Electrostatics Test

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Electrostatics Test - 4

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Question 1
1 / -0

Conservation of charges in tribo electric charging

A
implies half are positively charged and other half are neutral

B
implies both are negatively charged

C
implies one is positively charged and the other is negatively charged.

D
implies both are positively charged

Solution

The triboelectric effect (also known as triboelectric charging) is a type of contact electrification in which certain materials become electrically charged after they come into frictional contact with a different material. Rubbing glass with fur, or a plastic comb through the hair, can build up triboelectricity.

When we charge something with static electricity, no electrons are made or destroyed. No new protons appear or disappear. Electrons are just moved from one place to another. The net, or total, electric charge stays the same. This is called the principle of conservation of charge.

If a glass rod is rubbed with silk, some electrons moves from glass rod to silk no new charge is generated or destroyed.
Question 2
1 / -0

Four metal plates numbered 1, 2, 3 and 4 are arranged as shown in the figure. The area of each plate is A and the separation between adjacent plates is d. The capacitance of the arrangement is

A

B

C

D
Question 3
1 / -0

Two positive point charges of 12 and 8 microcoulombs are placed 10 cm apart in air. The work done to bring them 4 cm closer is

A
zero

B
3.8 J

C
4.8 J

D
5.8 J
Question 4
1 / -0

The effective capacitance of two capacitors of capacitances C₁ and C₂ (with C₂ > C₁) connected in parallel is times the effective capacitance when they are connected in series. The ratio of C₂andC₁ is

A

B

C

D
Question 5
1 / -0

A parallel plate capacitor of plate area A and plate separation d is charged by a battery of voltage V. The work needed to pull the plates to a separation 2d, when the battery is disconnected, is

A

B

C

D
Question 6
1 / -0

If 10⁹ electrons 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
200 years

B
120 years

C
180 years

D
220 years

Solution
Question 7
1 / -0

The force of attraction between the plates of an air-filled parallel plate capacitor having charge Q and area of each plate A is given by

A

B

C

D
Question 8
1 / -0

Which of the following methods can be used to charge a metal sphere positively without touching it . Select the best

A
Rub it with a piece of silk

B
Connect the positive terminal a battery and float the other end of the battery

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 fur

Solution

This can be possible by induction, if a negative charge rod is placed near the sphere (at a distance not in touch) than it attracts positive charge inside the sphere towards its side and the negative charges collected on other side and when the surface of sphere connected to earth than the negative charge goes to earth and the sphere remain positively charged.
Question 9
1 / -0

Which of the following statements is true for the circuit shown in the figure?

A
With S₁ closed, V₁ = 15 V and V₂ = 20 V.

B
With S₁ and S₃ closed, V₁ = 30 V and V₂ = 20 V.

C
With S₁ and S₂ closed, V₁ = V₂ = 0.

D
With S₃closed, V₁ = V₂ = 25 V.
Question 10
1 / -0

The potential difference between points A and B in the given circuit is

A
6 V

B
2 V

C
10 V

D
14 V
Question 11
1 / -0

A parallel plate capacitor of capacitance 100 pF is to be constructed by using paper sheets of 1.0 mm thickness as dielectric. If the dielectric constant of paper is 4.0, the number of circular metal foils of diameter 2.0 cm each required for this purpose is

A
10

B
20

C
30

D
40
Question 12
1 / -0

In a hydrogen atom, the electron and the proton are bound together at a separation of about 0.53 . If the zero of potential energy is taken for an infinite separation of the electron from the proton, then the potential energy of the electron-proton system is

A
–54.4 eV

B
–27.2 eV

C
–13.6 eV

D
Zero
Question 13
1 / -0

Four capacitors, each of capacitance 50 F, are connected as shown in the figure. If the voltmeter reads 100 V, the charge on each capacitor is

A
2 10^–3 C

B
5 10^–3 C

C
0.2 C

D
0.5 C
Question 14
1 / -0

Three capacitors, each of capacitance C = 3 , are connected as shown in the figure. The equivalent capacitance between points P and S is

A

B

C

D
Question 15
1 / -0

Electric charges are of

A
5 types

B
3 types

C
2 types

D
4 types
Solution
Two types
- Positivecharge—deficiency of electrons i.e. if a body loses electrons it will be positive charged.
- Negative charge—excess of electrons i.e. if a body gains electrons it will be negative charged.
Question 16
1 / -0

n identical capacitors are joined in parallel and the combination is charged to voltage V. The total energy stored is U. The capacitors are now disconnected and joined in series. The total energy stored in the series combination will be

A

B
U

C
nU

D
n²U
Question 17
1 / -0

What is the equivalent capacitance between A and D in the figure given below?

A
200 pF

B
100 pF

C

D
50 pF
Question 18
1 / -0

A cube of side b has a charge q at each of its vertices. What is the electric potential at the centre of the cube?

A

B

C

D
Zero
Question 19
1 / -0

A soap bubble of radius r is charged to a potential V. If the radius is increased to nr, the potential of the bubble will become

A
nV

B
n²V

C

D
Question 20
1 / -0

Electric charge

A
is a property of neutrons only

B
is a property of electrons only

C
is a property of protons only

D
is a property of particles such as atoms, ions, electrons etc

Solution

Every matter is made up of atoms which contains protons, electrons and neutrons.
Protons are +ve charged particles and electrons are - ve charged particles.
Because of electric charge these particles experience a force in electrical fields.