Chapter-1 ELECTROSTATIC POTENTIAL AND CAPACITANCE (Sample Test-1)

Welcome to your Chapter-2 ELECTROSTATIC POTENTIAL AND CAPACITANCE (Sample Test-1)

1. 
The electrostatic potential on the surface of a charged conducting sphere is 100 V.

Two statements are made in this regard :
S1 : At any point inside the sphere, electric intensity is zero.
S2 : At any point inside the sphere, the electrostatic potential is 100 V.
Which of the following is a correct statement?

(A) S1 is true, but S2 is false.
(B) Both S1 and S2 are false.
(C) S1 is true, S2 is also true and S1 is the cause of S2.
(D) S1 is true, S2 is also true but the statements are independent.Deselect Answer

2. 
Equipotential at a great distance from a collection of charges whose total sum is not zero are approximately

(A) spheres.
(B) planes.
(C) paraboloids.
(D) ellipsoids.Deselect Answer

3. 
A positively charged particle is released from rest in an uniform electric field. The electric potential energy of the charge

(A) remains a constant because the electric field is uniform.
(B) increases because the charge moves along the electric field.
(C) decreases because the charge moves along the electric field.
(D) decreases because the charge moves opposite to the electric field.Deselect Answer

4. 
Figure shows some equipotential lines distributed in space. A charged object is moved from point A to point B.

 

(A) The work done in Figure (i) is the greatest.
(B) The work done in Figure (ii) is least.
(C) The work done is the same in Figure (i), Figure (ii) and Figure (iii).
(D) The work done in Figure (iii) is greater than Figure (ii), but equal to that in Figure (i).Deselect Answer

5. 
The work done to move a charge along an equipotential surface from A to B

(A) cannot be defined.
(B) is a negative quantity.
(C) is zero.
(D) is a positive quantity.Deselect Answer

6. 
The shape of equipotential surfaces due to an isolated charge is

(A) Concentric spherical shells and the distance between the shells increases with the decrease in electric field.
(B) Concentric spherical shells and the distance between the shells decreases with the decrease in electric field.
(C) Equi-spaced concentric spherical shells.
(D) Changes with the polarity of the charge.Deselect Answer

7. 
Electric potential inside a conducting sphere

(A) is zero.
(B) remains constant.
(C) decreases from centre to surface.
(D) increases from centre to surface.Deselect Answer

8. 
The electric potential at a point on the equatorial line of a electric dipole is

(A) directly proportional to the square of the distance.
(B) indirectly proportional to the square of the distance.
(C) directly proportional to the charge.
(D) None of the aboveDeselect Answer

9. 
A capacitor of 4 μF is connected as shown in the circuit Figure. The internal resistance of the battery is 0.5 Ω. The amount of charge on the capacitor plates will be :tial at a point on the equatorial line of a electric dipole is



(A) 0 μC
(B) 4 μC
(C) 16 μC
(D) 8 μCDeselect Answer

10. 
A parallel plate capacitor is made of two dielectric blocks in series. One of the blocks has thickness d1 and dielectric constant k1 and the other has thickness d2 and dielectric constant k2 as shown in Figure. This arrangement can be thought as a dielectric slab of thickness d (= d1+d2) and effective dielectric constant k. The k is :
11. 
In the circuit shown in Figure, initially key K1 is closed and key K2 is open. Then K1 is opened and K2 is closed. Then



(A) Voltage across C1 = Voltage across C2
(B) Voltage across C1 > Voltage across C2 , if C1 > C2
(C) Charge on C1 = charge on C2
(D) None of the aboveDeselect Answer

12. 
Capacitance of a parallel plate capacitor can be increased by

(A) increasing the distance between the plates.
(B) decreasing the distance between the plates.
(C) decreasing the area of plates.
(D) increasing the thickness of the plates.Deselect Answer

13. 
A parallel plate capacitor is charged by connecting it to a battery. Which of the following will remain constant if the distance between the plates of the capacitor is increased in this situation?

