Atoms - Result Question 24
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25. 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
======= ####25. 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
3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/atoms/atoms—result-question-24.md (a) $-13.6 eV$
(b) $-27.2 eV$
(c) $-54.4 eV$
(d) $-6.8 eV$
[2010]
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Answer:
Correct Answer: 25. (a)
Solution:
- (a) Energy of a $H$-like atom in it’s $n^{\text{th }}$ state is given by
$E_n=-Z^{2} \times \frac{13.6}{n^{2}} eV$
For, first excited state of $He^{+}, n=2, Z=2$
$\therefore \quad E _{He^{+}}=-\frac{4}{2^{2}} \times 13.6=-13.6 eV$
