Relative to the energy of the atom with no vacancy, the energy of a silver atom with a vacancy in the K shell is 25.31 keV higher, in the L shell is 3.56 keV higher, and in the M shell is 0.530 keV higher. Determine the frequency of the K_ , K_ , and L_ X-rays of silver.

Step-by-step solution

The energy of the atom with a vacancy in the K , L , and M shells are given as E_K = 25.31 keV , E_L = 3.56 keV , and E_M = 0.530 keV . The energy of the emitted X-ray photon is the difference between the energies of the atom with vacancies in the respective shells. For the K_ X-ray, the transition is from the L shell to the K shell (the atom goes from a K -vacancy to an L -vacancy): E_ K_ = E_K - E_L = 25.31 - 3.56 = 21.75 keV For the K_ X-ray, the transition is from the M shell to the K shell (the atom goes from