QCEVault

Quantum theory — Question 241

Original QCE Vault practice · 6 marks

Q241 · Practice questionComplex unfamiliar6 marks

QUESTION 241 (6 marks)

An atom has the bound energy levels shown. An electron initially in the ground state absorbs one photon and reaches the highest shown level. It then returns to the ground state in exactly two radiative steps. The first emitted photon has energy 6.00 eV6.00\,\mathrm{eV}. Use h=6.626×10−34 J sh=6.626\times10^{-34}\,\mathrm{J\,s}, c=3.00×108 m s−1c=3.00\times10^8\,\mathrm{m\,s^{-1}} and 1.00 eV=1.60×10−19 J1.00\,\mathrm{eV}=1.60\times10^{-19}\,\mathrm J.
Four bound energy levels at -12.0, -7.00, -3.00 and -1.00 eV. The lowest is ground and the highest is the excited starting level. No transition arrows disclose the intermediate level. Not to scale.
a)
Calculate the wavelength of the absorbed photon.
[2 marks]
b)
Identify the intermediate level and justify it using the first emitted photon.
[2 marks]
c)
Calculate the wavelength of the second emitted photon.
[2 marks]
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