| 1. | \(2\) protons only. |
| 2. | \(2\) protons and \(2\) neutrons only. |
| 3. | \(2\) electrons, \(2\) protons, and \(2\) neutrons. |
| 4. | \(2\) electrons and \(4\) protons only. |
| 1. | \(3.4~\text{eV},~3.4~\text{eV}\) |
| 2. | \(-3.4~\text{eV},~-3.4~\text{eV}\) |
| 3. | \(-3.4~\text{eV},~-6.8~\text{eV}\) |
| 4. | \(3.4~\text{eV},~-6.8~\text{eV}\) |
The radius of the first permitted Bohr orbit for the electron in a hydrogen atom is 0.5 Å, and its ground state energy is \(-13.6~\text{eV}.\) If the electron in the hydrogen atom is replaced by a muon \((\mu^{-}),\) which has the same charge as the electron but is \(207\) times more massive, what will be the new values for the first Bohr radius and ground state energy?
| 1. | \(0.53\times10^{-13}~\text{m}, ~-3.6~\text{eV}\) |
| 2. | \(25.6\times10^{-13}~\text{m}, ~-2.8~\text{eV}\) |
| 3. | \(2.56\times10^{-13}~\text{m}, ~-2.8~\text{keV}\) |
| 4. | \(2.56\times10^{-13}~\text{m}, ~-13.6~\text{eV}\) |
For which one of the following Bohr models is not valid?
| 1. | Singly ionised helium atom \(\big(\mathrm{He}^{+}\big).\) |
| 2. | Deuteron atom. |
| 3. | Singly ionised neon atom \(\big(\mathrm{Ne}^{+}\big).\) |
| 4. | Hydrogen atom. |
The total energy of an electron in the \(n^{th}\) stationary orbit of the hydrogen atom can be obtained by:
1. \(E_n = \frac{13.6}{n^2}~\text{eV}\)
2. \(E_n = -\frac{13.6}{n^2}~\text{eV}\)
3. \(E_n = \frac{1.36}{n^2}~\text{eV}\)
4. \(E_n = -{13.6}\times{n^2}~\text{eV}\)
| 1. | \(9:4\) | 2. | \(1:4\) |
| 3. | \(4:1\) | 4. | \(4:9\) |
| 1. | \(1:2\) | 2. | \(2:1\) |
| 3. | \(3:2\) | 4. | \(2:3\) |
| 1. | \(0.25\) | 2. | \(0.5\) |
| 3. | \(2\) | 4. | \(4\) |
| 1. | \(4.77~ \mathring{A}\) | 2. | \(0.53~ \mathring{A}\) |
| 3. | \(1.06~ \mathring{A}\) | 4. | \(1.59~ \mathring{A}\) |