INITIALS.docx - INITIALS:A SURNAME DLULANE STUDENT NUMBER 216004365 MODULE NAME QUANTUM MECHANICS MODULE CODE PHY31M1 TASK ASSIGNMENT 1 DUE DATE 30

INITIALS.docx - INITIALS:A SURNAME DLULANE STUDENT NUMBER...

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INITIALS : A SURNAME : DLULANE STUDENT NUMBER : 216004365 MODULE NAME : QUANTUM MECHANICS MODULE CODE : PHY31M1 TASK : ASSIGNMENT 1 DUE DATE : 30 APRIL 2019 LECTURER : Mr. ZOLILE W. DLAMINI YEAR : 2019 FACULTY : NATURAL SCIENCES DEPT : CHEMICAL AND PHYSICAL SCIENCES
QUESTION 1 QUANTITIES EQUATION IN TERMS OF (ħ, e ,c ,m , M) NUMERICAL SIZE Bohr radius (cm) a o = mcα a o = 5.290 × 10 9 cm Binding Energy of Hydrogen (eV) E = e 2 8 π ε o r E =− 13.6 eV Bohr magneton μ B = e 2 mc μ B = 9.274 × 10 24 J/T Compton wavelength of an electron(cm) λ c = mc λ c = 2.426 × 10 10 cm Classical electron radius(cm) r e = α mc r e = 2.818 × 10 13 cm Electron rest Energy(MeV) E e = mc E = 0.511 MeV Proton rest Energy(MeV) E p = Mc E = 938.272 MeV Fine structure constant α = k e e 2 c α = 7.299 × 10 3 Typical hydrogen fine-structure splitting(eV) Δ E = 4.5 × 10 5 1 x Δ E = 4.5 × 10 5 eV QUESTION 2

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