(d) The next one can be found to be α= 4.493 rad. (e) For = 4.4934, m= 0.930. (f) The next one can be found to be = 7.725 rad. (g) For = 7.7252, m= 1.96. 15. (a) The intensity for a single-slit diffraction pattern is given by IIm=sin22where is described in the text (see Eq. 36-6). To locate the extrema, we set the derivative of Iwith respect to equal to zero and solve for . The derivative is dIdImαα=−23cossin.bgThe derivative vanishes if 0≠but sin = 0. This yields = mπ, where mis a nonzero integer. These are the intensity minima: I= 0 for = mπ. The derivative also vanishes for cos – sin = 0. This condition can be written tan = . These implicitly locate the
This is the end of the preview. Sign up
access the rest of the document.
This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.