Energy of the first excited state
Consider an electron in a box. If the energy of the first excited state is 10 eVlarger than the energy of the ground state, what is the size of the box.
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Apply boundary conditions to obtain the minimum energy of the electron in this box. Compare this energy with that of the n = 10 state of hydrogen.
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In Bohr model of hydrogen atom, the average kinetic energy of the electron in the first excited state is four times the smaller than in the ground state. For a particle in a box, the kinetic energy for the first excited state is four times larger
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