According to the Bohr model of a hydrogen atom, the frequency of light radiated by an electron moving from an orbit n₁ to an orbit n₂ corresponds to the energy level difference between n₁ and n₂ of :
E = E₀ (1/n₁² -1/n₂²)
Where,
E₀ = mₓZ²e⁴/32π²∈₀h²
Where,
mₓ is the electron mass
Z is the atomic number
e is the magnitude of the electron charge
∈₀ is the permittivity of free space
h is Planck's constant divided by 2π.
In the case of hydrogen (Z = 1).
∈₀ = -13.6 eV
The frequency of light f radiated by an electron = 9.860×10¹⁵ Hz