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All questions of Electric Charges and Fields for Grade 9 Exam

The total negative charge in 1 mol of helium (atomic number 2, atomic mass 4) is:
  • a)
    9.6 x 10C
  • b)
    1.9 x 105 C
  • c)
    3.8 x 105 C
  • d)
    4.8 x 104 C
Correct answer is option 'B'. Can you explain this answer?

Krishna Iyer answered
  • He atom has 2 electrons.
  • So, 1 mole of He has 2*N(N is Avogadro's no.) electrons.
  • Then total -ve charge in 1 mole He gas is =  2 * N * charge of 1 electron
    = 2 * (6.022 * 1023) * (1.6 * 10-19) = 1.92 * 105

Can you explain the answer of this question below:
If mica and woolen cloth are rubbed together, then mica gets
  • A:
    positively charged
  • B:
    negatively charged
  • C:
    remains neutral
  • D:
    dual charged
The answer is a.

Mira Sharma answered
When Mika (quartz) and wooden cloth are rubbed together then Mika gets Positively charged. It's because of friction. Due to friction one gets Positively charged i.e Mika and other gets Negatively charged i.e Wooden cloth.

When a negatively charged conductor is connected to earth,
  • a)
    No charge flow occurs.
  • b)
    Protons flow from the conductor to the earth.
  • c)
    Electrons flow from the earth to the conductor.
  • d)
    Electrons flow from the conductor to the earth.
Correct answer is option 'D'. Can you explain this answer?

Riya Banerjee answered
Explanation:
When a negatively charged conductor is connected to the earth, electrons will flow from the conductor to the earth. This is because electrons have a negative charge and they will be repelled from the negatively charged conductor and attracted to the positively charged earth. As electrons flow from the conductor to the earth, the negative charge on the conductor will gradually decrease until it becomes neutral.
  • Option A is incorrect because charge flow does occur when a negatively charged conductor is connected to the earth.
  • Option B is incorrect because protons have a positive charge and they are not free to move in a conductor.
  • Option C is incorrect because electrons flow from the earth to the conductor, not the other way around.

Which of the following methods can be used to charge a metal sphere positively without touching it? Choose the best possible option:
  • a)
    Connect the positive terminal a battery and float the other end of the battery
  • b)
    Rub it with a piece of fur 
  • c)
    Bring a negatively charged rod near the sphere and touch it to ground for a short while
  • d)
    Rub it with a piece of silk 
Correct answer is option 'C'. Can you explain this answer?

Ritu Singh answered
This can be possible by induction, if a negative charge rod is placed near the sphere (at a distance not in touch) then it attracts positive charge inside the sphere towards its side and the negative charges collected on the other side and when the surface of the sphere connected to the earth than the negative charge goes to earth and the sphere remain positively charged.
Since rubbing the metal ball with fur and a piece of silk cloth involves touching, they can not be the correct answer. 
Therefore, the correct answer is C. 
Amrita Basak answered
When the point is on the diameter and away from the centre of hemisphere which is charged uniformly and positively, the component of electric field intensity parallel to the diameter cancel out. So the electric field is perpendicular to the diameter.

The total negative charge in 1 mol of helium (atomic number 2, atomic mass 4) is:
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?

Isha Rane answered
He atom has 2 electrons. so 1 mole of He has 2*N(N is Avohadro's no.) electrons. then total -ve charge in 1 mole He gas is 2*N*charge of 1 electron. calculating we will get about 1.9*10^5 C.

If 109electrons move out of a body to another body every second, how much time is approximately required to get a total charge of 1 C on the other body?
  • a)
    120 years
  • b)
    220 years
  • c)
    200 years
  • d)
    180 years
Correct answer is option 'C'. Can you explain this answer?

Naina Bansal answered
we know that 1 Coulomb = 6.242�10^18 eletrons

given 10^9 electrons take 1 secs

=> 10^9 electrons ------> 1 sec

=> 1 electrons ---------> 1/(10^9) secs

=> 6.242�10^18 ------> 6.242�10^18/ (10^9)

= 6.242�10^9 secs = 6.242�10^9/ (60*60*24*365)  years

=197.93 years

The total negative charge in 1 mol of helium (atomic number 2, atomic mass 4) is:
  • a)
  • b)
  • c)
  • d)
Correct answer is 'A'. Can you explain this answer?

