class21lecturenotes

class21lecturenotes - Class 21, Monday, March 1, 2010...

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Unformatted text preview: Class 21, Monday, March 1, 2010 Reading: 32. J (mIl.JJ %t<M/:)~' ) + "t'r (,R..,~VJijJ fiwd ) Review from last class: - ~i~ dH ~ /~ ~ t:h clJuJ6 J1&r f'~PI~.' I~ "1;" ~/iitf-'1~) 1/~v'k~ ~ "/let.. ""1- I::. ~ I;, tV' t4t ~r ~ A b"'j4f fo'~ .. /tCIUVU ~14: 7J-L 1: Ii p./ th auP r f a. ~ /riMy.J ~r~ Jln_-{.ln-f-')~ l.- 01 - /)'Ii~cA';fA yd./U)f: ;Y ;W;.f/~ /,r /U{h1A c> d::; " t:tJIau,,~ <. t'.:Jvw~'v~ ~ ...h,=", _ /1M_Ii J /t.L C l /J tt, 11'''''' in;,! k. J.Y-~~ AM :; 121-1 =:.:.,c:- ~ VI<. e!. / /I :' &, I, IJ o - ~:rItM1.a UtA I(,IU/ ~fM ~r ,ft 1 - I} " f4 n;M f{My'l!" ~ l t.u 8". (1,&, /,l, '''' E /tJAK/jMM.MA ~t/~ (uabr t/ j/ljv'" /vI,,?)- I/I.IlIV:;' II Io / ~'" 1/11 ~h .::. (.2n+I)..l- \ L d Rt,7i.u (JI 'f 1\ .: f tau tJ i'L !r/vlj-0 flye yrf41 r '" (AM ~ til'" & - .d// ~ ~f ~D it nl,l?fArlr /(MJfI"IP CJtvu,ini./,~i1) 21, I We ended last class with an example and the following question: Given two experimental setups, one involving a doubleslit and one involving a diffraction grating, which one will have a better resolution of two very close wavelengths? We picked the Sodium doublet, "'1=589 nm and '-z=589.6 nm. What does resolution mean? How far apart are two bright fringes of a given order, n. on the screen? Are they even separated well enough so that they can be seen as two distinct bright lines? Double-Slit Ojffraction Grating ~= L ~ ~11. I/h Un ~ /J j ~ ~n: ~ft.( /lt) r/::: ~ :) t7n ~ a~ul'tt{n-fl~) Ph -= ",utt-W (n;";';\,) =) $In, ~ L ~ tin/ Py n -::. I L=lm J /=(J.YUtfl./: .I I /Jill. ... ~YC~(n.I'f.AL) 1:) Yn~:: L ~tfhz. 'ft.;;- 'In = / IJf' /J. 6' ./p-f/tt j J foi' II:: I~&{) ./tUtA / ItUM.. 4. n:. / p.ft'/U ~ =) t1, = MC,;w' (ICJtJ O . JI7'1()-~::: I lo-J(,tA. :: atC.ftk( p.rl'!) :::J(.ol{# ~ / ItXJ Q J/'l 6 -It) -7/,A.{ )::. 2. e a rcSiM C/~-11M. . o :: arcSMA (tJ.rJ9().: i/.12/ =') J,: 11M tit,u (lb. oK;: (). 111/ m.. Vz..;: 1'J14' ~ (J(: 121''1 = (). ;.l19( Ut... .-:.) 1z-'/, = 1.16/0 -JIM, [lIb;Ul1M. J ;; S1 tkf/')vt : Tiu tit/lrlfcA"lC<. 7aA~ ~rtlle6J Il~ t~ t/oul:l ~a~'" In"j6f Piw> - _ ~ 'dtil" It. a<-t. a;, 11',;<44 ~t' / Itt 1,,1,1, /J .; t( ft..t IAI. )(1", 4 _L ~rA 6;?'~:Fir %tf "--A7; Ii cdLt,t. dt{~~rfl(}YI... I" a,vJ4 /-- 2 ftf,l J/ly d . j,/Ad 15 //w /t1U~11 for tIu-y /;dftr f'n'~; . ll, 2. One most useful application of the diffraction grating is the spectroscope, which you have used on numerous occasions in your chemistry labs to analyze the composition of substances whose atoms or molecules are excited to emit electromagnetic radiation corresponding to the allowed transitions of the electrons within these atoms. For example, in the visible range of the spectrum, Hydrogen gas has four emission lines....
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class21lecturenotes - Class 21, Monday, March 1, 2010...

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