s5 - PHYS 260 Problem Set 5 087r he 1 Bo(Z(F(T)WTT1(a By...

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Unformatted text preview: PHYS 260 Problem Set 5 087r he 1 Bo) :(Z)(F)(T)WTT1 (a) By differentiating the expression for R(/\), ShOW that it has its maximum as expected according - , to Wien’s dislacement law. (b) Integrate R(/\) over all values of /\ to obtain Stefan’s radiation law and show that: 271.5k4 ‘ .l 1502h3 0‘: Use he 2 MT and the definite integral 0° x3dx _ 7r4 0 (ex — 1) _ 15 r 1 1 ‘0???“ E 1 i j ' ‘ ‘ W ‘lkfiw ozfiflQWE’le 5MP Ll.) 311% ‘mk CK». WEI-au‘y' fm "1&de W W; ' r; ,3 .49 _ h: . “WW («1(a) :_%T—_? A W CLAS (WW > (an .9, WSW/r6 (Wt/M) W: gen-w- it; 1 ~V>ax :5“ A (sank/5‘ 9‘) I: E ELL/3‘ WWW/Wax»; ;; i L.)\_ . ‘ , : , j, , x3 WWW/g;- 5 NW WWWWWHW Adm "xII-"s(\i-W:" TL; ‘5? me‘lO‘L ; X * S ( I“ S: kE>E 1W5 ELIV 133:1;an ,firétf’m gufifififl Tbs W lee/démw EMA 159551 E3 Xi WE, m~h(€~‘ :36) émE’cEELLJ, 3W 3.; , @LCK ‘ fwa’ivg m? wihvya. W taffuwtza. lkk\§rfli4fi CL .3 E 3):} :wEdMKEWE W yhaaik Mam?“ ‘5": (SWGEA (MKSL Efl‘iE 10% 06E E f E $11, 11 \LAE'EVUYMGJLQ, WCM: MWU‘E7VC “(LL OEGLEUWL05 WG‘R 5‘3 Irl—l—l—r—l- Ell/)T-l—E- [Ir-[E II—flllllllll’f’Lllrll : : / : E 1 1.1:. -: 2. The universe is filled with thermal radiation, which has a blackbody spectrum at an effective temperature of 2.7 K. What is the peak wavelength of this radiation? What is the energy (in eV) of quanta at the peak wavelength? In what region of the electromagnetic spectrum is this peak wavelength? C L r 1?. 1.. lvlék lb, 2.1V M can wdyswflla cwmspmul; {Q Mariam ,WSLM-{Vaol ,m'Lw-CL LWx lwam/«auc Paul-112 1276 Mr; W& mates WW 3. When sodium metal is illuminated with light of wavelength 420 nm, the stopping potential is found to be 0 65 V; when the wavelength is changed to 310 nm, the stopping potential is 1.69 V. Using only these data and the values for the speed of light and the electronic charge, find the work function of sodium and a value of Planck’s constant. 1:" W ~1LL {mag ML" Lweemt 1114 Mllmm ' 4 RM 7— 1117 325 Law 39151 1ng 14.1.1.1..LLL11L1111LM1. Wak- KWX 6C. {LAC ”V‘t/DXLWM haw; 7»'C , 1 L, ,l 'l l , ,1 l: Pfimwgm ail flax; Hflflslrtoé wat‘g’kdkj ._ l . . ’ 1:11.11. 1411;. «:11: L111”; : 11.11 111; 141,111,; 1-: ML: l\ ‘ gfla‘tfiw .- LELLMLJXZL ; Wm L l C( l/QH ' l/F‘LJ L. G 41 x1e LEA/)5. r .Qfll‘mflligmtg ._ 1/63- ‘3 mm"? L- z 22 wow Lth: ...
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