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Progressive Test — Guest First Round

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Class 12 Physics: Electric Charges and Fields Online Test

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1. A component form for electrostatic force in one dimension gives . This means the force on has

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2. Match the introductory electrostatics terms with their most suitable meanings.

Term Meaning
P. Electric charge 1. Property linked with electrostatic attraction and repulsion
Q. Coulomb 2. SI unit of electric charge
R. Like charges 3. Charges that repel each other
S. Unlike charges 4. Charges that attract each other

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3. A diagram for two equal unlike charges shows many lines going from the positive charge to the negative charge. At the midpoint between the charges, the electric field is directed

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4. For an infinitely long line charge of density , the electric field magnitude at distance is

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5. Consider the following statements about electric charge.
I. Electric charge can be positive or negative.
II. The sign of charge gives a fixed spatial direction.
III. A neutral body has zero net charge.
IV. Like charges repel each other.
The supported set is

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6. Read the case below.

A small positive charge is placed at a point where two fields act simultaneously. One field is toward east, and the other is toward north. The charge magnitude is .

The magnitude of the net electric force on the charge is

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7. A negatively charged rod is brought near the cap of a neutral electroscope without touching it. The leaves diverge during the approach, but the electroscope is not earthed. This observation is best explained by

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8. At a far equatorial point of a dipole, where , the electric field magnitude is approximately

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9. A charged rod is brought near two identical neutral spheres, one made of aluminium and the other made of plastic. The aluminium sphere shows stronger internal charge redistribution. The main reason is that aluminium

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10. A neutral conducting sphere is charged by induction using a positively charged rod. The rod never touches the sphere. After the proper earthing sequence, the sphere becomes

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11. The final sign of a conductor charged by induction is opposite to the sign of the inducing body because the conductor

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12. Two point charges experience a force in vacuum. A dielectric of constant is introduced, and at the same time the separation is reduced to half of its original value. The new force is

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13. Match each charge density with its defining expression.

Density Expression
P. Linear charge density 1.
Q. Surface charge density 2.
R. Volume charge density 3.

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14. For a point charge , the magnitude of electric field at a distance in vacuum is

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15. The pair that contains one scalar and one vector from basic electrostatics is

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16. Study the constant-symbol table and identify the mismatched row.

Row Symbol Meaning Approximate value or relation
P Coulomb constant
Q Vacuum permittivity
R Elementary charge magnitude
S Linear charge density

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17. Near a positively charged conductor surface, the electric field just outside is directed

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18. Study the sequence for charging a metal sphere by induction using a positively charged rod.

Step Action
P Bring the positively charged rod near the neutral sphere without touching it.
Q Connect the sphere to earth while the rod remains near.
R Remove the positively charged rod while the earth connection is still present.
S Remove the earth connection after the rod has gone.

This sequence is unsuitable for leaving the sphere negatively charged mainly because

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19. A plane surface is in a field . Its area vector is . The electric flux through the surface is

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20. Study the field-line descriptions and identify the one that is not acceptable for an electrostatic field.

Row Description
P Lines are closer where the field is stronger.
Q The tangent to a line gives the direction of .
R Two field lines cross where the field is very strong.
S Lines start from positive charge and end on negative charge.

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21. A small sphere marked is brought near another small sphere marked . The interaction between them is expected to be

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22. Two point charges and are separated by in vacuum. The charges are changed to and , the separation is changed to , and a dielectric of constant is inserted. If the original force magnitude was , the new force magnitude is

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23. The electric dipole consists of

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24. A positively charged rod is brought near a neutral conducting sphere. The sphere is connected to earth and then isolated while the rod is still present. After the rod is removed, the charge spreads over the sphere because

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25. The SI unit of electric flux is

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26. A pair production event creates an electron of charge and a positron of charge . The total charge produced in this pair is

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27. During rubbing, two initially neutral bodies acquire charges and . This result is a direct sign that

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28. Two identical conducting spheres are isolated from surroundings. Sphere P has charge , and sphere Q is neutral. They touch and are then separated. The charge on each sphere after separation is

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29. In a one-dimensional setup, is at , and is at . Take . The force on due to is

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30. Study the table for medium effects in Coulomb force and identify the row that needs correction.

Row Quantity or relation Meaning written
P Dielectric constant or relative permittivity
Q Permittivity of a medium
R Force reduced in a dielectric medium
S Coulomb constant with unit

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31. A neutral object is made by combining two charged parts. One part has charge . The charge on the other part must be

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32. A neutral metal sphere is placed near a positively charged rod without touching it. The side of the sphere nearest the rod becomes relatively negative because

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33. The statement represents the quantisation of electric charge, where must be

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34. Electric charge in electrostatics is mainly introduced as the physical property responsible for

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35. A positive charge is placed in a uniform electric field of magnitude . If its mass is , the acceleration magnitude is

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36. A closed surface encloses a dipole made of charges and . The charges are both inside the surface. The net electric flux through the closed surface is

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37. A body has charge . It then gains electrons. Taking , the final charge on the body is

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38. A point charge produces an electric field at a point away in vacuum. Take . The field magnitude is

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39. A student records four basic electrostatic symbols as follows.

Symbol Meaning written in the record
P. Electric charge
Q. Electric field
R. Electrostatic force
S. Area of a surface

The entry that needs correction is

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40. A dipole is shown with at Point L and at Point R. The dipole moment direction is

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41. A calculation uses . This is equivalent to using

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42. Two very large parallel sheets carry equal and opposite surface charge densities and . In the region between the sheets, the electric fields due to the sheets

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43. A copper rod and a rubber rod are each held at one end. When excess charge is placed near the held end, it spreads much more easily through the copper rod. This is mainly because copper

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44. Study the Gauss-law table and identify the row that is incorrect.

Row Situation Net flux through closed surface
P Encloses
Q Encloses
R Encloses and
S Encloses no charge but has outside charges nearby

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45. A dipole has moment . At a far axial point, a student writes because Coulomb’s law has an inverse-square form. The correction is that the far dipole field varies as

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46. A neutral object is placed near a charged comb and is attracted toward it. The attraction alone proves that

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47. For two fixed charges, the graph of versus is best described as

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48. Two electrons repel each other electrostatically and attract each other gravitationally. The reason these two forces have opposite nature for the same pair is that

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49. The electric field of an ideal infinite uniformly charged plane sheet is independent of distance from the sheet because

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50. For a dipole in a uniform electric field, the potential energy is minimum when the angle between and is

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