In your research on new solid-state devices, you are studying a solid-state structure that can be modeled accurately as an electron in a one-dimensional infinite potential well (box) of width L. In one of your experiments, electromagnetic radiation is absorbed in transitions in which the initial state is the n = 1 ground state. You measure that light of frequency f = 9.0x 1014 Hz is absorbed and that the next higher absorbed frequency is 16.9 x 1014 Hz. (a) What is quantum number n for the final state in each of the transitions that leads to the absorption of photons of these frequencies? (b) What is the width L of the potential well? (c) What is the longest wavelength in air of light that can be absorbed by an electron if it is initially in the n = 1 state?
In your research on new solid-state devices, you are studying a solid-state structure that can be modeled accurately as an electron in a one-dimensional infinite potential well (box) of width L. In one of your experiments,
(a) What is quantum number n for the final state in each of the transitions that leads to the absorption of photons of these frequencies?
(b) What is the width L of the potential well?
(c) What is the longest wavelength in air of light that can be absorbed by an electron if it is initially in the n = 1 state?
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