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Electrostatics_Gauss's law

Total questions: 37

Worksheet time: 28mins

Name
Class
Date
1.

What is your class roll no. ( type as as 01 , 02 ,03, ....12 , ....40 etc)

4 lines
2.
The electric flux Φ through a surface
a)
is the amount of electric field piercing the surface
b)
is the electric field multiplied by the area.
c)
does not depend on the area involved
d)
is the line integral of the electric field around the edge of the surface
3.
Charge Q is distributed uniformly throughout a spherical insulating shell. The net electric flux through the inner surface of the shell is: 
a)
0
b)
Q/e0
c)
2Q/e0
d)

(Q/4 πϵ0\pi\epsilon0  )

4.
The area vector for a flat surface
a)
is parallel to the surface and has a magnitude equal to the length of a side of the surface.
b)
is perpendicular to the surface and has a magnitude equal to the length of a side of the surface.
c)
is parallel to the surface and has a magnitude equal to the area of the surface.
d)
is perpendicular to the surface and has a magnitude equal to the area of the surface.
5.

A point charge q is placed inside a cube at its center.  The electric flux through any one side of the cube:

a)
is zero
b)
is q/2ε0
c)
is q/4ε0
d)
is q/6ε0
6.

Four charges are placed in three-dimensional space. The charges have magnitudes +3q, −q, +2q, and −7q. If a Gaussian surface encloses all the charges, what will be the electric flux through that surface?

a)

−13q/ ϵ0\epsilon0  

b)

−3q/ ϵ0\epsilon0  

c)

3q/ ϵ0\epsilon0  

d)

13q/ ϵ0\epsilon0  

7.

The electric flux through a spherical Gaussian surface of radius R centered about an amount of charge Q is 1200 N/C m2. What is the electric flux through a cubic Gaussian surface of side R centered about the same charge Q?

a)

Less than 1200

b)

More than 1200

c)

Equal to 1200

d)

It cannot be determined with the given parameters

8.

Which of the following figures represent the electric field lines due to a single negative charge?

a)

a

b)

b

c)

c

d)

d

9.

The magnitude of electric field intensity E is such that, an electron placed in it would experience an electrical force equal to its weight is given by:

a)

mge

b)

mg/e

c)

e/mg

d)

e²g/m²

10.

A point charge +q is placed at a distance d from an isolated conducting plane. The field at a point P on the other side of the plane is:

a)

directed perpendicular to the plane and away from the plane.

b)

directed perpendicular to the plane but towards the plane.

c)

directed radially away from the point charge.

d)

directed radially towards the point charge.

11.

What is the S. I. unit of electric flux?

a)

NCm2\frac{N}{C}m^2

b)

Nm2C2\frac{N}{m^2}C^2

c)

N m2N\ m^2

d)

Nm2C\frac{N}{m^2}C^{ }

12.

What is the value of minimum force acting between two charges placed at 1 m apart from each other

a)

K eK\ e

b)

K e2K\ e^2

c)

Ke4\frac{Ke}{4}

d)

Ke29\frac{Ke^2}{9}

13.

For a point charge, the graph between electric field versus distance is given by :

a)
b)
c)
d)
14.

What will be the value of electric field at the centre of the electric dipole : -

a)

Zero

b)

Equal to the electric field due to one charge at centre

c)

Twice the electric field due to one charge at centre

d)

half the value of electric field due to one charge at centre

15.

Electric field lines contracts lengthwise, It shows

a)

repulsion between same charges

b)

Attraction between apposite charges

c)

No relation between force & contraction.

d)

Electric field lines does not moves on straight path.

16.

Charge Q is kept in a sphere of 5 cm first than it is kept in a cube of side 5 cm. the outgoing flux will be-

a)

More in case of sphere

b)

More in case of cube

c)

Same in both cases

d)

None of the above

17.
As a proton moves in the direction the electric field lines...
a)
it is moving from low potential to high potential and gaining electric potential energy.
b)
it is moving from low potential to high potential and losing electric potential energy.
c)
it is moving from high potential to low potential and gaining electric potential energy.
d)
it is moving from high potential to low potential and losing electric potential energy.
18.

Three charges, each of value Q, are placed at the vertex of an equilateral triangle. A fourth charge q is placed at the centre of the triangle. If the charges remains stationery then, q = ______

a)

Q/2Q/√2  

b)

Q/3-Q/√3  

c)

Q/2-Q/√2  

d)

Q/3Q/√3  

19.

Suppose a point charge is located at the center of a spherical surface. The electric field at the surface of the sphere and the total flux through the sphere are determined. Now the radius of the sphere is halved. What happens to the flux through the sphere and the magnitude of the electric field at the surface of the sphere?

a)

The flux and field both increase.

b)

The flux and field both decrease.

c)

The flux increases, and the field decreases.

d)

The flux decreases, and the field increases.

e)

The flux remains the same, and the field increases.

20.
How do electric field lines represent the magnitude of an electric field?
a)
Length of the line
b)
With arrows
c)
Density of lines
d)
Width of lines
21.

