bohr's model

Question

According to Bohr's model, the energy of an electron in the nth orbit of a hydrogen atom is given by E = -13.6/n² eV. What is the energy of an electron in the third orbit?

RankGuru · Accepted Answer

According to **Bohr's Model** for the Hydrogen atom, the energy of an electron in the $n^{th}$ shell is:
$E_n = -\frac{13.6}{n^2} 	ext{ eV/atom}$
Given $n = 3$ for the third orbit:
$E_3 = -\frac{13.6}{3^2} = -\frac{13.6}{9} \approx -1.51 	ext{ eV}$
- The negative sign indicates that the electron is bound to the nucleus by attractive forces.
- As $n$ increases, $E_n$ becomes less negative, meaning the electron is less tightly bound.

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