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@katyhuff
Last active October 8, 2020 14:52
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% use the answers clause to get answers to print; otherwise leave it out.
\documentclass[11pt,answers,addpoints]{exam}
%\documentclass[11pt]{exam}
\RequirePackage{amssymb, amsfonts, amsmath, latexsym, verbatim, xspace, setspace, mathrsfs}
\usepackage{graphicx}
% By default LaTeX uses large margins. This doesn't work well on exams; problems
% end up in the "middle" of the page, reducing the amount of space for students
% to work on them.
\usepackage[margin=1in]{geometry}
\usepackage{enumerate}
\usepackage[hidelinks]{hyperref}
% Here's where you edit the Class, Exam, Date, etc.
\newcommand{\class}{NPRE 247}
\newcommand{\term}{Fall 2018}
\newcommand{\assignment}{HW 8}
\newcommand{\duedate}{2018.10.19}
%\newcommand{\timelimit}{50 Minutes}
\newcommand{\nth}{n\ensuremath{^{\text{th}}} }
\newcommand{\ve}[1]{\ensuremath{\mathbf{#1}}}
\newcommand{\Macro}{\ensuremath{\Sigma}}
\newcommand{\vOmega}{\ensuremath{\hat{\Omega}}}
% For an exam, single spacing is most appropriate
\singlespacing
% \onehalfspacing
% \doublespacing
% For an exam, we generally want to turn off paragraph indentation
\parindent 0ex
%\unframedsolutions
\begin{document}
% These commands set up the running header on the top of the exam pages
\pagestyle{head}
\firstpageheader{}{}{\makebox[0.5\textwidth]{Name: \enspace\hrulefill}}
\runningheader{\class}{\assignment\ - Page \thepage\ of \numpages}{Due \duedate}
\runningheadrule
\class \hfill \term \\
\assignment \hfill Due \duedate\\
\rule[1ex]{\textwidth}{.1pt}
%\hrulefill
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{itemize}
\item Show your work.
\item This work must be submitted online as a \textbf{single}
\texttt{.pdf} file through Compass2g.
\item Work completed with LaTeX or Jupyter earns 1 extra point. Submit
source file (e.g. \texttt{.tex} or \texttt{.ipynb}) along with
the \texttt{.pdf} file.
\item If this work is completed with the aid of a numerical program
(such as Python, Wolfram Alpha, or MATLAB) all scripts and data
must be submitted in addition to the \texttt{.pdf}.
\item If you work with anyone else, document what you worked on together.
\end{itemize}
\rule[1ex]{\textwidth}{.1pt}
% ---------------------------------------------
\begin{questions}
% ---------------------------------------------
\question (Shultis \& Faw 6.17) In a particular neutron-induced fission
of $^{235}U$, 4 prompt neutrons are produced and one fission fragment
is $^{121}Ag$.
\begin{parts}
\part[5] What is the other fission fragment?
\begin{solution}
\end{solution}
\part[5] How much energy is liberated promptly (i.e., before the fission fragments begin to decay)?
\begin{solution}
\end{solution}
\part[5] If the total initial kinetic energy of the fission fragments is 150 MeV, what is the initial kinetic energy of each?
\begin{solution}
\end{solution}
\part[5] What is the total kinetic energy shared by the four prompt neutrons.
\begin{solution}
\end{solution}
\end{parts}
% ---------------------------------------------
\question (Shultis \& Faw 6.18) Consider the following fission reaction where $^{90}Kr$ and
$^{142}Ba$ are the initial fission fragments.
\begin{align}
^1_0n + ^{235}U \longrightarrow ^{90}Kr + ^{142}Ba + 4 ( ^1_0n ) + 6 \gamma\\
\end{align}
\begin{parts}
\part[5] What is the fission product chain created by each of these fission fragments?
\begin{solution}
\end{solution}
\part[5] What is the equivalent fission reaction taken to the stable end fission products?
\begin{solution}
\end{solution}
\part[5] How much energy is liberated promptly?
\begin{solution}
\end{solution}
\part[5] What is the total energy eventually emitted?
\begin{solution}
\end{solution}
\end{parts}
% ---------------------------------------------
\question (Shultis \& Faw 6.21) An accident in a fuel reprocessing plant, caused by improper
mixing of $^{235}U$, produced a burst of fission energy liberating
energy equivalent to the detonation of 7 kg of TNT (4.2 GJ/ton = 4.6
kJ/g). About 80\% of the fission products were retained in the
building.
\begin{parts}
\part[5] How many fissions occurred?
\begin{solution}
\end{solution}
\part[5] Three months after the accident, what is the rate (W) at which energy is released by all the fission products left in the building?
\begin{solution}
\end{solution}
\end{parts}
% ---------------------------------------------
\question (Shultis \& Faw 7.1) A broad beam of neutrons is
normally incident on a homogeneous slab 6-cm thick. The intensity of
neutrons transmitted through the slab without inter- actions is found
to be 40\% of the incident intensity.
\begin{parts}
\part[5] What is the total interaction coefficient $\mu t$ for the slab
material?
\begin{solution}
SOLUTION HERE
\end{solution}
\part[5] What is the average distance a neutron travels in
this material before undergoing an interaction?
\begin{solution}
SOLUTION HERE
\end{solution}
\end{parts}
% ---------------------------------------------
\question[10] Based on the interaction coefficients tabulated in
Appendix C, plot the tenth- thickness (in centimeters) versus photon
energy from 0.1 to 10 MeV for water, concrete, iron, and lead.
\begin{solution}
\end{solution}
% ---------------------------------------------
\question Consider two adjacent infinite homogeneous slabs numbered,
from left to right, 1 and 2. The slab thickness and total interaction
coefficients are $t_i$ and $\mu_i$ (i = 1, 2). Normally incident on the
left slab is a beam of gamma rays.
\begin{parts}
\part[5] What is the probability a gamma rays has its first interaction slab 1?
\begin{solution}
\end{solution}
\part[5] What is the probability a gamma ray has its first interaction in slab 2?
\begin{solution}
\end{solution}
\part[5] What is the probability a gamma ray penetrates both slabs without interacting?
\begin{solution}
\end{solution}
\end{parts}
\end{questions}
%\bibliographystyle{plain}
%\bibliography{hw01}
\end{document}
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