In a certain region of space with volume \(0.2\) m3, the electric potential is found to be \(5\) V throughout. The magnitude of electric field in this region is:
1. \(0.5\) N/C
2. \(1\) N/C
3. \(5\) N/C
4. zero
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 capacitance of a parallel plate capacitor with air as a medium is \(6~\mu\text{F}\). With the introduction of a dielectric medium, the capacitance becomes \(30~\mu\text{F}\). The permittivity of the medium is:\(\left(\varepsilon_0=8.85 \times 10^{-12} ~\text{C}^2 \text{N}^{-1} \text{m}^{-2}\right )\)
1. | \(1.77 \times 10^{-12}~ \text{C}^2 \text{N}^{-1} \text{m}^{-2}\) |
2. | \(0.44 \times 10^{-10} ~\text{C}^2 \text{N}^{-1} \text{m}^{-2}\) |
3. | \(5.00 ~\text{C}^2 \text{N}^{-1} \text{m}^{-2}\) |
4. | \(0.44 \times 10^{-13} ~\text{C}^2 \text{N}^{-1} \text{m}^{-2}\) |
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 |
An electric field exists in a certain region of space. Then the potential difference V = Vo– VA, where Vo is the potential at the origin and VA is the potential at x = 2 m is:
1. | 10 V | 2. | –20 V |
3. | +20 V | 4. | –10 V |
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
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. \(1105~\text{km}^2\)
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.
Two condensers of capacity 0.3 and 0.6 are connected in series. The combination is connected across a potential of 6 V. The ratio of energies stored by the condensers will be:
1.
2. 2
3.
4. 4
The electric potential difference between two parallel plates is \(2000 ~\mathrm V\). If the plates are separated by \(2~ \mathrm {mm}\), what is the magnitude of the electrostatic force on a charge of \(4 \times 10^{-6}~ \mathrm C\)located midway between the plates?
1. | \(4~\mathrm N\) | 2. | \(6~\mathrm N\) |
3. | \(8~\mathrm N\) | 4. | \(1.5 \times 10^{-6}~ \mathrm N\) |