A) \[3.4\text{ }eV\]
B) \[6.8\text{ }eV\]
C) \[10.2\text{ }eV\]
D) zero
Correct Answer: C
Solution :
| [c] Key Idea: Excitation energy is defined as the energy required to take the electron from ground level orbit to any higher order orbit (i.e., \[n=2,3,4...\]). |
| Given, ground state energy of hydrogen atom |
| \[{{E}_{1}}=-13.6eV\] |
| Energy of electron in first excited state |
| (i.e., \[n=2\]) |
| \[{{E}_{2}}=-\frac{13.6}{{{(2)}^{2}}}eV\] |
| Therefore, excitation energy \[\Delta E={{E}_{2}}-{{E}_{1}}\] |
| \[=-\frac{13.6}{4}-(-13.6)\] |
| \[=-3.4+13.6=10.2\,eV\] |
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