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:
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 |
The total energy of an electron in the orbit of an atom is \(-3.4~\mathrm{eV}\). Its kinetic and potential energies are, respectively:
1. | \(3.4~\mathrm{eV},~3.4~\mathrm{eV}\) |
2. | \(-3.4~\mathrm{eV},~-3.4~\mathrm{eV}\) |
3. | \(-3.4~\mathrm{eV},~-6.8~\mathrm{eV}\) |
4. | \(3.4~\mathrm{eV},~-6.8~\mathrm{eV}\) |
The radius of Germanium (Ge) nuclide is measured to be twice the radius of . The number of nucleons in Ge is:
1. 73
2. 74
3. 75
4. 72
The ionization potential of the hydrogen atom is 13.6 V. Hydrogen atoms in the ground state are excited by monochromatic radiation of photon energy 12.1 eV. According to Bohr’s theory, the spectral lines emitted by hydrogen will be:
1. two
2. three
3. four
4. one
The total energy of an electron in the ground state of a hydrogen atom is -13.6 eV. The kinetic energy of an electron in the first excited state is:
1. 3.4 eV
2. 6.8 eV
3. 13.6 eV
4. 1.7 eV
If the nucleus has a nuclear radius of about 3.6 fermis, then would have its radius approximately as:
1. 6.0 Fermi
2. 9.6 Fermi
3. 12.0 Fermi
4. 4.8 Fermi
1. 3.4 eV
2. 6.8 eV
3. 10.2 eV
4. zero