385final03 - PHYS 385 FINAL EXAMINATION Name Student...

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PHYS 385 FINAL EXAMINATION Thursday, 7 August, 2003 Name_____________________ Time: 3 hours Student #__________________ Calculator and one formula sheet permitted Please show complete solutions to questions 3 to 6; explain your reasoning. e = 1.6x10 -19 C h = 1.055x10 -34 J-s k = 8.99x10 9 N-C 2 /m 2 m nuc = 1.67x10 -27 kg - exp(- y 2 ) y 2 dy = √π /2 - exp(- y 2 ) dy = √π **************************************************************************************************************** 1. For each of the following questions, please circle one selection for your answer. (15 marks) (i) If the potential energy is independent of time, then the time-dependence of the wavefunction is (a) exp(+ iEt / h ) (b) exp(- iEt / h ) (c) zero (d) Et / h (e) none of [a-d] (ii) The expectation of the momentum operator < p > for a freely propagating particle is (a) m d < x >/ dt (b) zero (c) m < dx / dt > (d) mv (e) m d < >/ dt (iii) In the Bohr model of the hydrogen atom, the orbital radius changes with quantum number n as (a) 1/ n 2 (b) 1/ n (c) n 0 (d) n 1 (e) n 2 (iv) For Coulomb wavefunctions with principle quantum number n , the maximum value of the orbital angular momentum quantum number l is (a) n (b) 0 (c) n + 1 (d) n - 1 (e) no constraint (v) A particle with energy E
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