For a certain atom,there are energy levels A,B,C corresponds to energy values EA<EB<EC.If λ1, λ2, λ3 are the wavelengths of radiations corresponding to transisition from C to B,B to A, and C to A respectively.Then find a relation between λ1, λ2, λ3.
The sum of the energies for transitions C to B and B to A is equal to the energy for transition C to A. In other words, the energies and frequencies are additive whereas wavelength is inversely proportional to the frequency, so the reciprocals of the wavelengths are additive.
Thus,