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Problems
2.3.4A hydrogen atom exists with its electron in the n=5 state. The electron undergoes a transition to the n=3 state. Calculate (a) the energy of the photon emitted, (b) its frequency, and (c) its wavelength in nanometers (nm).
2.3.6In a commercial x-ray generator, a stable metal such as Cu or Fe is exposed to an intense beam of high-energy electrons. These electrons cause ionization events in the metal atoms. When the metal atoms regain their ground state, they emit x-rays of characteristic energy and wavelength. For example, an Fe atom struck by a high-energy electron may lose one of its K shell electrons. When this happens, another electron, probably from the Fe L shell, will "fall" into the vacant site in the K shell. If such a 2p→1s transition in Fe occurs, an Fe Kα x-ray is emitted. An Fe Kα x-ray has a wavelength λ of 0.1937nm. What is its energy? What is its frequency?
2.5.4Calculate the attractive force (•→ ←•) between a pair of K+ and Cl- ions that just touch each other. Assume the ionic radius of the K+ ion to be 0.133nm and that of the Cl- ion to be 0.181nm.
2.5.6Calculate the net potential energy for a K+Cl- pair by using the b constant calculated from Prob. 2.5.4. Assume n=9.0.
2.5.8If the attractive force between a pair of Na+ and F- ions is 4.439×10-9N and the ionic radius of the Na+ ion is 0.095nm, calculate the ionic radius of the F- ion in nanometers.
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