Question

Find the energy of the electron in eV in the third Bohr orbit of the hydrogen atom. 

[R = 1.097 × 10⁷ m^-1 , c = 3 × 10⁸ m/s, h = 6.63 × 10^-19 J∙s, e = 1.6 × 10^-19 C]

Answer 1

Data : n = 3, R = 1.097 × 10⁷ m^-1 , 

c = 3 × 10⁸ m/s, 

h = 6.63 × 10^-19 J∙s, 

e = 1.6 × 10^-19 C

\(\cfrac{E_n}R\) = - \(\cfrac{ch}{n^2}\)

\(\therefore\) The energy of the electron in the third Bohr orbit,

E₃ = - \(\cfrac{Rch}{n^2}\)