Q. No.In a hydrogen atom, the electron and proton are bound at a distance of about \(0.53~\mathring{A}\). 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. \(1105~\text{km}^2\)
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. | \(10\) V | 2. | \(-20\) V |
| 3. | \(+20\) V | 4. | \(-10\) V |
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 |
Three capacitors \(A\), \(B\) and \(C\) are connected in a circuit as shown in Fig. What is the charge in \(\mu \text{C}\) on the capacitor \(B\):
| 1. | \(\frac{1}{3}\) | 2. | \(\frac{2}{3}\) |
| 3. | \(1\) | 4. | \(\frac{4}{3}\) |
| 1. | \(V = -x+y+\) constant |
| 2. | \(V\) = constant |
| 3. | \(V=-\left({x}^2+{y}^2\right)+\) constant |
| 4. | \(V=-x y+\) constant |
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. | \(0.44 \times 10^{-13} ~\text{C}^2 \text{N}^{-1} \text{m}^{-2}\) |
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. \(50~\text{V}\)
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
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