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Electrostatic MCQ (With Solution) Level - 1: Test 1 - Class 12 MCQ


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30 Questions MCQ Test - Electrostatic MCQ (With Solution) Level - 1: Test 1

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Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 1

Four charges equal to - Q are placed at the four corners of a square and a charge q is at its center. If the system is in equilibrium the value of q is

Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 2

Two identical conducting balls A and B have positive charges q1 and q2 respectively but . The balls are brought together so that they touch each other and then kept in their original positions. The force between them is

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 2

Original charges on spheres A and B be q1 and q2 respectively.
Distance between the two spheres = r
Since, both the spheres are of same size, they will possess equal charges on being brought in contact.

Therefore, new force of repulsion between spheres A and B is


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Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 3

Under the action of a given coulom bic forc e the acceleration of an electron is 2.5×1022 m/s2. Then the magnitude of the acceleration of a proton under the action of same force is nearly

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 3

Coulombic force on electron, Fe = aeme
Similarly, for proton Fp = apmp

Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 4

A conductor has been given a charge -3×10-7C by transferring electrons. Mass increase (in kg) of the conductor and the number of electrons added to the conductor are respectively. 

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 4

Number of electrons added to the conductor
n = q/e 

Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 5

What is the total charge in coulomb of 75.0 kg of electrons?

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 5

We know that m = 9.11×10-31 kg and M = 75.0 kg
So, 

Hence, total charge on the collections is q = -Ne
= -(8.23 × 1031 )(1.60 × 10-19 )
= 1.32 × 1013 C

Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 6

Under the influence of the coulomb field of charge +Q, a charge - q is moving around it in an elliptical orbit.Find out the correct statements(s).

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 6

The force always acts along the r, So torque will always be zero

Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 7

A charge Q is placed at each of the opposite cor n ers of a square. A charge q is placed at each of the other two corners. If the net electrical force on Q is zero, then the Q/q equals.

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 7

Three forces F41, F42and F43 acting on Q as shown resultant of F41 + F43

Resultant on Q becomes zero only when q charges are of negative nature.
⇒ 

Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 8

An object A has a charge of -2 µC and the object B has a charge of +6µC. Which statement is true?

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 8

Vector from of Coulomb's law states that FAB are equal and opposite.

Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 9

A charge of 1 µC is divided into two parts such that their charges are in the ratio of 2 : 3. These two charges are kept at a distance 1 m apart in vacuum. Then, the electric force between them (in N) is

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 9

Ratio of charges = 2 : 3

Electrostatic force between the two charges

Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 10

Two identical positive charges are fixed on the y-axis at equal distances from the origin O. A negatively charged particle starts on the x-axis, at a large distance from O, moves along the x-axis, passes through O and moves far away from O. Its acceleration A is taken as positive along its direction of motion. The best graph between the particle's acceleration and its x-coordinate is represented by

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 10

Let two identical positive charges (+q) are placed on both sides at a distance a from the origin O and a negative charge (-q') is placed at a large distance x from O

Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 11

Two identical metal spheres charged with +12µF and - 8µF are kept at certain distance in air. They are brought into contact and then kept at the same distance. The ratio of the magnitudes of electrostatic forces between them before and after contact is :

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 11



Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 12

The force of interaction between two charges q1 = 6µC and q2 = 2µC is 12 N. If charge q = -2µC is added to each of the charges, then the new force of interaction is

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 12

Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 13

In nature, the electric charge of any system is always equal to

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 13

If the charge of an electron is taken as elementary unit ie, quanta of charge, the charge on any body will be some integral multiple of e ie, q = n e with n = 1, 2, 3...

Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 14

A comb run through one's dry hair attracts small bits of paper. This is due to

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 14

When a comb runs through one's dry hair, then comb gets charged and when it comes close to paper, it induces opposite charges in paper. The field due to the charges in comb, polarises the atoms in the paper.
Finally it attracts the paper.

Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 15

A and B are two identical spherical charged bodies which repel each other with force F, kept at a finite distance. A third uncharged sphere of the same size is brought in contact with sphere B and removed. It is then kept at mid-point of A and B. Find the magnitude of force on C.