(A) Energy stored
(B) Electric field
(C) Potential difference
(D) CapacitanceDeselect Answer

14. 
4 capacitors, each of 2 μF, are connected as shown. What will be the equivalent capacitor across the points A, B?



(A) 0.5 μF
(B) 2 μF
(C) 8 μF
(D) 4 μFDeselect Answer

15. 
The capacitance of a parallel plate capacitor is 10 μF. When a dielectric plate is introduced in between the plates, its potential becomes 1/4th of its original value. What is the value of the dielectric constant of the plate introduced?

(A) 4
(B) 40
(C) 2.5
(D) none of the aboveDeselect Answer

16. 
Two spheres are separately charged and then brought in contact, so

(A) total charge on the two spheres is conserved.
(B) total energy of the two spheres is conserved.
(C) Both (a) and (b)
(D) None of the aboveDeselect Answer

17. 
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): Electric field is always normal to equipotential surfaces and along the direction of decreasing order of potential.
Reason (R): Negative gradient of electric potential is electric field.Deselect Answer

18. 
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): Electric field inside a hollow conducting sphere is zero.
Reason (R): Charge is present on the surface of conductor.Deselect Answer

19. 
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): Work done in moving a charge between any two points in a uniform electric field is independent of the path followed by the charge between these two points.
Reason (R): Electrostatic forces are non-conservativeDeselect Answer

20. 
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): Electric potential and electric potential energy are two different quantities.
Reason (R): For a test charge Q and a point charge Q, the electric potential energy becomes equal to the potential.Deselect Answer

21. 
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): When the distance between the parallel plates of a parallel plate capacitor is halved and the dielectric constant of the dielectric used is made three times, then the capacitance becomes three times.
Reason (R): Capacitance does not depend on the nature of material.Deselect Answer

22. 
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): Circuit containing capacitors should be handled very carefully even when the power is off.
Reason (R): The capacitors may break down at any time.Deselect Answer

23. 
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): Capacity of a conductor is independent on the amount of charge on it.
Reason (R): Capacitance depends on the dielectric constant of surrounding medium, shape and size of the conductor.Deselect Answer

24. 
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): Two parallel metal plates having charge +Q and –Q are facing at a distance between them. The plates are now immersed in kerosene oil and the electric potential between the plates decreases.
Reason (R): Dielectric constant of kerosene oil is less than 1.Deselect Answer

25. 
Attempt all the parts. Each question carries 1 mark.

Super capacitor: Super capacitor is a high capacity capacitor with a capacitance value much higher than normal capacitors but with lower voltage limits. Such capacitors bridges the gap between electrolytic capacitors and rechargeable batteries. In automobile, bus, train, crane, elevator such capacitors are used for regenerative braking, short term energy storage or burst-mode power delivery.
Super capacitors have many advantages over batteries: they are very low weight and generally don't contain harmful chemicals or toxic metal. They can be charged and discharged innumerable number of times without ever wearing out. The disadvantage is that super capacitors aren’t well-suited for long-term energy storage. The discharge rate of super capacitors is significantly higher than lithium-ion batteries; they can lose as much as 10-20% of their charge per day due to self-discharge.

a) Capacity of super capacitor is:
(A) very low. (B) medium. (C) very high. (D) may have any value.
b) Super capacitor makes a bridge between:
(A) electrolytic capacitor and rechargeable battery.
(B) single use battery and electrolytic capacitor.
(C) electrolytic capacitor and dynamo.
(D) electrolytic and non-electrolytic capacitors.
c) Super capacitors can be charged and discharged:
(A) few number of times.
(B) once only.
(C) several number of times but less than rechargeable batteries.
(D) several number of times much more than rechargeable batteries.
d) Self-discharge rate of Super capacitors:
(A) 10-20% of their charge per day
(B) 1 - 2% of their charge per day
(C) 0% of their charge per day
(D) 100% of their charge per day
e) Super capacitors are used for
(A) degenerative braking.
(B) regenerative braking.
(C) small appliances.
(D) long time charge storage.Deselect Answer

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