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Unformatted text preview: Chemistry 30.102 Second Examination Spring 2009 Name (Please Print Clearly) Total l. (15 points) ,
(a) Light of wavelength 7t is shined on a metal surface with work function w. How wou1d you calculate the velocity of the ejected electrons? c v a Z,
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all/nut; “0"” U: y) riﬂe—w) (b) A baseball is pitched at Camden Yards with a mass m and a velocity v. What is the wavelength of the baseball? ' 3>=mv Ii
2‘13 (c) What leads to the quantization of energy in the particle—in—a—box model? @0920) : ’L!’(X=L) : C?
0mg Cev‘l'mn Waves LT Smlam‘w => “Lzmw H I f"
Score: 1 3 2. (15 points) Consider the electrostatic interaction between Ca+2 and 0'2 ions. (a) Sketch how the electrostatic potential energy varies with separation distance for a Ca+2 / 0‘2 pair of ions and an O‘2 /0‘2 pair of ions. Indicate in each whether the interaction is attractive or repulsive. Cotn 0’2.
" a‘hLmE/‘WC (b) What is the value of the potential energy (in kJ/mole) for each pair of ions if the ions are separated by a distance of 4 Angstroms? Score: ’ 3. (20 points) Predict the geometries of the following species; brieﬂy give your reasoning. (a) mi {paws ﬁeleo‘l‘mﬁ (SM:0’)
a 05m l’\‘€ AYOY‘ ‘ (b) M313 17 PM“ jﬁ'cd‘wm (3N3?) aTe‘I'ml/Mvd 6190mm SNMWVC
[9M STmo‘TMe ..._> pa ravvxiabl W40 <c>gPCl5 5 pmrs (0/ ﬂea/Trans (SAFE)
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_._> ’re'H‘al/ledmﬂ ((1) PCI; LJVV‘. v. 4. ( 15 points) (a) Give the ground state electron conﬁgurations for the following atoms: Li \sz 23
’1 7. Ne ZS 23 2Q) (b) What accounts for the special stability of the rare gases? £119.91 She“.3 Score: 5. ( 20 points) The wavefunction for the lowest energy state for a 1d particlein abox is I/i(x)= A sin(a'cX/L) . We will consider the case where L = 20 Angstroms. (a) How would you determine the constant A ? f‘l‘dx=g‘ fﬁwgoﬂx —_. 1
gobL ~£Of A (b) How would you calculate the probability that the particle lies in the range X = 5 to X: 15 An stroms.
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(Pa'obabélja ""7 ﬂax (c) What would the classical result be for the same probability treated in (b) ? Classical—é pwbabih‘la IS mmﬁwm .Q 5'5 :; 1.2» I
Ramada — 13—;— 20 4;; (d) Which would be greater, the quantum result in (b) or the classical result in“)? “We wmCmnc‘ln‘on Peaks MLXSID
So The yuan‘lmm Pmbm‘ox‘li‘la rs greater 4 A
Score: 5" U 6. (15 points). Plot the function 47Er2w2 for the Is, 23 and 35 orbitals of the hydrogen atom. HTYTZVI:
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Lfﬁf q(£25
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 Spring '09
 POLAND

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