exam2 _S13A - NAME Examination 2 for BCH 463 This...

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NAME Examination 2 for BCH 463 February 27, 2013 This examination is scheduled from 1:30 to 2:20 pm. This exam is worth a total of 100 points. Some Physical Constants h = 6.62 x 10 -34 Js m e = 9.1 x 10 -31 kg m p = 1. 67 x 10 -27 kg c = 2.99 x 10 8 m/s 10 Å = 1 nm = 10 -9 m R H = 109 677 cm -1 e = 1.602 x 10 -19 C 1 eV = 1.60 x 10 -19 J γ p = 26.75 x 10 7 T -1 s -1 ! = 1.054 ! 10 " 34 Js ε 0 = 8.85 x 10 -12 kg -1 m -1 s 4 A 2 a o = 5.29 x 10 -11 m For a simple harmonic oscillator, with a spring constant k, mass m, and displacement x, the wavefunctions ψ v (y) and energies E v are given by: " v ( x ) = N v H v ( x ) e # x 2 /(2 $ 2 ) where $ = ! 2 m k % & ' ( ) * 1/ 4 and H o = 1, H 1 = 2 x $ , H 2 = 4 x 2 $ 2 # 2 E v = ( v + 1/2) ! + v = 0,1, 2... Listed below are the 1s, 2s, 2p z , and 3p z hydrogen atom wavefunctions and energies : " 100 = 1 # a 0 3 e $ r / a 0 " 200 = 1 4 1 2 # a 0 3 (2 $ r a 0 ) e $ r 2 a 0 " 210 = 1 4 2 # 1 a 0 $ % & ' ( ) 5/ 2 r cos * e + r 2 a 0 " 310 = 1 81 2 # 1 a 0 $ % & ' ( ) 3/ 2 6 r a 0 * r 2 a 0 2 $ % & ' ( ) cos + e * r 3 a 0 where a 0 = 4 # , 0 ! 2 m e e 2 E n = " Z 2 m e e 4 32 # 2 $ 0 2 ! 2 1 n 2 = " h c Z 2 R H n 2 = " 13.6 eV Z 2 n 2
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Multiple choice (5 points each; 50 points total)
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