This page contains an updated set of objective questions (second part) on the chapter '

*Electric Field and Potential*', a major portion of electrostatics. Before going to attempt these problems, we recommend you to first solve Electric Field and Potential : JEE Level Objective Questions (Set 01).**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.###
__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.

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2. A point charge 'Q' is to be divided in two parts 'q' and 'Q-q'. To have the maximum electrostatic repulsion between the two parts (when they are placed at certain distance from each other), 'Q' and 'q' must hold the relation:

3. Two point charges repel each other with a force of 100 N. If one of the charges is increased by 10% and the other is decreased by 10%, the new electrostatic force of repulsion at the same separation would be

4. Strength of electric field near a straight wire carrying a steady current is

5. What is the maximum charge a metallic ball of 2 mm diameter can hold? Given, dielectric strength of air = 3 × 10⁶ V/m.

6. An electron is having some initial velocity in a direction different from that of a uniform electric field. The trajectory of electron would be

7. A point charge q₁ is moved along a circle of radius R in the electric field of another point charge q₂ at the centre of the circle. Work done by the electric field on the charge q₁ in half revolution is

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8. An electron is set free from rest in a region of space where nonzero electric field exists. Identify the correct statement:

10. Three point charges -q, -q and 2q are kept fixed at the vertices of an equilateral triangle. At the centroid of the triangle,

12. Two identical rings A and B of diameter 0.2 m are mounted coaxially at a distance 0.5 m apart. The charges on the two rings are 2Î¼C and 4Î¼C respectively. What would be the work done in transferring a charge of 5Î¼C from the centre of A to that of B?

13. A conducting charged sphere has surface density of charge Ïƒ. The electric field strength on its surface is E. Keeping Ïƒ unchanged, if the radius of the sphere is doubled, what will be the electric field strength on the new sphere?

14. In the previous problem, if V is the potential of the first sphere, then potential of the second spere will be

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15. Which of the following quantities is discontinuous across a charged conducting surface?

16. Two charged particles have charges 1 Î¼C and -1 Î¼C and mass 50 g each are held at rest at a separation of 2 m. Now the charges are set free. The speed of the particles when their separation is 1 m is

17. When two charges are moved away from each other, the electrostatic potential energy of the charges

18. The potential decreases uniformly from 120 V to 80 V as one moves along x-axis from x = -1 cm to x = +1 cm. The electric field intensity at the origin

20. A solid metallic sphere of diameter 20 cm is enclosed by a thin metallic shell of diameter 40 cm. A charge of 20 Î¼C is provided to the inner sphere. What will be the heat generated in the process when the inner sphere is connected to the outer shell by a conducting wire?

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1. Two neutrons are kept at some distance from each other. They will

2. A point charge 'Q' is to be divided in two parts 'q' and 'Q-q'. To have the maximum electrostatic repulsion between the two parts (when they are placed at certain distance from each other), 'Q' and 'q' must hold the relation:

3. Two point charges repel each other with a force of 100 N. If one of the charges is increased by 10% and the other is decreased by 10%, the new electrostatic force of repulsion at the same separation would be

4. Strength of electric field near a straight wire carrying a steady current is

5. What is the maximum charge a metallic ball of 2 mm diameter can hold? Given, dielectric strength of air = 3 × 10⁶ V/m.

6. An electron is having some initial velocity in a direction different from that of a uniform electric field. The trajectory of electron would be

7. A point charge q₁ is moved along a circle of radius R in the electric field of another point charge q₂ at the centre of the circle. Work done by the electric field on the charge q₁ in half revolution is

8. An electron is set free from rest in a region of space where nonzero electric field exists. Identify the correct statement:

9. A hollow metallic sphere of diameter 10 cm is charged such that the electric potential on its surface is 10 V. The electric potential at the centre of the sphere is

10. Three point charges -q, -q and 2q are kept fixed at the vertices of an equilateral triangle. At the centroid of the triangle,

11. At a point inside a hollow charged spherical conductor, the electric potential is

12. Two identical rings A and B of diameter 0.2 m are mounted coaxially at a distance 0.5 m apart. The charges on the two rings are 2Î¼C and 4Î¼C respectively. What would be the work done in transferring a charge of 5Î¼C from the centre of A to that of B?

13. A conducting charged sphere has surface density of charge Ïƒ. The electric field strength on its surface is E. Keeping Ïƒ unchanged, if the radius of the sphere is doubled, what will be the electric field strength on the new sphere?

14. In the previous problem, if V is the potential of the first sphere, then potential of the second spere will be

15. Which of the following quantities is discontinuous across a charged conducting surface?

16. Two charged particles have charges 1 Î¼C and -1 Î¼C and mass 50 g each are held at rest at a separation of 2 m. Now the charges are set free. The speed of the particles when their separation is 1 m is

17. When two charges are moved away from each other, the electrostatic potential energy of the charges

18. The potential decreases uniformly from 120 V to 80 V as one moves along x-axis from x = -1 cm to x = +1 cm. The electric field intensity at the origin

19. The field intensity in a certain region is given by E = k/x³. The potential at a point P(x,y,z), assuming the potential at infinity as zero, is

20. A solid metallic sphere of diameter 20 cm is enclosed by a thin metallic shell of diameter 40 cm. A charge of 20 Î¼C is provided to the inner sphere. What will be the heat generated in the process when the inner sphere is connected to the outer shell by a conducting wire?

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Problems in JEE Physics