Problem $39.$ Repeat the calculations in parts $($b$)$ and $($c$)$ of Problem $38$ using $x-$rays with

$=0\mathrm{.}154nm.$ Assume a circular detector $10cm$ in diameter is located $2$ meters from the

specimen. $($This sets the angular range accessed by the experiment$).$ Note this type of

instrument will have a small beam stop $($ assume a circular piece of lead $3mm$ in

diameter$)$ that blocks the direct intense $x-$ray beam from hitting and damaging the

detector. Include this feature in your calculations of relative intensities versus $q$ for the $-$

solvent and collapsed spherical particles. Explain why such SAXS measurements allow

for the discrimination of particle shape and radial density distribution.

Note: For $x-$rays, the effective refractive index is $1.$