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A hypothetical atom has three energy levels: the ground-state level and levels 1.25 eV and 2.75...

A hypothetical atom has three energy levels: the ground-state level and levels 1.25 eV and 2.75 eV above the ground state. When this atom is in the ground state, what wavelengths of light may it absorb? Let Planck

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Answer #1

In this case the atom can absorb 3 wvelengths.

Case I: Transition from ground state to 1st energy level.

E=1.25-0=1.25 eV

E=hc/wavelength

wavelength=4.136*10-15*3.00*108/1.25

                                =9.926*10-7 m

Case II: Transition from ground state to 2nd energy level.

E=2.75-0=2.75 eV

E=hc/wavelength

wavelength=4.136*10-15*3.00*108/2.75

                                =4.512*10-7 m

Case III: Transition from 1st to 2nd energy level.

E=2.75-1.25=1.50 eV

E=hc/wavelength

wavelength=4.136*10-15*3.00*108/1.50

                                =8.272*10-7 m

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