a What is the wavelength of light for the least energetic ph

(a) What is the wavelength of light for the least energetic photon emitted in the Balmer series of the hydrogen atom spectrum lines? Light with this wavelength is in the ultraviolet range. (b) What is the wavelength of the series limit for the Balmer series?

(a)

(b)

Solution

a. 1/wavelength = R_H(1/2²-1/3²), R_H=1.097 X 10⁷ m^-1
So wavelength = 656.3 nm

b. wavelength = R_H(1/2²-1/infinity²) , wavelength = 364.6 nm