Static Electricity and Coulomb's Law Question Bank |

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1
If an electric force from the first charge acts on the second charge
10N
to the right
then the force exerted by the second charge on the first equals
We cannot determine because -C
we don't know the magnitude of the charges
\[F_{21}=10\;\;N \;\;\;\;\;\;-A\]
to the right
We cannot determine because -D
we don't know the type of charges
\[F_{21}=10\;\;N\;\;\;\;\;\;-B\]
to the left
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2
By what factor does the electric force between two charges change if the magnitude of one charge is doubled and the distance between them is halved
\[Fe_2= 2Fe_1\;\;\;\;\;\;-C\]
\[Fe_2= 4Fe_1\;\;\;\;\;\;-A\]
\[Fe_2= 8Fe_1\;\;\;\;\;\;-D\]
\[Fe_2= 16Fe_1\;\;\;\;\;\;-B\]
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3

Two charges have the same magnitude as shown in the figure. The distance between them is 0.2 m. If the electric force between them equals 0.4 N, then the magnitude of each charge equals:
0.2 m
The electric force between them is 0.4 N
Then the magnitude of each charge equals:
\[q=1.77 ×10^{-6}\;\;c \;\;\;\;\;\; -C \]
\[q = 4.85 X10^{-6}\;\;c \;\;\;\;\;\;-A\]
\[q=8.62 ×10^{-6}\;\;c \;\;\;\;\;\; -D \]
\[q=1.33 X10^{-6}\;\;c\;\;\;\;\;\;-B\]
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4
An electroscope charged with a positive charge was approached by an object. It was observed that the leaves of the electroscope diverged more, which means the object:
Cannot determine the charge of the object -C
because it didn't touch the electroscope
The object is uncharged -A
The object is positively charged -D
The object is negatively charged -B
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5

One of the following conductors increased in mass:
Note:
In the picture, approach occurred in
\[A\;\;\;\;\;,B\] and contact occurred in
\[C\;\;\;\;\;,D\]

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6
A neutral electroscope was approached by a positively charged conductor. It was observed that the leaves of the electroscope diverged, which means:

The stem and leaves were charged positively - C
The stem was charged positively - A
and the leaves negatively
The stem and leaves were charged negatively - D
The stem was charged negatively - B
and the leaves positively
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7

Two similar neutral conductors were approached by a positively charged object as shown in the figure. The conductors were then separated from each other without removing the charged object. The charges on the conductors will be:

(B positive charge)(A negative charge) - C
(B negative charge)(A negative charge) - A
(B negative charge)(A positive charge) - D
(B positive charge)(A positive charge) - B
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8
Two similar neutral conductors were brought close to a negatively charged object as shown in the figure
Then they were connected to ground
and then the connection to ground was cut
The conductors were moved apart from
each other without moving the charged object
The charge on the conductors will be:

(B positive)(A neutral) -C
(B negative) (A neutral) -A
(B positive)(A positive) -D
(B negative)(A positive)-B
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9

Two similar neutral conductors were brought close to a positively charged object
as shown in the figure between the two conductors
then connected to the ground
then the ground connection was disconnected
and the charged object was moved away
and the conductors were separated from each other
then the charge on the conductors would be:

(B positive charge)(A neutral) -C
(B negative charge) (A negative charge) -A
(B neutral)(A positive charge) -D
(B negative charge)(A positive charge)-B
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10
By what factor does the distance between two charges change if the mutual force between them increases to three times its original value while keeping all other factors constant?

\[r_2=0.577r_1 \;\;\;\;\;\; -C \]
\[r_2=3r_1 \;\;\;\;\;\;-A\]
\[r_2=0.11r_1 \;\;\;\;\;\; -D \]
\[r_2=9r_1\;\;\;\;\;\;-B\]
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11
In Charles Coulomb's experiment, the deflection of ball
\[A\]
was measured when the charges of both balls were \[ qA = qB \] and the distance between them was
\[r\]. If we reduce the distance between the balls to half while keeping the deflection of ball
\[a\] constant,
by what value should we change the charge of ball \[B \]
\[q_2=0.5q_1 \;\;\;\;\;\; -C \]
\[q_2=2q_1 \;\;\;\;\;\;-A\]
\[q_2=0.25q_1 \;\;\;\;\;\; -D \]
\[q_2=4q_1\;\;\;\;\;\;-B\]
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12

