This page contains an updated set of objective problems on the chapter '

*Electric Field and Potential*'.

**All the questions provided below strictly follow the current syllabus of JEE Mains & Advanced.**The carefully selected problems are arranged in a proper order according to the correct flow of topics in the syllabus.

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__Single Option Correct Type Questions__

__Single Option Correct Type Questions__

Out of the four different choices following each question, only one is the correct (or the most correct) which you have to mark.

2. Two point charges +9e and +e are placed 16 cm apart from each other. Where should a third charge q be positioned between them so that the system is in electrostatic equilibrium state?

4. Five positive equal charges are kept at vertices of a regular hexagon and resultant electric field at the centre is E. A negative charge having equal magnitude is kept at the sixth vertex and then the net electric field is E'. What is the value of E'/E?

5. A non-conducting ring of radius R contains uniformly distributed charge +Q. A tiny part of the ring, of length d, is removed (d << R). The net electric field at the centre of the ring will now be

6. Two equal negative charges -q are kept fixed at points (0, -a) and (0, a) on y-axis. A positive charge +Q is then released from rest at the point (2a, 0) on the x-axis. The point charge +Q will:

7. Two infinite linear charges are kept parallel to each other at a separation 0.1 m from each other. If the linear charge density on each is equal to 5 Î¼C/m, then force acting on a unit length of each linear charge is

8. A point charge +50 Î¼C is fixed in the xy plane at the point of position vector

10. A particle of mass m and charge q is kept in a sinusoidally varying electric field E' = EsinÏ‰t. It will undergo a simple harmonic motion of amplitude

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12. Six point charges are arranged at the corners of a regular hexagon as shown in the below given figure.

13. A charged particle having some mass rests in equilibrium at a height h above the centre of a uniformly charged nonconducting horizontal ring of radius R. The force of gravity acts vertically downwards. The equilibrium of the particle will be stable :

14. An electron of mass m₁, initially at rest, covers a certain distance in a uniform electric field in time t₁. A proton of mass m₂, also, takes time t₂ to move through an equal distance (starting from rest) in this uniform electric field. Neglecting the effect of gravity, the ratio t₂/t₁ nearly equals

15. An alpha particle having energy 5 MeV is scattered through 180° by a fixed uranium nucleus. The distance of closest approach will be of the order

16. Two point charges q₁ and q₂ are located 3 m apart, and their sum of charges is 10 Î¼C. If force of attraction between them is found to be 0.075 N then the values of q₁ and q₂ respectively, are :

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17. Two positive and identical point charges are fixed at a certain distance. A third small charge is placed in between the two charges and it experiences zero resultant force due to the rest two.

18. Two particles of masses in the ratio 1 : 2 and with charges in the ratio 1 : 1 are placed at rest in a uniform electrostatic field. They are set free and allowed to move for the same time. The ratio of their kinetic energies would be finally

20. A point charge q is moved along a circle of radius r in the electric field of another point charge q' at the centre of the circular path. The work done by the electric field on the charge q in a half revolution will be

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1. Taking mass (M), length (L), time (T) and current (I) as fundamental quantities, the dimensional formula of permittivity is :

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2. Two point charges +9e and +e are placed 16 cm apart from each other. Where should a third charge q be positioned between them so that the system is in electrostatic equilibrium state?

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4. Five positive equal charges are kept at vertices of a regular hexagon and resultant electric field at the centre is E. A negative charge having equal magnitude is kept at the sixth vertex and then the net electric field is E'. What is the value of E'/E?

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5. A non-conducting ring of radius R contains uniformly distributed charge +Q. A tiny part of the ring, of length d, is removed (d << R). The net electric field at the centre of the ring will now be

**View Solution**

6. Two equal negative charges -q are kept fixed at points (0, -a) and (0, a) on y-axis. A positive charge +Q is then released from rest at the point (2a, 0) on the x-axis. The point charge +Q will:

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7. Two infinite linear charges are kept parallel to each other at a separation 0.1 m from each other. If the linear charge density on each is equal to 5 Î¼C/m, then force acting on a unit length of each linear charge is

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8. A point charge +50 Î¼C is fixed in the xy plane at the point of position vector

**rᤱ**= (2

**i**+ 3

**j**). What is the intensity of electric field at the point of position vector

**r**= (8

**i**- 5

**j**) m?

9. Four point charges are arranged at the corners of a square ABCD, as shown in the figure.

The force experienced by a positive charge located at the centre of the square is :

10. A particle of mass m and charge q is kept in a sinusoidally varying electric field E' = EsinÏ‰t. It will undergo a simple harmonic motion of amplitude

11. A charged particle of mass m and charge q is released from rest in a uniform electric field E. Neglecting the effect of gravity the kinetic energy attained by the particle after time 't' seconds is :

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12. Six point charges are arranged at the corners of a regular hexagon as shown in the below given figure.

If an electron is placed at the centre of the hexagon (point O), force on it will be

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13. A charged particle having some mass rests in equilibrium at a height h above the centre of a uniformly charged nonconducting horizontal ring of radius R. The force of gravity acts vertically downwards. The equilibrium of the particle will be stable :

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14. An electron of mass m₁, initially at rest, covers a certain distance in a uniform electric field in time t₁. A proton of mass m₂, also, takes time t₂ to move through an equal distance (starting from rest) in this uniform electric field. Neglecting the effect of gravity, the ratio t₂/t₁ nearly equals

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15. An alpha particle having energy 5 MeV is scattered through 180° by a fixed uranium nucleus. The distance of closest approach will be of the order

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16. Two point charges q₁ and q₂ are located 3 m apart, and their sum of charges is 10 Î¼C. If force of attraction between them is found to be 0.075 N then the values of q₁ and q₂ respectively, are :

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17. Two positive and identical point charges are fixed at a certain distance. A third small charge is placed in between the two charges and it experiences zero resultant force due to the rest two.

18. Two particles of masses in the ratio 1 : 2 and with charges in the ratio 1 : 1 are placed at rest in a uniform electrostatic field. They are set free and allowed to move for the same time. The ratio of their kinetic energies would be finally

19. Three identical point charges each +q are fixed at the vertices of an equilateral triangle of side a. The Coulomb forced experienced by one of the charges due to the rest two is

20. A point charge q is moved along a circle of radius r in the electric field of another point charge q' at the centre of the circular path. The work done by the electric field on the charge q in a half revolution will be

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Problems in JEE Physics