The second line of the hydrogen Lyman series is the transition

PHYSICS · Multi-part · Fermi University Physics · Quantum Mechanics · Atomic, Molecular & Optical Physics · Origins of quantum theory

Quantum Mechanics: From the Photon to the Hydrogen Atom, Ch Line spectra, the Bohr atom and the old quantum theory

Problem

n_2 = 3 \to n_1 = 1

. Take

R_H = 1.097\times10^7\ \mathrm{m^{-1}}

and treat the nucleus as fixed. ((a)) Find its wavelength, in nm. ((b)) Be

^{3+}

is a one-electron ion with nuclear charge

Z = 4

. Find the wavelength of its

3 \to 1

line, in nm.