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The energy levels of a particular quantum object are -11.5 ev, -4.7 ev, and -2.9 ev. if a collection of these objects is bombarded by an electron beam so that there are some objects in each excited state, what are the energies of the photons that will be emitted?

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Final answer:

The energies of the emitted photons when the quantum objects transition to lower energy levels are 1.8 eV, 6.8 eV, and 8.6 eV.

Step-by-step explanation:

Photon Energies Emitted from Excited States

When the collection of quantum objects is bombarded by an electron beam, the objects in their excited states can emit photons as they return to lower energy levels or to the ground state. To find the energy of the photons that will be emitted, we use the energy difference between the levels involved in the transition:

E_{photon} = E_{initial} - E_{final}

Since we have energy levels at -11.5 eV, -4.7 eV, and -2.9 eV, the potential transitions and their photon energies are as follows:

  • From -2.9 eV to -4.7 eV: 1.8 eV (photon emitted)
  • From -2.9 eV to -11.5 eV: 8.6 eV (photon emitted)
  • From -4.7 eV to -11.5 eV: 6.8 eV (photon emitted)

These values are the possible energies of photons emitted by the quantum objects as they de-excite to lower energy states.

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