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 15

From Coulomb's law, the force of attraction between two charged particles (q), kept at distance r apart is


When two identical spheres are brought in contact, charge on them is equalised, hence total charge on C is equaly shared when brough in contact with spehere B having a charge q.

Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 16

Two equal charges as separated by a distnce d. A third charge placed on a perpendicular bisector at x distance from center will experience maximum coulomb force. when.

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 16



Taking the net force, we have



Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 17

Charges are placed at corners of a square of side a as shown in the following figure. The charge A is in equilibrium. The ratio 

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 17

The charge A experiences three forces F1, F2 and F3 as shown in figure.

Now, 
The resultant of F1 and F2 should be equal and opposite to F3 to keep the system in equilibrium.

Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 18

Consider a neutral conducting sphere. A positive point charge is placed outside the sphere. The net charge on the sphere is then

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 18

Charge will be induced in the conducting sphere, but net charge on it will be zero.

Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 19

A charge Q is divided in two parts q and Q - q. What is value of q for maximum force between them?

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 19

If r is the distance between q and (Q-  q), the Coulomb force between them is

For F to be maximum dF/dq = 0 and Q and r are constants.


Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 20

Two identical charges repel each other with a force equal to 10 mg wt when they are 0.6 m apart in air (g = 10 ms-2) The value of each charge is 

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 20

Coulomb force is given by


Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 21

Two unit negative charges are placed on a straight line. A positive charge q is placed exactly at the mid-point between these unit charges. If the system of these three charges is in equilibrium, the value of q (in C) is

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 21

For equilibrium, we have


Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 22

Two spherical conductors B and C having equal radii and carrying equal charges in them repel each other with a force F when kept apart at some distance. A third spherical conductor having same radius as that of B but uncharged, is brought in contact with B, then brought in contact with C and finally removed away from both. The new force of repulsion between B and C is

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 22

Let the spherical conductors B and C have same charge as q.
The electric force between them is

r, being the distance between them.
When third uncharged conductor A is brought in contact with B, then charge on each conductor

When this conductor A is now brough in  contact with C, then charge on each conductor.

Hence, electric force acting between B and C is

Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 23

Three charges 1µC, 1µC and 2µC are kept at vertices of A, B and C of an equilateral triangle ABC of 10 cm sie respectively, The resultant force of the charge at C is

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 23



Similarly, FBC =   

Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 24

Force between two identical charges placed at a distance of r in vacuum is F. Now a slab of dielectric of dielectric constant 4 is inserted between these two charges. If the thickness of the slab is r/2, then the force between the charges will become

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 24


Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 25

Identify the wrong statement in the following. Coulomb's law correctly described the electric force that

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 25

Coulomb's law is appliable for charged particles, it is not responsible to bind the protons and neutrons in the nucleus of an atom.

Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 26

If a conducting medium is placed between two charges, then the electric force between them will become 

Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 27

A charge q is placed at the centre of the line joining two equal point charges each equal to Q.The system of three charges will be in equilibrium if q is equal to

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 27

For equilibrium of system of charges, force produced between q and Q + force produced between Q and Q = 0

Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 28

An infinite number of charges, each of charge, 1µC, are placed on the x-axis with co-ordinates x = 1, 2, 4, 8, ... ∞. If a charge of 1c is kept at the origin, then what is the net force acting on 1 C charge?

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 28

From Coulomb's law, the force between two points charges q1,q2 separated by distance r is

The schematic diagram of distribution of charges on xaxis is shown.
The total force acting on 1 C charge is given by



Using the fact that sum of GP series is
 where a is first term of series and r thecommon ratio.

Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 29

Two charges of equal magnitudes and at a distance r exert a force F on each other. If the cahrges are halved and distance between them is doubled, then the new force acting on each charge is

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 29

From Coulomb's law the force between two points charges q1 and q2, separated by a distance r is given by

Since, 

In second case when


Divided Eq. (ii) by Eq. (i), we have

Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 30

When a body is earth connected, electrons from the earth flow into the body. This means the body is

Detailed Solution for Electrostatic MCQ (With Solution) Level - 1: Test 1 - Question 30

Since, the body is connected to earch and the electrons from the earth flow to the body so, it loses its positive charge. Hence, it implies that previously it was positively charged.

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