Midterm2_solutions

Midterm2_solutions - Al. ( 6 pts) Water doped with the...

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Unformatted text preview: Al. ( 6 pts) Water doped with the radioactive isotope 15O is used for brain scans. It is a [3+ emitter with a half life of 2 minutes. The initial sample has lOpg of 15O in it. (a) How many 150: atoms are present in the initial sample? (make a sensible assumption for the 150 atomic mass .... .. like 15g = mass of] mole of [50!) “a ... a», I' .“u .- ;: I..‘ I is .l- a ‘ a“ a to E x 1“\ #1:.” III‘ III;I \I {33.3 I I gig... .II. if x . I I; I I” I -" ‘1 a f - x: t . “II A": {'3- ‘g J‘s i \ a 1 “'6 Ln.) 4” i S“; ‘" ‘9'” ' * ' a“: {F v a.) (b) What is the initial activity of this sample? I i” r» ‘ a” " €3- 1: .. I. 1" . "'5’ . as)” Q' ‘\ I, s E ' J “3 7.4L ‘I 2-. " - 27".. -- I " E' I" ,3... :0"- 1‘9‘ Q I 1 E ' '- I affine ‘13" :3” a-zl'3‘lx'0 mm © What is the activity of the sample 30 minutes after it is produced? I_ f‘ ‘ of bi-‘I .'I, It” 2- l ' I v .- . : LP.2IL,X{O mm 11-10 S (3...; if ‘2 (.l i (“J E' a "t «a? A T9 “l” 2:2: l"-'-'° £717- T’ g cram M c (m: i i ' 7* A2. (4 pts) Calculate the binding energy per nucleon for 73Li (7.016003 LL) in McV, if the mass of a neutron = 1.008665 u and a H atom = 1.007825 11. (Note the H atom mass contains the necessary electrons. Also note u = 931.5 MeWcz) "at ID} i. ." h 3. Q ‘r F ' -‘- -| -' I ' I '\ . " -. "-n‘YI ' ’ I v t I F, ' \-. . ‘. I I“ i .. . I. a. r a t: l - (Joy-“*5 1 a: "CT "" *" \ . III. 3 'I‘t : \ s I = 1 ‘ A“ I. 1 ‘ A. E l E I I.- t I P ' r i l , l ‘ _L .. ..III. I ._ . 21'- B 1. (4 pts) A neutral atom of magnesium has 12 electrons. (3) Write down the standard electronic configuration for the Mg atom. a, a '3... .w, ii- i? - e3” -’ g C) 33‘ 3i W'_ (b) Now write down valid quantum numbers (n,l,mi,m5) associated with the outermost or last three electrons in the Mg atom. F I 5; } I a: F 4r \ Elcc#10: loyal“ ‘5 fit. 6W5!" f" '3 3‘“ ii ‘3‘ ~ “i " l} “‘3 ’ Elec#ll: \ ta}- gl (but... tun . + '43:“; Elec#12: "2‘ (“16.2. if" "d l 3 {I} “m ‘9‘; 32. ( 2 pts) Write down the 4 (or 3 if you want to be fancy) fundamental Forces in nature a 3% ii 2.} ‘Mfi‘s.{lf'\ii‘\fli gig: i. j; 5‘ I'd-1' r. . . A . ,. r“ .3; ‘I . .. f wt 6 .5} toe-J {in} Shift {7:} -' \‘ l" _ ~ ‘ . : ..- : ‘-_‘_ <_ a. 3 “ix .h...‘ '5 '---' 5-" 3- -- ‘1 ~ I B3. (3 pts) Can the following reactions or decays take place? The answer es 0: no alone will not receive credit. Explain your answer. (Assume there is enough energy for the reaction to happen.) a) p —b e' +\.’e .. .I i ,, . 3-H, .. a w i (H “auger-«5 6 Av I I 5 o N O J .y v i. «W 3.} {an}. “E . W 3:? E t nu} _ 1 g l... e m t +- s v E. h) p+p ——Pp+n+7t++1tu+7t‘"+7rl (sheaf, +1 M w-‘s +~t+o+ 14 o --t +1 +1.“ g a; I + t we I M + ea or. (Ti-4:1} a: rd. J: M Li . L) mJtTh _* zmasRfl +25- M‘: -- [IQ l w . f n "’g RH 3?D—---31W**i1- >~ RQENCN Q y 0‘0 - a “at rt :2 v‘ _ C1. (4 pts) The characteristic energy of rotation Eur for the 0; molecule is 1.78 x 10—4 eV. - (a) Calculate the wavelength of the photon involved in the transition from the l = 3 to the I = 4 rotational level of this diatomic molecule. . at- f .: ' E E ‘ 1 w__.__. ... .. _ I g.— I a“. 3:" i «,1. 1 ( I} 3-: I_ :__ u ‘ :11. i: '-: a ’; ,.-"‘ .4' l. x» .- £1 ~ 1! ' s a r 3" ‘- . _ __ ‘9 1:. 1 "k I PH } 5 I. {of u ‘ ¥ “.0- \n “H J' "‘ K I. A. a: r w -- 1 - - 4-. a: «ii-- ‘6 , marlin; . .- ._ M. i CB. (3 pts) What are the numbers of protons Z and neutrons N in the fragment X of the following fission reaction? (In the reaction 11 = neutron and X is the fragment. The atomic number Z(U) = 92 and Z(Ba) = 56.) 235 - - 13? . (ln+ U)f1331onsto( Ba+X+3n+mg) ._., .nl ‘ . (=4). ¥ \: t a - y I W rug x? } {fix I. i {\J’K 1;? I,“ _ K) m '\ 2" I i" an“ _ - -- " x, ’ a i t 5' F r — «0- .a #p a 9c: + w .. ~ -— _ ‘1 p _— m , _ -. n... «i u. n.“ g h P 1V lx‘fi. :2: u‘! i 'u h} is A J :v e I 1‘- ‘: I: N a ‘4.» ' I ( 1 v a '3: 3?. l a x - l .. _ \_ it n. :- WW“ “wit T. v 2‘. " fig i ‘I ‘3' '1 "~ . \f .' _ a .2 "a - , h r w 2 ’ )f‘ ‘ ‘ _ .i “a; at C3. (1 pt) Who is your favorite all—time Band? ...
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Midterm2_solutions - Al. ( 6 pts) Water doped with the...

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