A neutral conductor was approached by a negatively charged object
without contact
and the conductor was grounded by touching the earth then
the connection to earth was cut
and the negatively charged object was moved away
from the conductor. The conductor then
Only charge redistribution occurred -C
Remained neutral -A
Became negatively charged -D
Became positively charged -B
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13

Three charges are in a straight line as shown in the figure of the same type
and their magnitudes are shown in the figure. The direction of the force acting
on charge
q2

To the left -C
Net force is zero -A
To the right -D
Northeast direction -B
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14
A spherical object was touched by a charged object and it was noticed that the sphere at the contact point
acquired
a charge similar to the charged object while the rest of the object remained neutral. This means the spherical object is

Copper sphere -C
Metal sphere -A
Glass sphere-D
Graphite sphere-B
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15
Based on the figure below, the charge
\[q_2\] is
and the electric force acting on it

\[F_{12}= 10\;\; N\;\; \longrightarrow \;\;\;\;\;\;-C\]
q_2 has positive charge
\[F_{12}= 5\;\; N\;\; \longleftarrow\;\;\;\;\;\;-A\]
q_2 has positive charge
\[F_{12}= 5\;\; N\;\; \longleftarrow\;\;\;\;\;\;-D\]
q_2 has negative charge
\[F_{12}= 10\;\; N\;\; \longrightarrow\;\;\;\;\;\;-B\]
q_2 has negative charge
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16
An object with unknown charge
When the object with unknown charge touched the electroscope, the leaves of the electroscope diverged
The object with unknown charge was removed and a positively charged object was brought near
the electroscope without touching it
It was observed that the divergence of the electroscope leaves decreased
This indicates that the object with unknown charge was
The object lost electrons - C
The object is positively charged - A
The object is uncharged - D
The object is negatively charged - B
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17

An equilateral triangle has the following charges placed at its vertices. The resultant force acting on an electron at the center of the triangle is represented by the vector

\[3 \;\;\;\;\;\; -C \]
\[1 \;\;\;\;\;\;-A\]
\[4 \;\;\;\;\;\; -D \]
\[2\;\;\;\;\;\;-B\]
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18


The figure below shows three point charges in a straight line, positively charged. If the total electric force acting on the second charge is zero, then the ratio \[\frac{𝑟_1}{𝑟_2}\] equals

\[\frac{𝑟_1}{𝑟_2}=0.57 \;\;\;\;\;\; -C \]
\[\frac{𝑟_1}{𝑟_2}= 0.81 \;\;\;\;\;\;-A\]
\[\frac{𝑟_1}{𝑟_2}=1.41 \;\;\;\;\;\; -D \]
\[\frac{𝑟_1}{𝑟_2}=1.22\;\;\;\;\;\;-B\]
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19.
One of the following charges could be the charge of an object
Given that
\[e=1.6 ×10^{-19}\;c\]

\[9 ×10^{-19} \;\;c\;\;\;\;\;\;-C\]
\[ 3 ×10^{-19} \;\;c\;\;\;\;\;\;-A\]
\[4.5 ×10^{-19} \;\;c\;\;\;\;\;\;-D\]
\[5.2 ×10^{-19} \;\;c\;\;\;\;\;\;-B\]
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20

An electroscope with its base connected to the ground had a negatively charged object brought near it without contact. One of the following figures shows what happens to the electroscope

