What is the wavelength of light emitted when the electron in a hydrogen atom undergoes transition from an energy level with n = 4 to an energy level with n = 2?

Question

Philoid · Accepted Answer

By referring to Balmer Formula:

We know that

Wave Number

Here n₁ = 2 and n₂ = 4 and the value of R_h = 109678

Wave Number

= [109678×3] / 16

= 329034 / 16

= 20564.625 cm^-1

We know that Wave Number = [1] / [Wavelength, λ]

Therefore, Wavelength = [1 / 20564.625]

λ = 4.863× 10^-5 cm

Therefore, the wavelength of the light is 4.86× 10^-5 cm