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I want you to compare particle in a box with the Bohr atom. For the particle...

I want you to compare particle in a box with the Bohr atom. For the particle in the box you can assume the size is .5x10^-10 m and the particle that is trapped is an electron. For the Bohr atom consider a hydrogen atom.

a.) What is the energy of photon emitted when the electron drops from 3->2 and 2->1 in the particle in a box?

b.) What is the energy of photon emitted when the electron drops from 3->2 and 2->1 in the Hydrogen atom.

c.) Draw the first 3 wavefunctions (ground state, 1st excited, 2nd excited) for a particle in a box)

d.) Why are the energy levels so different? What is the fundamental change in between these two situations?

Science   Advanced-Physics   
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Answer #1

the difference in energy is clearly seen in the formulation where the dependency of quantum number plays significant role

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