An electron confined to an infinite potential well absorbs a photon with wavelength 𝜆. As a result, the electron makes a transition from the n = 1 state to the n = 7 state.What is the wavelength 𝜆' of the photon emitted when the electron makes a transition from the n = 4 state to the n = 1 state? (Give your answer as a decimal factor of 𝜆, eg write 2.5 if 𝜆' = 2.5 𝜆)
Question
An electron confined to an infinite potential well absorbs a photon with wavelength 𝜆. As a result, the electron makes a transition from the n = 1 state to the n = 7 state.What is the wavelength 𝜆' of the photon emitted when the electron makes a transition from the n = 4 state to the n = 1 state? (Give your answer as a decimal factor of 𝜆, eg write 2.5 if 𝜆' = 2.5 𝜆)
Solution
To solve this problem, we need to use the formula for the energy levels of an electron in an infinite potential well, which is given by:
E_n = n²h² /
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