and unlike charge always attract with each other it is known as which law?

a)

Gauss law

b)

Coulomb's law

c)

Maxwell Equation

d)

None of above

48.

What is the unit of magnetic field and electric field respectively?

a)

A/m, & V/m

b)

V/m & A/m

c)

V & A

d)

None of above

49.

 ×H = J +Dt\nabla\times\overrightarrow{H}\ =\ \overrightarrow{J}\ +\frac{\partial\overrightarrow{D}}{\partial t}  Mention Physical meaning of this equation?

a)

Change in magnetic field with respect to time it will responsible for production of rotation of electric field.

b)

electric field and magnetic field is perpendicular to each other.

c)

Change in electric field with respect to time it will responsible for production of rotational magnetic field.

d)

A and B Both

50.

Which among the following statements is true with

regard to electric field lines?

a)

a) Electric field lines

always intersect

b)

b) Electric field lines

may or may not intersect

c)

c) Electric field lines

can be seen

d)

d) Electric field lines

never intersect

51.

What are the Properties of electric field developed at P Point due to infinite line charge?

a)

A) It is directly proportional to line charge density

b)

B) It is the inversely proportional to the distance between filament and P point at which we want to find E

c)

C) It is inversely Proportional to the permittivity of medium

d)

D) All of above

52.

For any vector divergence of curl of any vector is always is equal to...........

a)

Zero

b)

One

c)

Infinite

d)

None of above

53.

For any vector curl of gradient of any vector is always equal to .....

a)

1

b)

2

c)

zero

d)

Infinite

54.

 ×E =Bt\nabla\times\overrightarrow{E}\ =-\frac{\partial B}{\partial t}  mention the physical significance of this equation ?

a)

Change in magnetic field with respect to time it will responsible for production of rotational electric field .

b)

Electric and Magnetic field always Perpendicular to each other.

c)

A & B both

d)

None of above

55.

What is the impedance of free space?

a)

377 ohm

b)

240 ohm

c)

240 ohm

d)

120 ohm

56.

What is the angle between Electric and Magnetic field ?


a)

20

b)

40

c)

70

d)

90

57.

EM Wave has Electric and Magnetic field component. Electric Field is travelling in positive X direction and Magnetic Field in direction of Positive Y Direction. then What is Propagating Direction of EM Wave?

a)

Positive Y

b)

Positive X

c)

Positive Z

d)

None of above

58.

EM Wave has Electric and Magnetic field component. Electric Field is travelling in positive X direction and Magnetic Field in direction of Positive Y Direction. then What is Propagating Direction of EM Wave?

a)

Positive Y

b)

Positive X

c)

Positive Z

d)

None of above

59.

Which

components exist in an electromagnetic wave?

a)

Only E

b)

only H

c)

C.

Both

E and H

d)

D. None of above

60.

Which theorem is used to convert surface integral in to volume integral?

a)

Divergence Theorem

b)

Stroke theorem

c)

Gauss law

d)

None of above

61.

Which

of the following theorem use the curl operation?

a)

A.

Green’s

theorem

b)

B.

Gauss

Divergence theorem

c)

C.

Stroke’s

theorem

d)

D.

Maxwell

equation

62.

 A  =(xzy)ax   Transform this vector into spherical coordinate system and evalute at P(1,2,3)\overrightarrow{A\ }\ =\left(\frac{xz}{y}\right)\overrightarrow{a_x\ }\ \ Transform\ this\ vector\ into\ spherical\ co-ordinate\ system\ and\ evalute\ at\ P\left(1,2,3\right)  

Type your answer in blank.

4 lines
63.

Identify the devices that do not use electromagnetic energy.

a)

Television

b)

Washing machine

c)

Fan

d)

B & C both

64.

What is the meaning of static field?

a)

It is constant field.

b)

field can not be change with respect to time

c)

Field that can be change with respect to time

d)

None of above

65.

Match table

a)

1-a ,2 -b,3-c ,4-d

b)

1-d,2-a,3-b,4-c

c)

1-b,2-c,3-d,4-a

d)

None of above

66.

Two infinite uniform line charges of linear charge density 2 C/m lies in a XY plan at x =+a m and x=-a m.. A positive charge particle of charge q is placed at the origin and it is displaced by a distance k from origin towards +x axis.

a)

(a) The charge particle will oscillate but not harmonically for all values of 0 < k <a

b)

(b) The charge particle will oscillate harmonically for all values of 0 < k <a

c)

(c) The charge particle will oscillate harmonically for k<<<a

d)

a &C both

67.