Tejas Desai answered
He atom has 2 electrons. so 1 mole of He has 2*N(N is Avohadro's no.) electrons. then total -ve charge in 1 mole He gas is 2*N*charge of 1 electron. calculating we will get about 1.9*10^5 C.

If mica and woolen cloth are rubbed together, then mica gets
  • a)
    positively charged
  • b)
    negatively charged
  • c)
    remains neutral
  • d)
    dual charged
Correct answer is 'A'. Can you explain this answer?

Nisha Pillai answered
Woolen cloth has +ve charge and when mica is rubbed on it , mica gets +vely charged due to (conduction) - flow of charge from wool to mica

The charge on a glass rod that has been rubbed with silk is called positive:
  • a)
    so that the proton charge will be positive
  • b)
    because like charges repel
  • c)
    to conform to the conventions adopted for G and m in Newton’s law of gravitation
  • d)
    by arbitrary convention
Correct answer is 'D'. Can you explain this answer?

Aravind Mehra answered
When the point is on the diameter and away from the centre of hemisphere which is charged uniformly and positively, the component of electric field intensity parallel to the diameter cancel out. So the electric field is perpendicular to the diameter.

At any point on S on an electric field line 
  • a)
    the perpendicular to the line is in the direction of   at that point
  • b)
    the tangent to the line is in the direction of   at that point
  • c)
    the binormal to the line is in the direction of   at that point 
  • d)
    the curvature is in the direction of   at that point
Correct answer is option 'B'. Can you explain this answer?

Amar Shah answered
Explanation:
Electric field lines are an imaginary construct that represent the direction of the electric field at any given point in space. These lines are always drawn perpendicular to the surface of the charged object. At any point on an electric field line, the tangent to the line is in the direction of the electric field at that point.

Explanation in points:
• Electric field lines represent the direction of the electric field at any given point in space.
• These lines are always drawn perpendicular to the surface of the charged object.
• At any point on an electric field line, the tangent to the line is in the direction of the electric field at that point.
• The electric field is a vector quantity, and its direction is given by the tangent to the field line at that point.
• The electric field is always perpendicular to the equipotential surfaces.
• The electric field lines are closer together where the electric field is stronger and farther apart where the electric field is weaker.
• The curvature of the electric field lines indicates the strength of the electric field at that point.
• The electric field lines always point from a higher potential to a lower potential.
• The electric field lines never cross each other, as this would imply that the electric field has two different directions at the same point.
• The electric field lines always terminate on charges or infinity.
• The electric field lines always start from a positive charge and end at a negative charge.

Find the electric field inside the sphere which carries a charge density proportional to the distance from the origin
ρ = kr
  • a)
    ρ/ε0
  • b)
    ρr/ε0
  • c)
     ρr20
  • d)
    none of the above
Correct answer is option 'B'. Can you explain this answer?

Geetika Tiwari answered
We can start by using Gauss's Law to find the electric field. Gauss's Law states that the flux of the electric field through any closed surface is proportional to the charge enclosed by the surface. Mathematically, it can be written as:

∮E⋅dA = Qenc/ε0

where E is the electric field, dA is an infinitesimal area element on the surface, Qenc is the charge enclosed by the surface, and ε0 is the permittivity of free space.

In this case, we can choose a spherical Gaussian surface centered at the origin, with radius r. The charge enclosed by this surface is:

Qenc = ∫ρdV

where ρ is the charge density and dV is an infinitesimal volume element. Since the charge density is proportional to the distance from the origin, we can write:

ρ = k r

where k is a constant of proportionality. The integral becomes:

Qenc = ∫ρdV = k ∫r^2sinθdrdθdφ

where the limits of integration are 0 to r for r, 0 to π for θ, and 0 to 2π for φ. Evaluating the integral gives:

Qenc = (4/3)πk r^3

Now we can apply Gauss's Law to find the electric field. The flux of the electric field through the Gaussian surface is:

∮E⋅dA = E(4πr^2)

where we have used the fact that the surface area of a sphere is 4πr^2. Therefore, Gauss's Law gives us:

E(4πr^2) = (4/3)πk r^3/ε0

Solving for E, we get:

E = k r/3ε0

Therefore, the electric field inside the sphere is proportional to the distance from the origin, with a constant of proportionality k/3ε0.

