went through the process of solving the electron e hydrogen atom. We obtain the
ID: 1042067 • Letter: W
Question
went through the process of solving the electron e hydrogen atom. We obtain the energy E and wave function h,m(r,0+)-R?(r)Yun(94) We and wave function in the m 1ER13.dv 1 (A) [7pts] Even though Bohr was the first to obtain the energy expression, his argument was not entirely correct. Explain what was wrong and/or illustrate inconsistency with solutions from TISE? E(eV) (B) [6pts] what is the wavelength of the gamma ? line in the Lyman series of hydrogen? What if this is a hydrogen-like atom with 2-4? -09 -15 34 [C) [6pts] For n 3, what is the degeneracy? Write down all the possible (n,l,m). What are the respective meaning of the three quantum numbers? 13.6 Lyman D) [6pts] The radial equation for 0 states in hydrogen is given by What is the energy of the following (radial) wave function R) Hint: find its n ?]Explanation / Answer
a.The bohrs model failed to exolian the following ,
1.Bohrs models could not explain the spectra of atomscontaining more tha one atoms.
2.It could not explain Zeeman's effect which states that in presence of magnetic field, each spectral line gets splits up into fine lines.
3.It fails to explain stark effect which states that in presence of electric field,each spectral line gets splits up into fine lines.
4. The main objective of bohrs model is Heisenberg Uncertainty principle.According to this principle, it is impossible to determine simultaneously the exact position and the momentum of small moving particle like electron.But according to bohrs model, electron moves in an orbit around nucleus and hence its position as well as momentum can be determined simultaneously, which is against the uncertainty principle.So,electron moves in a well defined orbit is impossible.
B. Answer
972 Amstrong
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