A ground-state hydrogen atom absorbs a photon of energy .

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Problem

A ground-state hydrogen atom absorbs a photon of energy 10.2 eV10.2\,\text{eV}. (i) To which stationary state is the electron promoted? (ii) If the electron subsequently returns directly to the ground state, find the wavelength of the emitted radiation. (Take h=6.63×10−34 J sh = 6.63 \times 10^{-34}\,\text{J s}, c=3.00×108 m s−1c = 3.00 \times 10^{8}\,\text{m s}^{-1}, 1 eV=1.602×10−19 J1\,\text{eV} = 1.602 \times 10^{-19}\,\text{J}.)

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