A tennis ball which has been covered with charges is suspended by a thread so that it hangs between two metal plates. One plate is earthed, while other is attracted to a high voltage generator. The ball
  • a)
    hangs without moving
  • b)
    is attracted to the high voltage plate and stays there
  • c)
    swings backward & forward hitting each plate in turn
  • d)
    is repelled by earthed plate and stays there.
Correct answer is option 'C'. Can you explain this answer?

Understanding the Scenario
A tennis ball covered with charges is suspended between two metal plates, one of which is earthed and the other connected to a high voltage generator. The behavior of the ball depends on the electric fields created by the charged plates.
Electric Charges and Forces
- The earthed plate is at zero potential, meaning it can freely accept or donate charges.
- The high voltage plate has a significant positive or negative charge, creating a strong electric field.
Interaction of the Tennis Ball
1. Induced Charges: The presence of the high voltage plate influences the tennis ball. The charges on the ball will rearrange themselves due to the electric field.
2. Attraction and Repulsion:
- If the high voltage plate is positively charged, it attracts negative charges from the ball and repels positive charges, leading to a net attraction towards it.
- Conversely, the earthed plate, being neutral, will attract the positive charges on the ball and repel the negative charges, creating a repulsive effect.
Movement of the Ball
- As a result of these attractive and repulsive forces, the ball will experience a swinging motion.
- The ball will swing back and forth between the two plates, hitting each one in turn, as it is continuously attracted to the high voltage plate and repelled by the earthed plate.
Conclusion
Hence, the correct answer is option 'C': the ball swings back and forth, hitting each plate in turn due to the interplay of electric forces from the charged plates. This demonstrates the fascinating effects of electric fields on charged objects.

Electric field lines can be said to be 
  • a)
    lines of equal Electric field
  • b)
    drawing lines of electric fields 
  • c)
    lines of equal Electric voltage
  • d)
    graphical representation of electric fields.
Correct answer is option 'D'. Can you explain this answer?

Abhijeet Menon answered
Explanation:Electric Field Lines can be defined as a curve which shows direction of electric field, when we draw tangent at its point. The concept of electric field was proposed by Michael Faraday, in the 19th century. He always thought that electric field lines can be used to describe and interpret the invisible electric field. Instead of using complex vector diagram every time, This pictorial representation or form is called electric field lines.Electric field lines can be used to describe electric field around a system of charges in a better way.

Ionization of a neutral atom is the 
  • a)
    only gain of one or more electrons
  • b)
    only gain of one or more protons
  • c)
    gain or loss of one or more electrons
  • d)
    only gain of one or more neutrons
Correct answer is option 'C'. Can you explain this answer?

Ashwin Yadav answered
Explanation:It is not possible to remove or add protons to atom, but electron can be added or removed by an atom easily so charge can be developed on an atom by removing or adding electrons, by adding electrons it becomes negative charged ,by removing electrons it becomes positive charged. 

Which among the following is safest to take protection from when lightning is expected to happen ?
  • a)
    Taking shelter below longer trees
  • b)
    Taking shelter in a closed car
  • c)
    Taking shelter in open field
  • d)
    More than one of the above
Correct answer is option 'B'. Can you explain this answer?

  • Lightning is caused because of the build-up of electrostatic charges in the clouds.
  • The electrical conductors are carriers of electric charges and can be dangerous when used while Lightning.
  • A closed car nullifies the effect of lighting taking place outside. So, it is the best place to hide. But open cars are dangerous. 
  • Usually, lightning does not affect short trees, and long trees are affected more. Though short trees provide good protection from lightning. 
  • The electric pole is too dangerous during lightning. 
So, the correct option is Taking shelter in a car

If an object is positively charged, theoretically the mass of the object ______
  • a)
    Increases slightly by a factor of 9.11 x 10-31 kg
  • b)
    Decreases slightly by a factor of 9.11 x 10-31 kg
  • c)
    Remains the same
  • d)
    May increase or decrease
Correct answer is option 'B'. Can you explain this answer?

EduRev JEE answered
If an object is positively charged it loses some of its electrons. The mass of an electron is 9.11 x 10-31 kg. So, if a positively charged body loses ‘n’ number of electrons, it mass decrease by the amount n x 9.11E-31kg.

Quarks are entities that have
  • a)
    Fractional charges, combination of these are present in protons and neutrons
  • b)
    integer charges, combination of these are present in protons, electrons and neutrons
  • c)
    fractional charges, combination of these are present in protons and electrons
  • d)
    no charge, combination of these are present in protons and electrons
Correct answer is option 'A'. Can you explain this answer?

