For a specific material, the energies and wavelengths of its characteristic X-rays satisfy which of the following relations?

Step-by-step solution

The energy of characteristic X-rays is given by the difference in energy levels of the atom: E = E_ n₂ - E_ n₁ . The energy levels of an atom are approximately given by E_n - 1 n^2 . For the K series, the transitions are to the K shell ( n=1 ): E(K_ ) = E₂ - E₁ E(K_ ) = E₃ - E₁ E(K_ ) = E₄ - E₁ Since E₄ > E₃ > E₂ , we have E(K_ ) > E(K_ ) > E(K_ ) . Using the relation = hc E , the wavelengths follow the reverse order: (K_ ) > (K_ ) > (K_ ) For the transitions of different series, the transitions are between adjacen