The radius of the first permitted Bohr orbit for the electron in a hydrogen atom equals \(0.5~\mathring{\text{A}}\) and its ground state energy equals \(-13.6~\text{eV}\). If the electron in the hydrogen atom is replaced by a muon \((\mu^{-})\)$$ [charge same as electron and mass \(207~m_e\)${}_{}$], the first Bohr radius and ground state energy will be: ( \(m_e\) represents the mass of an electron)

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.	\(2.56\times10^{-13}~\text{m}, ~-13.6~\text{eV}\)

$$\(\alpha\text{-}\)particle consists of:

The total energy of an electron in the orbit of an atom is \(-3.4~\mathrm{eV}\). Its kinetic and potential energies are, respectively:

For which one of the following Bohr model is not valid?

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. \(E_n = -{13.6}\times{n^2}~\text{eV}\)

Let \(L_1\) and \(L_2\) be the orbital angular momentum of an electron in the first and second excited states of the hydrogen atom, respectively. According to Bohr's model, the ratio \(L_1:L_2\) is:
1. \(1:2\)
2. \(2:1\)
3. \(3:2\)
4. \(2:3\)