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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
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: : / : 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'LwCL
LWx lwam/«auc Paul112 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
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 Fall '10
 DavidHanna
 Physics

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