Q. No.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
1. \(5\) volt
2. \(-15\) volt
3. \(+15\) volt
4. \(+10\) volt
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. \(1105~\text{km}^2\)
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
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 the figure. This arrangement can be thought of as a dielectric slab of thickness d = d1 + d2 and effective dielectric constant K. K is:
| 1. | \(\frac{\mathrm{K}_{1} \mathrm{~d}_{1}+\mathrm{K}_{2} \mathrm{~d}_{2}}{\mathrm{~d}_{1}+\mathrm{d}_{1}}\) | 2. | \(\frac{\mathrm{K}_{1} \mathrm{~d}_{1}+\mathrm{K}_{2} \mathrm{~d}_{2}}{\mathrm{~K}_{1}+\mathrm{K}_{2}}\) |
| 3. | \(\frac{\mathrm{K}_{1} \mathrm{~K}_{2}\left(\mathrm{~d}_{1}+\mathrm{d}_{2}\right)}{\mathrm{K}_{1} \mathrm{~d}_{2}+\mathrm{K}_{2} \mathrm{~d}_{1}}\) | 4. | \(\frac{2 \mathrm{~K}_{1} \mathrm{~K}_{2}}{\mathrm{~K}_{1}+\mathrm{K}_{2}}\) |
Consider a uniform electric field in the Z-direction. The potential is constant:
| a. | in all space |
| b. | for any x for a given z |
| c. | for any y for a given z |
| d. | on the x-y plane for a given z |
1. (a, b, c)
2. (a, c, d)
3. (b, c, d)
4. (c, d)
The increasing order of the electrostatic potential energies for the given system of charges is given by:
| 1. | a = d < b < c | 2. | b = d < c < a |
| 3. | b = c < a < d | 4. | c < a < b < d |
A short electric dipole has a dipole moment of \(16 \times 10^{-9} ~\text{C-}\text{m}\). The electric potential due to the dipole at a point at a distance of \(0.6~\text{m}\) from the centre of the dipole situated on a line making an angle of \(60^{\circ}\) with the dipole axis is: \(\left( \frac{1}{4\pi \varepsilon_0}= 9\times 10^{9}~\text{N-m}^2/\text{C}^2\right)\)
1. \(200~\text{V}\)
2. \(400~\text{V}\)
3. zero
4. \(50~\text{V}\)
The variation of electrostatic potential with radial distance \(r\) from the centre of a positively charged metallic thin shell of radius \(R\) is given by the graph:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
A parallel plate air capacitor is charged to potential difference V. After disconnecting the battery, the distance between the plates of the capacitor is increased using an insulating handle. As a result the potential difference between the plates:
1. decreases.
2. increases.
3. becomes zero.
4. does not change.
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