If \(50~\text{J}\) of work must be done to move an electric charge of \(2~\text{C}\) from a point where the potential is \(-10\) volt to another point where the potential is \(\mathrm{V}\) volt, then the value of \(\mathrm{V}\) is:
1. \(5\) volt
2. \(-15\) volt
3. \(+15\) volt
4. \(+10\) volt
Three capacitors A, B and C are connected in a circuit as shown in Fig. What is the charge in C on the capacitor B:
1. | 1/3 | 2. | 2/3 |
3. | 1 | 4. | 4/3 |
The potential field of an electric field is:
1. | V = - x + y + constant |
2. | V = constant |
3. | \(\mathrm{V}=-\left(\mathrm{x}^2+\mathrm{y}^2\right)+\) constant |
4. | \(V=-x y+\) constant |
What is the area of the plates of a \(2~\text{F}\) parallel plate capacitor, given that the separation between the plates is \(0.5~\text{cm}\)?
1. \(1100~\text{km}^2\)
2. \(1130~\text{km}^2\)
3. \(1110~\text{km}^2\)
4. \(1105~\text{km}^2\)
In a hydrogen atom, the electron and proton are bound at a distance of about 0.53 Å. The potential energy of the system in eV is:
(Taking the zero of the potential energy at an infinite separation of the electron from the proton.)
1. -23.1 eV
2. 27.0 eV
3. -27.2 eV
4. 23.7 eV
The work done to move a charge along an equipotential from A to B:
1. | can not be defined as \(-\int_{\mathrm{A}}^{\mathrm{B}} \text { E. dl. }\) |
2. | must be defined as \(-\int_{\mathrm{A}}^{\mathrm{B}} \text { E. dl. }\) |
3. | is zero |
4. | can have a non-zero value. |
In a region of constant potential:
a. | the electric field is uniform |
b. | the electric field is zero |
c. | there can be no charge inside the region |
d. | the electric field shall necessarily change if a charge is placed outside the region |
Choose the correct statement(s):
1. b and c
2. a and c
3. b and d
4. c and d
In the circuit shown in the figure initially key K1 is closed and key K2 is open. Then K1 is opened and K2 is closed (order is important).
[Take Q1 and Q2 as charges on C1 and C2 and V1 and V2 as voltage respectively.]
Then,
a. | charge on C gets redistributed such that V1 = V2 |
b. | charge on C gets redistributed such that Q1 = Q2 |
c. | charge on C gets redistributed such that C1V1 + C2V2 = C1E |
d. | charge on C gets redistributed such that Q1+ Q2 = Q |
Choose the correct statement(s)
1. a and c
2. a and d
3. b and c
4. c and d
A parallel plate capacitor is connected to a battery as shown in the figure. Consider two situations.
A: | Key K is kept closed and plates of capacitors are moved apart using the insulating handle. |
B: | Key K is opened and plates of capacitors are moved apart using the insulating handle. |
Choose the correct option(s):
a. | In A, Q remains the same but C changes. |
b. | In B, V remains the same but C changes. |
c. | In A, V remains the same and hence Q changes. |
d. | In B, Q remains the same and hence V changes. |
1. a and b
2. a and d
3. b and c
4. c and d
Equipotential at a great distance from a collection of charges whose total sum is not zero are approximately:
1. | spheres | 2. | planes |
3. | paraboloids | 4. | ellipsoids |