Two infinite uniform line charges of linear charge density 2 C/m lies in a XY plan at x =+a m and x=-a m.. A positive charge particle of charge q is placed at the origin and it is displaced by a distance k from origin towards +x axis.

a)

(a) The charge particle will oscillate but not harmonically for all values of 0 < k <a

b)

(b) The charge particle will oscillate harmonically for all values of 0 < k <a

c)

(c) The charge particle will oscillate harmonically for k<<<a

d)

a &C both

68.

Coulomb law is employed in……

a)

a) Electrostatics

b)

b) Magneto statics

c)

c) Electromagnetics

d)

d) Maxwell theory

69.

If a positive charged pendulum is oscillating in a uniform electric field (Fig. 1). Its time period as compared to that when it was unchanged….

a)

A) Will Increase

b)

B) will Decrease

c)

C) No change

d)

D) constant

70.

 x =5ax\overrightarrow{x\ }=5\overrightarrow{a_x}  Transform the vector  into spherical co-ordinates and determine only Radial component of X.
Calculate and Type answer here 

4 lines
71.

Given

Points A(1,-2,3),B(4,5,6) ,C(5,6,7) assume

that with the help of points Triangle will made .Determine area of

triangle.

a)

8

b)

16

c)

29

d)

8\sqrt{8}

72.

What is the used of co-ordinate system?

a)

A) Specify the position of a point

b)

B) Specify the position of more complex figures such as lines, planes, circles or spheres.

c)

C)A and B both

d)

D)None of above

73.

Where surfaces p = 2 and z = 1 intersect is

a)

(a) an infinite plane

b)

(b) a semi-infinite plane

c)

(c) a circle

d)

(d) a cylinder

74.

Where surfaces p = 2 and z = 1 intersect is

a)

(a) an infinite plane

b)

(b) a semi-infinite plane

c)

(c) a circle

d)

(d) a cylinder

75.

The pressure inside a piston

cylinder is a variable of

a)

a) Radius

b)

b) Plane angle

c)

c) Z plane distance

d)

d) Constant, not a variable

76.

Determine Electric field at P(1,2,3) due to Infinite sheet having surface charge density  ρs=20nCm2\rho_s=\frac{20nC}{m^2} put at x= -1 .

a)

 1048.85\frac{10^4}{8.85}  V/m

b)

 1058.85\frac{10^5}{8.85}  V/m

c)

A & b both

d)

None of above

77.

Displacement current is more in -------based circuit

a)

Resistive

b)

Capacitive

c)

Inductor

d)

None of above

78.

 ax. aθ\overrightarrow{a_x.}\ \overrightarrow{a_{\theta}}  =.............

a)

cos( (θ)\left(\theta\right)  cos ϕ\phi  

b)

cos θ\theta  

c)

None of above

79.

 az .ar=....\overrightarrow{a_z}\ .\overrightarrow{a_r}=....  from dot table

a)

cos( (θ)\left(\theta\right)  

b)

sin(23)

c)

cos( ϕ\phi  )

d)

None of above

80.

EM Wave has Electric and Magnetic field component. Electric Field is travelling in positive y direction and Magnetic Field in direction of Positive X Direction. then What is Propagating Direction of EM Wave?

a)

A) Positive X

b)

B) Negative z

c)

C) Positive Y

d)

None of Above

81.

Which law is used to Measure Magnetic Field intensity at given any point in space?

a)

A. Bio-savart law

b)

B. Gauss law

c)

C. Maxwell

d)

None of above

82.

What is the other name of Cartesian co-ordinate system?

a)

Rectangular

b)

Cylindrical

c)

Spherical

d)

None of above

83.

What is the value of theta vary in spherical co-ordinate system?

a)

0 to π\pi

b)

0 to 3

c)

0 to infinite

d)

None of above

84.

What is the equation of current?

a)

J.ds\int_{ }^{ }\ J.\overrightarrow{ds} =I (1)

b)

I= dqdtI=\ \frac{-dq}{dt} (2)

c)

1 &2 Both

d)

none of above

85.

 ax. ay  =.......for dot product.\overrightarrow{a_x.}\ \overrightarrow{a_y}\ \ =.......for\ dot\ product.  

a)

0

b)

1

c)

23

d)

4

86.

What is the value of electric field due to Point charge?

a)

E = Q4πϵr2\overrightarrow{E}\ \ =\ \frac{Q}{4\pi\epsilon r^2}

b)

E= R

c)

None of above