A cube of side 100 cm is placed in a uniform electric field of 5 N/C such that the electric filed lines enter normal to one face of the cube. what is the net flux passing through the cube?

a)

zero

b)

5 Vm

c)

2.5 Vm

d)

100 Vm

22.

If the electric flux entering and leaving an enclosed surface respectively is ϕ1\phi_1   and ϕ2\phi_2   the electric charge inside the surface will be 

a)

(ϕ1+ϕ2)0\left(\phi_1+\phi_2\right)\in_0  

b)

(ϕ1ϕ2)0\left(\phi_1-\phi_2\right)\in_0  

c)

(ϕ1+ϕ2)0\frac{\left(\phi_1+\phi_2\right)}{\in_0}  

d)

(ϕ1ϕ2)0\frac{\left(\phi_1-\phi_2\right)}{\in_0}  

23.

Figure shows the electric lines of force emerging from a charged body. If the electric field at A and B are EA and EB respectively and if the displacement between A and B is r then

a)

EA > EB

b)

EA < EB

c)

EA = EB / r

d)

EA = EB / r2

24.

 ABC is an equilateral triangle. Charges +q are placed at each corner. The electric intensity at O will be

a)

14π0(qr2)\frac{1}{4\pi\in_0}\left(\frac{q}{r^2}\right)  

b)

14π0(qr)\frac{1}{4\pi\in_0}\left(\frac{q}{r^{ }}\right)  

c)

14π0(3qr2)\frac{1}{4\pi\in_0}\left(\frac{3q}{r^2}\right)  

d)

zero

25.

The distance between the two charges 25 μ\mu C and 36 μ\mu  C is 11 cm At what point on the line joining the two, the intensity will be zero 

a)

At a distance of 5cm from 25undefinedC

b)

At a distance of 5cm from 36undefinedC

c)

At a distance of 10cm from 25undefinedC

d)

At a distance of 11 cm from 36undefinedC

26.

A positive charge and a negative charge of equal magnitude are placed a short distance apart. Which diagram best represents the associated electric field

a)
b)
c)
d)
27.

Which of the following must be true for a Gaussian surface through which the net flux is zero?

1. There are no charges inside the surface.

2. The net charge enclosed by the surface is zero.

3. The electric field is zero everywhere on the surface.

a)

I only

b)

II only

c)

I and II only

d)

I, II, and III

28.

Spheres A, B, and C are arranged on the xy

xy-axis as shown. What is the electric flux through a Gaussian sphere of radius 80cm

centered on the origin?

a)

4qϵ0-\frac{4q}{\epsilon_0}

b)

2qϵ0-\frac{2q}{\epsilon_0}

c)

qϵ0-\frac{q}{\epsilon_0}

d)

qϵ0\frac{q}{\epsilon_0}

29.

The electrc field at a perpendicular distance from a long, straight current-carrying wire is directly proportional to:

a)

ln(r)\ln\left(r\right)

b)

r2r^2

c)

1r\frac{1}{r}

d)

1r2\frac{1}{r^2}

30.

Two negative charges A and B are placed at the corners of equilateral triangle. What is the magnitude of the net electric field at point C?

a)

2KQr2\frac{\sqrt{2}KQ}{r^2}

b)

3kQr2\frac{\sqrt{3}kQ}{r^2}

c)

kQr2\frac{kQ}{r^2}

d)

5kQr2\frac{\sqrt{5}kQ}{r^2}

31.

A charged particle is enclosed within a rectangular box and produces an Electric Flux, ϕ\phi  , through the box. What is the electric flux through a box with dimensions 3 times the size of the first box, centered on the charged particle?

a)

1/9 ϕ\phi  

b)

1/3 ϕ\phi  

c)

ϕ\phi  

d)

3 ϕ\phi  

e)

9 ϕ\phi  

32.

A charge of magnitude, q, is at the center of a sphere of radius r. What is the electric flux at the surface of the sphere? r = 0.53 m, q = 5.0 x 10^-6 C

a)

5.6 x 10^5 Nm*m/C

b)

6.5 x 10^5 Nm*m/C

c)

7.3 x 10^5 Nm*m/C

d)

1.1 x 10^6 Nm*m/C

e)

1.3 x 10^6 Nm*m/C

33.

A metal sphere of radius R is given a positive charge, q. What is the electric field at a distance r from the center, where r > R?

a)
b)
c)
d)
e)
34.

A rectangular loop is held perpendicular to a uniform E-field (the loop's normal vector, dA, is parallel to the E-field direction). At what angle to its normal does the loop have to be turned through so the electric flux is one half of its original value?

a)

15 degrees

b)

30 degrees

c)

45 degrees

d)

60 degrees

e)

90 degrees

35.

What is the S.I unit of Electric Flux?

a)

Nm2C\frac{Nm^2}{C}

b)

Nm2Nm^2

c)

NCm2\frac{NC}{m^2}

d)

N2C2m2\frac{N^2C^2}{m^2}

36.

Draw the Electric Field due to a charged Shell vs distance from centre

37.

How do you rank the question paper

a)

Very tough

b)

Interesting

c)

Moderate and thought provoking

d)

not as per my preparation