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21

In the figure below, four charges are placed on the corners of a square
as shown in the figure
A proton is placed at the center of the square
The direction of the net electric force acting on the proton is:

\[\searrow \;\;\;\;\;\; -C \]
Direction of q3
\[\nearrow \;\;\;\;\;\;-A\]
Direction of q1
\[\swarrow \;\;\;\;\;\; -D \]
Direction of q4
\[\nwarrow \;\;\;\;\;\;-B\]
Direction of q2
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22
A balloon was rubbed with a piece of wool, becoming negatively charged with a charge of
2.4 × 10-18c
Then the piece of wool
\[q_e=1.6× 10^{-19} C\]
Gained 15 electrons - C
Lost 15 electrons - A
Lost number of electrons - D
\[2.4 × 10^{-18}\]
Gained number of electrons - B
\[2.4 × 10^{-18}\]
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23
A glass rod was rubbed with a piece of wool, becoming positively charged, then the glass rod
Lost protons - C
Gained electrons - A
Gained protons - D
Lost electrons - B
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24

By what factor does the electric force between two charges change
if the distance between the charges is doubled
while keeping other factors constant?

\[F_2=2 F_1 \;\;\;\;\;\; -C \]
\[F_2=0.5 F_1 \;\;\;\;\;\;-A\]
\[F_2=2 F_1 \;\;\;\;\;\; -D\]
\[F_2=0.25 F_1 \;\;\;\;\;\;-B\]
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25
Two different types of charges with magnitudes and distances as shown below
\[q_1=2q\; c\;\;\;\;\; q_2=3q\; c\;\;\;\;\; r=0.1m \]
The mutual force between the charges was \[Fe=0.6 N\], then the magnitude of each charge equals:

\[q_1=2.22 ×10^{-7}\;c\;\;\;\;\; q_2=3.33 ×10^{-7}\;c\;\;\;\;\;\; -C \]
\[q_1=6.66 ×10^{-7}\;c\;\;\;\;\; q_2=3.33 ×10^{-7}\;c\;\;\;\;\;\; \;\;\;\;\;\;-A\]
\[q_1=1.11 ×10^{-7}\;c\;\;\;\;\; q_2=1.66 ×10^{-7}\;c\;\;\;\;\;\;\;\;\;\;\;\; -D\]
\[q_1=3.33 ×10^{-7}\;c\;\;\;\;\; q_2=4.99 ×10^{-7}\;c\;\;\;\;\;\; \;\;\;\;\;\;-B\]
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26
Three charges in a straight line as shown in the figure
Their magnitudes and distances are shown in the figure
Calculate the electric force acting on the second charge
\[ F=6.7\;\; N \;\;\;\;\;\; -C \]
\[ F=1.3\;\; N \;\;\;\;\;\;-A\]
\[ F=5.2\;\; N \;\;\;\;\;\; -D \]
\[ F=2.7\;\; N \;\;\;\;\;\;-B\]
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27
A charged body with a charge of
\[q=+1\;\;c\]
Then the number of elementary charges in the body
Knowing that the elementary charge equals \[e=1.602×10^{-19}\;\;\]
\[ 𝑛=6.24 ×10^{18}\;\;\;\;\;\; -C \]
proton
\[ 𝑛=1.44 ×10^{20} \;\;\;\;\;\;-A\]
proton
\[ 𝑛=8.26 ×10^{21} \;\;\;\;\;\; -D \]
proton
\[ 𝑛=5.76 ×10^{19}\;\;\;\;\;\;-B\]
proton
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28
An electroscope charged with a negative charge
A negatively charged object was brought close
to the electroscope without touching it, then the electroscope leaves

Decreases then increases -C
the divergence of the leaves
The divergence of the leaves does not change -A
Increases the divergence of the leaves-D
Decreases the divergence of the leaves -B
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29
Electrostatic precipitator is used
in
Purifying factory gas emissions -C
Car painting -A
Receiving lightning strikes-D
Laser printers -B
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30
An electroscope charged with a negative charge was touched by a conductor
It was noticed that the electroscope leaves
closed then reopened, this indicates that the conductor

The conductor is neutral -C
The conductor is negatively charged -A
The conductor has variable charge -D
The conductor is positively charged -B
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If an electric force from the first charge acts on the second charge
10N
to the right
then the force exerted by the second charge on the first equals
We cannot determine because -C
|
\[F_{21}=10\;\;N \;\;\;\;\;\;-A\] to the right |
We cannot determine because -D
|
\[F_{21}=10\;\;N\;\;\;\;\;\;-B\] to the left |
Choose the correct answer

