An electron trapped in a one-dimensional infinitely deep potential well with a width of 250 pm is excited from the first excited state to the third excited state. What energy must the electron acquire for this quantum jump to occur? The electron then emits a photon and transitions to the ground state. Determine the wavelength and momentum of the emitted photon.

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An electron trapped in a one-dimensional infinitely deep potential well with a width of 250 pm is excited from the first excited state to the third excited state.

  1. What energy must the electron acquire for this quantum jump to occur?
  2. The electron then emits a photon and transitions to the ground state. Determine the wavelength and momentum of the emitted photon.
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