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.

Bohr's Model

Select the correct option:

🔒 Solution Hidden from View

More atomic structure Practice Questions

An electron in a hydrogen atom transitions from the third energy level to the first energy level. Wh...

The wavelength of the first line in the Balmer series of hydrogen spectrum is 656 nm. The wavelength...

About This Question

Solution