By what factor does the electric force between two charges change if the magnitude of one charge is doubled and the distance between them is halved
\[Fe_2= 2Fe_1\;\;\;\;\;\;-C\] |
\[Fe_2= 4Fe_1\;\;\;\;\;\;-A\] |
\[Fe_2= 8Fe_1\;\;\;\;\;\;-D\] |
\[Fe_2= 16Fe_1\;\;\;\;\;\;-B\] |
Choose the correct answer


Two charges have the same magnitude as shown in the figure. The distance between them is 0.2 m. If the electric force between them equals 0.4 N, then the magnitude of each charge equals:
0.2 m
The electric force between them is 0.4 N
Then the magnitude of each charge equals:
\[q=1.77 ×10^{-6}\;\;c \;\;\;\;\;\; -C \] |
\[q = 4.85 X10^{-6}\;\;c \;\;\;\;\;\;-A\] |
\[q=8.62 ×10^{-6}\;\;c \;\;\;\;\;\; -D \] |
\[q=1.33 X10^{-6}\;\;c\;\;\;\;\;\;-B\] |
Choose the correct answer

An electroscope charged with a positive charge was approached by an object. It was observed that the leaves of the electroscope diverged more, which means the object:
Cannot determine the charge of the object -C
|
The object is uncharged -A |
The object is positively charged -D |
The object is negatively charged -B |
Choose the correct answer


One of the following conductors increased in mass:
Note:
In the picture, approach occurred in
\[A\;\;\;\;\;,B\] and contact occurred in
\[C\;\;\;\;\;,D\]
Choose the correct answer

A neutral electroscope was approached by a positively charged conductor. It was observed that the leaves of the electroscope diverged, which means:
The stem and leaves were charged positively - C |
The stem was charged positively - A
|
The stem and leaves were charged negatively - D |
The stem was charged negatively - B
|
Choose the correct answer


Two similar neutral conductors were approached by a positively charged object as shown in the figure. The conductors were then separated from each other without removing the charged object. The charges on the conductors will be:
(B positive charge)(A negative charge) - C |
(B negative charge)(A negative charge) - A |
(B negative charge)(A positive charge) - D |
(B positive charge)(A positive charge) - B |
Choose the correct answer

Two similar neutral conductors were brought close to a negatively charged object as shown in the figure
Then they were connected to ground
and then the connection to ground was cut
The conductors were moved apart from
each other without moving the charged object
The charge on the conductors will be:
(B positive)(A neutral) -C |
(B negative) (A neutral) -A |
(B positive)(A positive) -D |
(B negative)(A positive)-B |
Choose the correct answer


Two similar neutral conductors were brought close to a positively charged object
as shown in the figure between the two conductors
then connected to the ground
then the ground connection was disconnected
and the charged object was moved away
and the conductors were separated from each other
then the charge on the conductors would be:
(B positive charge)(A neutral) -C |
(B negative charge) (A negative charge) -A |
(B neutral)(A positive charge) -D |
(B negative charge)(A positive charge)-B |
Choose the correct answer

By what factor does the distance between two charges change if the mutual force between them increases to three times its original value while keeping all other factors constant?
\[r_2=0.577r_1 \;\;\;\;\;\; -C \] |
\[r_2=3r_1 \;\;\;\;\;\;-A\] |
\[r_2=0.11r_1 \;\;\;\;\;\; -D \] |
\[r_2=9r_1\;\;\;\;\;\;-B\] |
Choose the correct answer

In Charles Coulomb's experiment, the deflection of ball \[A\] was measured when the charges of both balls were \[ qA = qB \] and the distance between them was \[r\]. If we reduce the distance between the balls to half while keeping the deflection of ball \[a\] constant, by what value should we change the charge of ball \[B \]
\[q_2=0.5q_1 \;\;\;\;\;\; -C \] |
\[q_2=2q_1 \;\;\;\;\;\;-A\] |
\[q_2=0.25q_1 \;\;\;\;\;\; -D \] |
\[q_2=4q_1\;\;\;\;\;\;-B\] |
Choose the correct answer

