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Progressive Test — Guest First Round

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Class 12 Physics: Electric Charges and Fields Online Test

Welcome to the Progressive Test.

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1 / 50

1. A neutral metal sphere is placed near a positively charged rod without touching it. What happens inside the sphere?

2 / 50

2. A point charge is fixed in vacuum. A charge is placed away from it. What is the force on the charge using the electric-field method? Take .

3 / 50

3. Why should the test charge used to define electric field be very small?

4 / 50

4. Use the arrangement described below.

Two equal and opposite charges and are placed at and , respectively. Point P is on the perpendicular bisector above the midpoint.

What is the direction of the net electric field at P?

5 / 50

5. Two charges and are fixed apart. At what distance from the charge, between the charges, is the net electric field zero?

6 / 50

6. A spherical shell of radius carries charge . What is the electric field magnitude at a point from its centre?

7 / 50

7. The approximate value of , the permittivity of free space, is:

8 / 50

8. A neutral body loses electrons. What is the charge left on the body?

9 / 50

9. Assertion: Electric field is a vector quantity.
Reason: Electric field is defined as force per unit positive test charge, and force is a vector.

10 / 50

10. Which Gaussian surface is most suitable for finding the field due to an isolated point charge?

11 / 50

11. Two equal perpendicular electrostatic forces act on a charge: one along and the other along . If each force has magnitude , what is the magnitude of the net force?

12 / 50

12. A diagram shows electric field lines leaving one object and ending on another object. What can be inferred about the signs of the two objects?

13 / 50

13. A uniformly charged thin spherical shell has surface charge density and radius . What is its total charge?

14 / 50

14. A graph is plotted between torque magnitude and for a fixed dipole in a fixed uniform electric field. What is the slope of the graph?

15 / 50

15. A spherical Gaussian surface is chosen for a point charge not located at the centre of the sphere. What remains true?

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16. What is the electric field inside a uniformly charged thin spherical shell?

17 / 50

17. Use the arrangement described below.

On the -axis, a charge is fixed at , and a charge is fixed at .

What is the direction of the electric dipole moment?

18 / 50

18. Which expression correctly states Gauss's law?

19 / 50

19. Assertion: The net charge of an electric dipole is zero.
Reason: An electric dipole consists of two equal and opposite charges.

20 / 50

20. What is the work done by an external agent in slowly rotating a dipole from to in a uniform electric field?

21 / 50

21. A uniform electric field passes through a square open surface of area . The chosen area vector is . What is the flux?

22 / 50

22. Which sequence correctly describes charging a neutral metal sphere positively by induction using a negatively charged rod?

23 / 50

23. Which row correctly compares fields due to idealized charge distributions?

Row Distribution Field dependence on distance
P Point charge
Q Infinite line charge
R Infinite plane sheet
S Infinite plane sheet

Which rows are correct?

24 / 50

24. Which graph description correctly represents versus for a uniformly charged solid sphere of radius ?

25 / 50

25. Use the arrangement described below.

Three points lie on the -axis. Point P is at , point Q is at , and point R is at . A charge is placed at P and a charge is placed at R.

What is the direction of the force on the charge at P due to the charge at R?

26 / 50

26. Which row correctly describes torque and potential energy for a dipole in a uniform electric field?

Row Angle Torque Potential energy
P
Q
R
S

27 / 50

27. Study the table and identify the row with the incorrect description.

Row Quantity or symbol Description
P Electric charge Scalar quantity with sign
Q and Two kinds of charge
R SI unit of electric charge
S Sign of charge Direction of charge as a vector

28 / 50

28. Which statement best explains why electrostatic field lines do not form closed loops?

29 / 50

29. Which graph description is correct for a uniformly charged thin spherical shell?

30 / 50

30. Which Gaussian surface is usually chosen for an infinitely long uniformly charged straight wire?

31 / 50

31. Which SI unit is equivalent to the unit of electric field?

32 / 50

32. Which row correctly identifies the source from the change in field when distance is doubled?

Row Change when becomes Likely source
P becomes Point charge
Q becomes Infinite line charge
R remains Infinite plane sheet
S becomes Far dipole

33 / 50

33. Two point charges and in vacuum are separated by . Their force magnitude is . Which row gives a correct changed condition and force?

Row Changed condition New force
P doubled, unchanged
Q and doubled, unchanged
R doubled, charges unchanged
S halved, charges unchanged

34 / 50

34. Study the table and identify the row with the correct description.

Row Dipole quantity Description
P Net charge of dipole
Q Dipole moment magnitude
R Direction of From to
S Unit of

35 / 50

35. A dipole has potential energy in a uniform electric field. If it rotates from to , what is the change in potential energy?

36 / 50

36. Complete the statement correctly: In electrostatics, like charges ______ and unlike charges ______.

37 / 50

37. Which option gives the correct SI unit of the Coulomb constant ?

38 / 50

38. Which statement correctly compares a charged conductor and a uniformly charged insulating solid sphere?

39 / 50

39. Two fixed charges are placed at and . A third charge is placed at the origin. What is the net force on ?

40 / 50

40. A uniformly charged solid sphere has radius . At , the field is . At , the field is . What is ?

41 / 50

41. A uniformly charged solid sphere and a uniformly charged thin spherical shell have the same total charge and radius . Which comparison is correct at ?

42 / 50

42. Use the field-line description below.

Several electric field lines are drawn from left to right. In region P, the lines are close together. In region Q, the lines are farther apart. The lines do not cross.

Which statement is correct?

43 / 50

43. Which Gaussian surface is suitable for finding the field of a uniformly charged thin spherical shell?

44 / 50

44. A point charge is at the centre of a spherical Gaussian surface. If the radius of the surface is doubled, which quantity remains unchanged and which quantity becomes one-fourth?

45 / 50

45. A particle of charge is placed in an electric field . What is the force on it?

46 / 50

46. In an electric dipole, the electric dipole moment is directed:

47 / 50

47. Two charges and are separated by in vacuum. What is the magnitude of the force between them? Take .

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48. Which row correctly compares a uniformly charged thin spherical shell and a uniformly charged solid sphere?

Row Distribution Inside field for
P Thin spherical shell
Q Uniform solid sphere
R Thin spherical shell
S Uniform solid sphere

Which rows are correct?

49 / 50

49. A uniform electric field is parallel to a plane surface. What is the electric flux through that surface?

50 / 50

50. A small dipole is aligned with a non-uniform electric field whose magnitude increases in the direction of . What is the qualitative direction of the net force on the dipole?

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