An electron revolves around a nucleus of charge \(Ze\). In order to excite the electron from the state \(n=3\) to \(n=4\), the energy required is \(66.0 ~\text{eV}\).
The value of \(Z\) will be:
1. \(25\)
2. \(10\)
3. \(4\)
4. \(5\)
1. | total energy of electron in \(1\text{st}\) orbit of \(\mathrm{He}^{+}\) |
2. | total energy of electron in \(3\text{rd}\) orbit of \(\mathrm{He}^{+}\) |
3. | total energy of electron in \(2\text{nd}\) orbit of \(\mathrm{Li}^{++}\) |
4. | total energy of electron in \(3\text{rd}\) orbit of \(\mathrm{Li}^{++}\) |
1. | \(\frac{1}{Ze} \) | 2. | \(v^2 \) |
3. | \(\frac{1}{m} \) | 4. | \(\frac{1}{v^4}\) |
1. | \(\frac{3}{23}\) | 2. | \(\frac{7}{29}\) |
3. | \(\frac{9}{31}\) | 4. | \(\frac{5}{27}\) |
1. | \(\dfrac{1}{4}\) | 2. | \(\dfrac{4}{9}\) |
3. | \(\dfrac{9}{4}\) | 4. | \(4\) |