Show that the frequency of `K_(beta) X`- rays if material is equal to the sum of frequencies of `K_(alpha)` and `L_(alpha)` X-rays of the same material.

Explanation

The energy level diagram of an atom with one electron knocked out is shown in figure `(44-W1)`.
Energy of K_alpha X-ray is `E_(K_alpha) = E_K - E_L`
of `K_beta` X-ray is `E_(K_beta) = E_K - E_M'`
of `L_alpha` X-ray is `E_(L_alpha) = E_L - E_M*`
Thus, `E_(K_beta) = E_(K_alpha) + E_(L_alpha)`
or, `hv_(K_beta) = hv_(k_alpha) + hv_(L_alpha)`
or, `v_(K_beta) = v_(K_alpha) + v_(L_alpha*)`.