Problem 14-8: Consider the diffraction geometry for =0 in the transmission method for determining preferred orientation and for =90 in the reflection method. Let tinf, be the infinite thickness required in the reflection method, and assume tinf,, is that thickness which would diffract 99 percent of the intensity diffracted by a specimen of truly infinite thickness. Let topt be the optimum thickness for the transmission method. a) Show that tinf/topt=2.30tan. b) If the thickness t of a transmission specimen is 2topt by how much is the diffracted intensity decreased