Q. No.The wavelength of the first line of Lyman series for the hydrogen atom is equal to that of the second line of Balmer series for a hydrogen-like ion. The atomic number Z of hydrogen-like ion is:
1. \(4\)
2. \(1\)
3. \(2\)
4. \(3\)
The energy of a hydrogen atom in the ground state is \(-13.6\) eV. The energy of a He+ ion in the first excited state will be:
1. \(-13.6\) eV
2. \(-27.2\) eV
3. \(-54.4\) eV
4. \(-6.8\) eV
If an alpha nucleus of energy bombards a heavy nuclear target of charge Ze, then the distance of closest approach for the alpha nucleus will be proportional to:
| 1. | \(\frac{1}{Ze} \) | 2. | \(v^2 \) |
| 3. | \(\frac{1}{m} \) | 4. | \(\frac{1}{v^4}\) |
1. \(n= 3~\text{to}~n=2~\text{states}\)
2. \(n= 3~\text{to}~n=1~\text{states}\)
3. \(n= 2~\text{to}~n=1~\text{states}\)
4. \(n= 4~\text{to}~n=3~\text{states}\)
1. 3.4 eV
2. 6.8 eV
3. 10.2 eV
4. zero
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
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
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 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
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