exam1_S13_ans - NAME KEY Examination 1 for BCH 463...

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NAME KEY Examination 1 for BCH 463 Wednesday, January 30, 2013 This examination is scheduled from 1:30 to 2:20 pm. The total number of points for this test is 100. Some Physical Constants h= 6.62 x 10 -34 Js ! = 1.05 ! 10 " 34 J s m e = 9.1 x 10 -31 kg m p = 1. 67 x 10 -27 kg c = 2.99 x 10 8 m/s 1 eV = 1.6 x 10 -19 J 10 Å = 1 nm = 10 -9 m a 0 = 5.29 x 10 -11 m R H = 109700 cm -1 For a one dimensional particle of mass m in a box of length L the wavefunctions ψ n (x) and the energies E n are given by: ! n ( x ) = 2 L sin n " x L # $ % & where n = 1, 2, 3, ... E n = n 2 h 2 8 m L 2 Some useful relationships cos 2 ax dx = x 2 + sin2 ax 4 a " d dx sin( ax + b ) = a cos( ax + b ) d dx cos( ax + b ) = " a sin( ax + b )
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A. General Questions (5 points each part; 35 points total) a) The peak of the observed blackbody radiation is at 500 nm. The measured data are expected to agree with classical theory for 1. wavelengths larger than 500 nm 2. wavelengths around 500 nm 3. wavelengths smaller than 500 nm 4. all wavelengths b) Why does quantum theory correctly predict blackbody radiation? 1. The relationship E=h ν forces the curve to zero at short wavelengths 2.The relationship E=h ν forces the curve to zero at large wavelengths 3.The relationship λ
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