Problem 1: What is the shortest wavelength photon emitted in the Lyman series of hydrogen?
Solution
The general equation for the wavelengths in the hydrogen spectrum is
In the Lyman series, the transition takes place in innermost orbit (P = 1) of the hydrogen atom. The equation for the wavelength emitted in such transition is
Where R is the Rydberg constant and equal to 1.0973732 × 107 m-1. For the shortest wavelength, n = ∞. Put values in the above equation,
Therefore,
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