Free Printable Gauss Theorem

1.

A solid non-conducting sphere has a radius R and a charge of +Q uniformly distributed throughout its volume. Which graph below describes the electric field as a function of distance r from the center of the sphere?

a)

b)

c)

d)

e)

2.

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

3.

A point particle with 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

4.

Fig. shown is a distribution of charges. The flux of electric field due to these charges through the surface S is

a)

$\frac{3q}{\in_0}$

b)

$\frac{q}{\in_0}$

c)

zero

d)

$\frac{2q}{\in_0}$

5.

The electric intensity due to an infinite cylinder of radius R and having charge q per unit length at a distance r (r>R) from its axis is

a)

Directly proportional to $r^2$

b)

Directly proportional to r

c)

Inversely proportional to r

d)

Inversely proportional to $r^2$

6.

The S.I. unit of electric flux is

a)

Joule per coulomb

b)

Newton per coulomb

c)

Weber

d)

Volt metre

7.

An electric dipole is put in north-south direction in a sphere filled with water. Which statement is correct

a)

Electric flux is coming towards sphere

b)

Electric flux is coming out of sphere

c)

Electric flux entering into sphere and leaving the sphere are same

d)

Water does not permit electric flux to enter into sphere

8.

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

a)

$\left(\phi_1+\phi_2\right)\in_0$

b)

$\left(\phi_1-\phi_2\right)\in_0$

c)

$\frac{\left(\phi_1+\phi_2\right)}{\in_0}$

d)

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

9.

Which quantity and unit are correctly paired?

a)

electric field strength and N/C

b)

electricity and Coulombs

c)

electrostatic force and electrons

d)

electric field strength and E

10.

A point charge Q is far from all other charges. At a distance of 2 m from Q, the electric field is 20 N/C. What is the force a charge of 5 Coulombs feels?

a)

4 N

b)

100 N

c)

40 N

d)

10 N

Gauss Theorem

Total questions: 10

Worksheet time: 15mins

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