Atomic Structure Result Question 14-1

14. Which of the following is the energy of a possible excited state of hydrogen?

(2015 Main)

(a) $+13.6 $ $\mathrm{eV}$

(b) $-6.8 $ $\mathrm{eV}$

(c) $-3.4 $ $\mathrm{eV}$

(d) $+6.8 $ $\mathrm{eV}$

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Answer:

Correct Answer: 14. ( c )

Solution:

  1. $\therefore \quad E_n=-\dfrac{13.6}{n^2} \mathrm{~eV} \quad \quad$ where, $n=1,2,3 \ldots$

In excited states, $E_2=\dfrac{-13.6}{4}=-3.4 \mathrm{~eV}$