PSE_1_Chem113A_W08

# PSE_1_Chem113A_W08 - 1 Practice Self Evaluation#1(Chem113A...

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2 [1] Big Picture: with CM, Who Needs QM? [1](a) Success of CM: Bohr’s Correspondence Principle Bohr’s “Correspondence Principle” says, “In the classical limit, quantum results approach classical results”. It implies: in the classical limit, we do not need QM! Please use the spectral distribution ρ ( ν ,T) for blackbody radiation to demonstrate Bohr’s correspondence principle. That is, please prove by algebra that as T Æ (classical limit), ρ ( ν ,T) = (Planck’ s distribution, from QM) approaches (Rayleigh- Jeans law, from CM). Please show algebraic details. [1](b) Success of CM: Bohr’s model on H-like atoms Using a combination of CM ( , no need to prove this) and QM (quantization of angular momentum l = mvr = n ħ , no need to derive this) theories, Bohr successfully explained the discrete spectrum of H-like atoms (Nobel prize in Physics, 1922). Please derive the de Broglie matter wave relation λ =h/p (where linear momentum p=mv) based on the quantization of angular momentum l = mvr = n ħ and the assumption that the quantum wave of the H-like-atom’s electron forms a circular standing wave. Please show algebraic details.
3 [1](c) Downfall of CM: photoelectric effect

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PSE_1_Chem113A_W08 - 1 Practice Self Evaluation#1(Chem113A...

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