For a certain hypothetical one-electron atom

CHEMISTRY · Multi-part · CBSE · Chemistry · Structure of Atom · Structure of Atom

Problem

For a certain hypothetical one-electron atom, the wavelengths, in A˚\text{\AA}, of spectral lines for transitions originating at n=pn=p and terminating at n=1n=1 are given by λ=1500p2p2−1,where p=2,3,4.\lambda=\frac{1500p^2}{p^2-1},\quad \text{where }p=2,3,4. (1) Find the wavelength of the least energetic and the most energetic photons in this series. (2) Construct an energy-level diagram for this element showing the energies of the lowest three levels. (3) What is the ionization potential of this element?

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