A neutral conductor was approached by a negatively charged object
without contact
and the conductor was grounded by touching the earth then
the connection to earth was cut
and the negatively charged object was moved away
from the conductor. The conductor then
Only charge redistribution occurred -C |
Remained neutral -A |
Became negatively charged -D |
Became positively charged -B |
Choose the correct answer


Three charges are in a straight line as shown in the figure of the same type
and their magnitudes are shown in the figure. The direction of the force acting
on charge
q2
To the left -C |
Net force is zero -A |
To the right -D |
Northeast direction -B |
Choose the correct answer

A spherical object was touched by a charged object and it was noticed that the sphere at the contact point
acquired
a charge similar to the charged object while the rest of the object remained neutral. This means the spherical object is
Copper sphere -C |
Metal sphere -A |
Glass sphere-D |
Graphite sphere-B |
Choose the correct answer

Based on the figure below, the charge \[q_2\] is and the electric force acting on it
\[F_{12}= 10\;\; N\;\; \longrightarrow \;\;\;\;\;\;-C\] q_2 has positive charge |
\[F_{12}= 5\;\; N\;\; \longleftarrow\;\;\;\;\;\;-A\] q_2 has positive charge |
\[F_{12}= 5\;\; N\;\; \longleftarrow\;\;\;\;\;\;-D\] q_2 has negative charge |
\[F_{12}= 10\;\; N\;\; \longrightarrow\;\;\;\;\;\;-B\] q_2 has negative charge |
Choose the correct answer

An object with unknown charge
When the object with unknown charge touched the electroscope, the leaves of the electroscope diverged
The object with unknown charge was removed and a positively charged object was brought near
the electroscope without touching it
It was observed that the divergence of the electroscope leaves decreased
This indicates that the object with unknown charge was
The object lost electrons - C |
The object is positively charged - A |
The object is uncharged - D |
The object is negatively charged - B |
Choose the correct answer


An equilateral triangle has the following charges placed at its vertices. The resultant force acting on an electron at the center of the triangle is represented by the vector
\[3 \;\;\;\;\;\; -C \] |
\[1 \;\;\;\;\;\;-A\] |
\[4 \;\;\;\;\;\; -D \] |
\[2\;\;\;\;\;\;-B\] |
Choose the correct answer



The figure below shows three point charges in a straight line, positively charged. If the total electric force acting on the second charge is zero, then the ratio \[\frac{𝑟_1}{𝑟_2}\] equals
\[\frac{𝑟_1}{𝑟_2}=0.57 \;\;\;\;\;\; -C \] |
\[\frac{𝑟_1}{𝑟_2}= 0.81 \;\;\;\;\;\;-A\] |
\[\frac{𝑟_1}{𝑟_2}=1.41 \;\;\;\;\;\; -D \] |
\[\frac{𝑟_1}{𝑟_2}=1.22\;\;\;\;\;\;-B\] |
Choose the correct answer

One of the following charges could be the charge of an object Given that \[e=1.6 ×10^{-19}\;c\]
\[9 ×10^{-19} \;\;c\;\;\;\;\;\;-C\] |
\[ 3 ×10^{-19} \;\;c\;\;\;\;\;\;-A\] |
\[4.5 ×10^{-19} \;\;c\;\;\;\;\;\;-D\] |
\[5.2 ×10^{-19} \;\;c\;\;\;\;\;\;-B\] |
Choose the correct answer


An electroscope with its base connected to the ground had a negatively charged object brought near it without contact. One of the following figures shows what happens to the electroscope
Choose the correct answer


In the figure below, four charges are placed on the corners of a square
as shown in the figure
A proton is placed at the center of the square
The direction of the net electric force acting on the proton is:
\[\searrow \;\;\;\;\;\; -C \] Direction of q3 |
\[\nearrow \;\;\;\;\;\;-A\] Direction of q1 |
\[\swarrow \;\;\;\;\;\; -D \] Direction of q4 |
\[\nwarrow \;\;\;\;\;\;-B\] Direction of q2 |
Choose the correct answer

