404 Interference of Light WavesP37.65For bright rings the gap tbetween surfaces is given by212tm=+FHGIKJλ. The first bright ring has m=0 and the hundredthhas m=99.So, t=×=−1299 5 500 1024 99..afejm mµ.Call rbthe ring radius. From the geometry of the figure at the right,tr r rR R rbb=−− − −−FHIK22Since rrb<<, we can expand in series:trrrrRRrRrrrRrtrRbbb=− −FHGIKJ−+−FHGIKJ=−LNMOQP=×−LNMMOQPP=−11211212122112249 10140011201732222126..mmcmFIG. P37.65P37.66EEijR=++=++LNMOQP+++LNMOQP1236300726004367243cos.cos.cos±sin.sin.sin±πππEijR−213770.±.±ER+−afat tan...−−−FHGIKJ=17 99 at 4.44 radThus, EtP799444.sin.ωradbg.xyE1E2E3ERFIG. P37.66P37.67(a)Bright bands are observed when
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .