1. A capacitor is charged by using a battery which is then disconnected. A dielectric slab then slipped between the plates, which results in ?

decrease in the potential difference across the plates, reduction in the stored energy, but no change in the charge on the plates.

increase in the potential difference across the plate, reduction in stored energy, but no change in the charge on the plates.

reduction of charge on the plates and increase of potential difference across the plates.

none of these

Answer: decrease in the potential difference across the plates, reduction in the stored energy, but no change in the charge on the plates.

Explanation:


2. A parallel plate air capacitor is charged to a potential difference of V volts. After disconnecting the charging battery the distance between the plates of the capacitor is increased using an insulating handle. As a result the potential difference between the plates ?

becomes zero

does not change

increases

decreases

Answer: increases

Explanation:

When battery is disconnected and the distance between the plates of the capacitor is increased then capacitance increases and charge remains constant. ? Potential difference increases.


3. To obtain 3 microFarad capacity from three capacitors of 2 microFarad each, they will be arranged. ?

all the three in parallel

two capacitors in parallel and the third in series with the combination of first two

all the three in series

two capacitors in series and the third in parallel with the combination of first two

Answer: two capacitors in series and the third in parallel with the combination of first two

Explanation:

Adding two in series and third in parallel with both creates a capacitance of 2/2 microFarad + 2 microFarad = 3 microFarad


4. A conductor carries a certain charge. When it is connected to another uncharged conductor of finite capacity, then the energy of the combined system is ?

equal to that of the first conductor

uncertain

more than that of the first conductor

less than that of the first conductor

Answer: less than that of the first conductor

Explanation:

When it is connected to another uncharged conductor of finite capacity, then the energy of the combined system is. Energy will be lost during transfer of charge (heating effect).


5. The electric potential inside a conducting sphere ?

is zero at every point inside

remains constant from centre to surface

decreases from centre to surface

increases from centre to surface

Answer: remains constant from centre to surface

Explanation:

Electric potential inside a conductor is constant and it is equal to that on the surface of conductor.


6. Equipotentials at a great distance from a collection of charges whose total sum is not zero are approximately ?

ellipsoids

paraboloids

spheres

planes

Answer: spheres

Explanation:

The collection of charges at great distance is considered as a single point charge. The equipotential surfaces due to a point charge are spherical.


7. A hollow metal sphere of radius 5 cm is charged so that the potential on its surface is 10 V. The potential at the centre of the sphere is ?

Same as at point 25 cm away from the surface

0 V

Same as at point 5 cm away from the surface

10 V

Answer: 10 V

Explanation:

Since potential inside the hollow sphere is same as that on the surface.


8. If a unit positive charge is taken from one point to another over an equipotential surface, then ?

no work is done

work done is constant

work is done by the charge

work is done on the charge

Answer: no work is done

Explanation:

Since the potential at each point of an equipotential surface is the same, the potential does not change while we move a unit positive charge from one point to another. Therefore work done in the process is zero.


9. A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10 V. The potential at a distance of 2 cm from the centre of the sphere is ?

zero

10/3 V

10 V

4 V

Answer: 10 V

Explanation:

Potential in constant inside thin shell potential at surface = potential at centre =10V.


10. A cube of a metal is given a positive charge for this system, which of the following statements is true ?

Electric field varies within the cube

Electric field is normal to the surface of the cube

Electric potential within the cube is zero

Electric potential at the surface of the cube is zero

Answer: Electric field is normal to the surface of the cube

Explanation:

As the metal cube is a conductor so filed inside the conductor is zero and potential within or on the surface of it is constant. The gradient of a scalar function is always perpendicular surface.