A balloon was rubbed with a piece of wool, becoming negatively charged with a charge of
2.4 × 10-18c
Then the piece of wool
\[q_e=1.6× 10^{-19} C\]
Gained 15 electrons - C |
Lost 15 electrons - A |
Lost number of electrons - D |
Gained number of electrons - B |
Choose the correct answer

A glass rod was rubbed with a piece of wool, becoming positively charged, then the glass rod
Lost protons - C |
Gained electrons - A |
Gained protons - D |
Lost electrons - B |
Choose the correct answer

By what factor does the electric force between two charges change
if the distance between the charges is doubled
while keeping other factors constant?
\[F_2=2 F_1 \;\;\;\;\;\; -C \] |
\[F_2=0.5 F_1 \;\;\;\;\;\;-A\] |
\[F_2=2 F_1 \;\;\;\;\;\; -D\] |
\[F_2=0.25 F_1 \;\;\;\;\;\;-B\] |
Choose the correct answer

Two different types of charges with magnitudes and distances as shown below
\[q_1=2q\; c\;\;\;\;\; q_2=3q\; c\;\;\;\;\; r=0.1m \]The mutual force between the charges was \[Fe=0.6 N\], then the magnitude of each charge equals:
\[q_1=2.22 ×10^{-7}\;c\;\;\;\;\; q_2=3.33 ×10^{-7}\;c\;\;\;\;\;\; -C \] |
\[q_1=6.66 ×10^{-7}\;c\;\;\;\;\; q_2=3.33 ×10^{-7}\;c\;\;\;\;\;\; \;\;\;\;\;\;-A\] |
\[q_1=1.11 ×10^{-7}\;c\;\;\;\;\; q_2=1.66 ×10^{-7}\;c\;\;\;\;\;\;\;\;\;\;\;\; -D\] |
\[q_1=3.33 ×10^{-7}\;c\;\;\;\;\; q_2=4.99 ×10^{-7}\;c\;\;\;\;\;\; \;\;\;\;\;\;-B\] |
Choose the correct answer

Three charges in a straight line as shown in the figure
Their magnitudes and distances are shown in the figure
Calculate the electric force acting on the second charge
\[ F=6.7\;\; N \;\;\;\;\;\; -C \] |
\[ F=1.3\;\; N \;\;\;\;\;\;-A\] |
\[ F=5.2\;\; N \;\;\;\;\;\; -D \] |
\[ F=2.7\;\; N \;\;\;\;\;\;-B\] |
Choose the correct answer

A charged body with a charge of
\[q=+1\;\;c\]
Then the number of elementary charges in the body
Knowing that the elementary charge equals \[e=1.602×10^{-19}\;\;\]
\[ 𝑛=6.24 ×10^{18}\;\;\;\;\;\; -C \] proton |
\[ 𝑛=1.44 ×10^{20} \;\;\;\;\;\;-A\] proton |
\[ 𝑛=8.26 ×10^{21} \;\;\;\;\;\; -D \] proton |
\[ 𝑛=5.76 ×10^{19}\;\;\;\;\;\;-B\] proton |
Choose the correct answer

An electroscope charged with a negative charge
A negatively charged object was brought close
to the electroscope without touching it, then the electroscope leaves

Decreases then increases -C
|
The divergence of the leaves does not change -A |
Increases the divergence of the leaves-D |
Decreases the divergence of the leaves -B |
Choose the correct answer

Electrostatic precipitator is used
in
Purifying factory gas emissions -C |
Car painting -A |
Receiving lightning strikes-D |
Laser printers -B |
Choose the correct answer

An electroscope charged with a negative charge was touched by a conductor
It was noticed that the electroscope leaves
closed then reopened, this indicates that the conductor
The conductor is neutral -C |
The conductor is negatively charged -A |
The conductor has variable charge -D |
The conductor is positively charged -B |
Choose the correct answer