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EEE460-Hmwk2-Solution

EEE460-Hmwk2-Solution - \“w’ 1 = i i 2 Consider an...

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Unformatted text preview: \“w’ 1 = i i 2. Consider an electron in the first Bohr orbit of a hydrogen atom. (a) What is the radius (in meters) of this orbit? (b) What is the total energy ( in eV) of the electron in this orbit? (c) How much energy is required to ionize a hydrogen atom when the electron is in the ground state? C)“ 4—“ 4hr) Value 625ch! W *5 I “Phafii Canaan/an or: [00}? 5—5 3i? i3.é€)é EV/ A é- 4—51‘5 value a: reayA‘M/{LI-Q , , “Finer-l- on 4413 if? 9+. PQJ? 3’6 F533 75 IODIZE 4-142 e/eowlwoflJ—ram 50:] 40 90 == /E>/ 3 What photon energy (eV) is required to excite the hydrogen electron in the i g . g , . _'__‘ 1’ V 2 2—(21;79gx/o 3X1 63217646 10‘ J‘st l innermost (ground state) Bohr orbit to the first excited orbit? ‘ __ -‘ __ ”Me fie$ We guse [:79 (36$) 5,, "‘ W 2:1 1+ Eexcfaée — 52.31:!“ 8621021‘ ”/27 éro anal swig-Fe 1‘5 177/ =1 F1151: 65431:;60“ S'rLafiLe is 5’72. : 2 l + 1109—3ng 10 3U: (f 130217551210 ”cl/“P c‘ '3 re (8 954/88x/O ’32,; (g; meow 633313) (3)317 .9. l e V 6 é3‘f‘2x i0 16T>6W5021"*’:7_mé5x/0“’3JD =1 1 00 90 e V] ' i l i i 1 i i 3 § § {5&2 i g 1 i l i i ‘ ‘ “1“ng / E g § § i = § . , jfi‘S‘s Kroc—£20” ILGJVZ : N [Ll/“ID 6. From the difference in mass of a hydrogen atom (Appendix B) to the mass of a proton and an electron (Table 1. 5). estimate the binding energy of the electron in the hydrogen atom Compare this to the ionization energy of the ground state electron as calculated by the Bohr model. 'What fraction of the total mass is lost as the electron binds to the proton? 7% I; fiofifii§63 Q I mp: Ioo727é45269 ma = 5‘1465799x104' =<mp +1006} M[H—I_) (1.90072 764634 3: 4 8 S799,< i044) - (I 1507 8:503; i) = [.47x/Dve amu BE: ALI—‘7x f0 gomuj/qs’l "5 M3): II3 r593 eVi From prabiem «'2 anal “Hie 419p 67E [0436 54', af-[qe Maritza—Hon .emerjy :5 i3 éQé eV Am /.47x 10"8 $0078 5? 3032/ S 3 § § ‘3 i é g i § § :2 § g E s (“flux \ \ \_/,» s M,~M;W_ A ,, ,g. _, ,u , 1. Complete the following nuclear reactions based on the conservation of nucleons: 2. Determine the binding energy (in MeV) per nucleon for the nuclides: (a) 130, (b) IgO, (c) ggFe7 and (d) Zgg’U. uMgEg. (M): gtflx5gfimo (4—2));4 jVflko== 1007825032 7: (aflofiééfiqlé 111W5mm1‘:WWWWW‘KVWWM/IrW/I/IMVIVMVAIIIMWMVA/mwl/wfl , g - rays I § ' " i i 3. Calculate the binding energy per nucleon and the neutron separation energy for 130 and 1g0. ' "Khiwwiuéhvwazwmwuwm wwwu‘wm‘m wnaammmwwfl I IS’E =[(g)(};oo 782 so3zb+flé_8}(/,oa 8649'— 9233 -— [519?4-WCf622 [jama (923/5 (+94 Newmq) /_’Zé : :7‘Ci7é Mev Fénvnuojéefl Q gn (cu—tar) =[(/s.ooaoéséf + we 86H9233)— i \ (/5,Q9%9[4é§2f>jczma (13/..‘1/‘79‘ MFVflm") ={150éé Nev; I G‘gfi/fi? )7 ” ‘2 ‘ ($35?" '91 /i:~ r5“ fir/i H I; 55’ :KZ MH—/+Nmfi>_flfm jcz“ (5%“ Lia/,2) i J i i 3 i i ..., E i i i i E 3 i i i 1 Far I; O f, ff = [(QYWOWQSMQI)+(/7—8>(/1ooeéé*+ 9.233) -. awe/3x50} mm, (73/647‘94 NewamaQ/z7 : 7,751 MeV [oer "NC/5"” x Sn[€)“i7):[(/S-79‘+?V+622/ + /‘@@géé¢9,733>_ (/é.799/3x5e)jwu [93/5 9;qu- Mév/amu) = 44% Mev ,‘ (”N ‘ E ' ' E - ’E ‘ . C1701 WWWWWW 7 .... -2... ... W. , WWW-..W--...W-WMW£. E 5. A nuclear scientist attempts to perform experiments on the stable nuclide 32 Fe. 7 E ' g Determine the energy (in MeV) the scientist Will need to E E 1. remove a single neutron. E E 2, remove a single proton. E . I E 3. completely dismantle the nucleus into its individual nucleons. : E 4. fission it symmetrically into two identical lighter nuclides §§Al E 5-: ' E 33- - ' E (5") F e .2" o n + .22." i‘ e , E ”5,5113 E?