Vivek answered
There are two types of quarks present in protons and neutrons, up and down quarks with charges +⅔ and -⅓. In a proton, two up and one down quark are present whose charges add up to give a net charge of +1. In a neutron, one up and two down quarks are present whose charges add up to give a net charge of 0.

  • a)
  • b)
  • c)
  • d)
Correct answer is option 'D'. Can you explain this answer?

Let m be mass of each ball and q be charge on each ball. Force of repulsion,


In equilibrium
Tcosq = mg ...(i)
Tsinq = F ...(ii)
Divide (ii) by (i), we get,

From figure (a),



Divide (iv) by (iii), we get

A charge Q is situated at the corner of a cube, the electric flux passed through all the six faces of the cube is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?

Lead Academy answered

As at a corner, 8 cubes can be placed symmetrically, flux linked with each cube (due to a charge Q at the corner)
will be 
Now for the faces passing through the edge A, electric field E at a face will be parallel to area of face and so flux for these three faces will be zero. Now as the cube has six faces and flux linked with three faces (through A) is zero, so flux linked with remaining three faces will be 
Hence, electric flux passed through all the six faces of the cube is 

The charge on a glass rod that has been rubbed with silk is called positive:
  • a)
    so that the proton charge will be positive
  • b)
    because like charges repel
  • c)
    to conform to the conventions adopted for G and m in Newton’s law of gravitation
  • d)
    by arbitrary convention
Correct answer is option 'D'. Can you explain this answer?

Shubham Jain answered
When the point is on the diameter and away from the centre of hemisphere which is charged uniformly and positively, the component of electric field intensity parallel to the diameter cancel out. So the electric field is perpendicular to the diameter.

A semi-circular arc of radius ' a ' is charged uniformly and the charge per unit length is λ. The electric field at the centre of this arc is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?

Lead Academy answered
λ= linear charge density; Charge on elementary portion dx=λdx.

Electric field at 
Horizontal electric field, i.e., perpendicular to AO, will be cancelled. Hence, net electric field = addition of all electrical fields in direction of AO =ΣdEcosθ

The charges 2q, -q, -q are located at the vertices of an equilateral triangle. At the circumcentre of the triangle

  • a)
    the field is zero but potential is not zero.

  • b)
    the field is non-zero but the potential is zero.

  • c)
    both, field and potential are zero.

  • d)
    both. field and potential are non-zero.

Correct answer is option 'B'. Can you explain this answer?
?

Understanding the Problem
In this scenario, we have an equilateral triangle with charges placed at its vertices: 2q, -q, and -q. We need to analyze the electric field and electric potential at the circumcenter of the triangle.
Electric Field Analysis
- The electric field (E) due to a point charge is directed away from the charge if it is positive and towards the charge if it is negative.
- At the circumcenter, the contributions to the electric field from the charges can be calculated:
- The positive charge (2q) produces an electric field directed outward.
- Each negative charge (-q) produces an electric field directed inward towards itself.
- Due to symmetry, the electric fields from the two negative charges will cancel each other out in the horizontal direction, while the field from the positive charge adds to the net field.
- As a result, the net electric field at the circumcenter is non-zero.
Electric Potential Analysis
- The electric potential (V) due to a point charge is a scalar quantity and can be summed algebraically.
- The potential at the circumcenter is calculated as follows:
- V = (k * 2q/r) + (k * (-q)/r) + (k * (-q)/r), where r is the distance from the charges to the circumcenter.
- Simplifying this gives:
- V = (k/r) * (2q - q - q) = 0.
- Thus, the total electric potential at the circumcenter is zero due to the symmetry of the configuration.
Conclusion
Based on this analysis, we conclude that:
- The electric field at the circumcenter is non-zero.
- The electric potential at the circumcenter is zero.
Hence, the correct answer is option 'B': the field is non-zero but the potential is zero.

The total negative charge in 1 mol of helium (atomic number 2, atomic mass 4) is:
  • a)
  • b)
  • c)
  • d)
Correct answer is 'A'. Can you explain this answer ?

He atom has 2 electrons. so 1 mole of He has 2*N(N is Avohadro's no.) electrons. then total -ve charge in 1 mole He gas is 2*N*charge of 1 electron. calculating we will get about 1.9*10^5 C.

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