An electron in a doubly-ionized lithium atom can occupy the following three energy…

PHYSICS · Subjective · A Level · Physics · Particles and radiation · Particles and radiation

Problem

An electron in a doubly-ionized lithium atom can occupy the following three energy levels: E1=−24.6 eVE_1 = -24.6\,\text{eV}, E2=−9.1 eVE_2 = -9.1\,\text{eV}, E3=−5.4 eVE_3 = -5.4\,\text{eV}. After being promoted to the highest of these levels, the electron eventually returns to the ground state. What is the shortest possible wavelength (in nanometres) that can be emitted during its return? Express your answer to two significant figures. Constants: h=6.63×10−34 J⋅sh = 6.63\times10^{-34}\,\text{J}\cdot\text{s}, c=3.00×108 m/sc = 3.00\times10^{8}\,\text{m/s}, 1 eV=1.60×10−19 J1\,\text{eV} = 1.60\times10^{-19}\,\text{J}.

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