¢ (4a (:3) /_ “Iv—A £~ S elf) q fdian 346,277 WCQJEJ [:5‘ E E §“[M5 gaffe +m - M frefla'g , E E E E :LS‘f 738298—1—[OOBééfi92-3-SSG3‘7LW’Qj93/S E E ii. 20 Me V ' - 5g, ,_ : i 5'5 . E 1(5):.7165‘3 (194-25 M” E C(Sth E9 ['4‘ f5)/ Me sepam+ion emery] neéo’é’j 13‘ E E SP*[M(.: ”hf/“46%) MC. Fe) <- ' , E Prfse. 738099é+h 00782563— 53 3349421’ 33%.? E films MW { ECG) I A; gaff/7c £3 hcfin enerj 2296 4H”: mac/ear 691/} gr E 9 Luiwr/Ied 43/6544 Jéyc (“jg/a) . _. :2 E ’85: L2 M({’ #)+ (A 2)m,, M a Page“? E :1 E9é>(i. ea782503>+ +(5é3wJLé‘Jfl :08563/92) E _~Ss 934343.21] 93.15 E -_= - 4+9 2. 2 e: M. v ~ s—é- _ . - I .29 . . E '- E . 18 E _ Us :43 E: (4, 53- E c2 [M( -— 2 M 554/)j22 ; =[552CM 734942/ — [2)(27; 3 819 102)] 3 33/15 : mewmuuww S S 7 memr Wmmwwwénwmwfimw 6. Write formulas for the Q-values of the reactions shown in Section 4.4‘ With ' these formulas, evaluate the Q-Values. , +mdj-7Z‘X4/i759-Fmpj‘gég - [at OO3O7‘IL-f—Lpgggéogj, fié.?99/3i§+ioo7% @963? . wee n): a “” ’9 “5V” (Q SLMW>+MSJ [Mn + "7””ch S S S S S S S S S S S S S S S S S S S S S S S S S S/7ar2é MESS] 62 S17 +>M§J [M WNM/“QJS * g , 2512999135] [[email protected]fié03+123i(93i5)~"fl 3N7? S S(“/ P)” MD %a [m/ P>7 [IS/V S '&3 SE4 é©)+m:7/V 5”}? M I7SNZ7§52 :?[5?7‘SL9I§+/ 0086653~EOO7€25+ l‘é OOéIOIj§(93/SD S S S S S S S S S S S S S WWWWWWWWWMMWN “mum‘gm m... a. Mm”, l 7‘ What is the Q-Value (in MeV) for each 0f the following possible nuclear reac- I ~——-—~————~— tions? Which are exothermicvand which are endothermic? , ‘ E A . , . .1 Afaécl 429 ago! 1(5)]3+7 ‘ 1/; e/2c4far7 218+ng l ‘ » M X 9B 1 ‘ CMCl m 5&6 43 ‘4’ 1p + 413e —’ :36 + £1 I' “H“ l3 Cm -\ (1/ 4 e +1 #31 “MM . ZBe + §H afi-m gm + §He mmmmmm SQUAH SQUAR SOUAH SOUAR mmmmm [FILLER 5 ‘ YE~EASE§fl D WHITE D WHITE muJuJuJ 31 an < “H uJ > ‘ YE-EASE' 4% Q ‘2‘ Egrefihflfi” Mmgucajé" 25”“ 5’)?“ MK: 39/“7 firm c2 Li¢w7891§€33+galgi801lhMfr‘gd'YC { [23, 513007/ , M “3 58:16 gafizaaeaw - iala/mfi] {was/2113 =/ 6.38 é ‘;xe-f-/}er~mf‘¢ Cg) Q: 5&63600‘7f «(3 5’)~mfljeégamoomi-fiol's’jgewibaagésjfl? zsfi 4— A, 851 M: . Madein UV 3. A. u... ‘ \3 (3) garmli r‘gaC‘Laa'vé” 4775/ pracgqéfifif/ 5“? (Q t (34;; éfi) <3? =Eaaozzaos7l—l fur/A? EC) .. M ‘1 HEB g, =Eaaozoeo7i —= 9350 5303i — 2.0/4 blfijéfifisfi a V] cxc‘zLA arm r‘c I] («:59 :[a {DEZCICDGTW— WC: Ee>=~ M (j/H)j {93/ 5‘) &“L/@ @238C57l‘ ~ 20169292— 30/g04937fi32 5‘) H H ‘f.iQ.C}E§3 [email protected]_ andre'v‘I-leermr‘c (if-‘1) (3i :‘5anc’3250a’7/ ~ M [f ,_:) - M (if yQJ/qggs) a I“ ‘ ~> L /0.0;[email protected]/ ~ éaQIS‘ i223 ,. 4.00160325:7 [dag/,5) ”é :l 52 Me V ékd‘f‘hter/C; l 1 E E E E mmm‘m‘ WU : 1 m... \1 / mi 9. What is the net energy released {in MeV) for each of the following fusion reactions? (a) §H + §H —2 3H6 + 6n and (b) gH + i‘H —> 3H6 + 5n :2, 62 f :2 [email protected]—2)- Mue~s>+mnflc .: E _(;Z Df‘FEOIé) (3.0!6092934— j OOBéé-Sjj 93/ 3. MeV amt/ 62) &= [IV/(H 2)+ NO! 3)—~ (#4614: 4) +mg):]_¢1 =- 2 01410184 3631504?—(+ooaéo3.2+1ooaééS’DJ‘U/SW , #9:] 6V- $31: 5 ...
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