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+\documentclass{exam}
+\usepackage{physics}
+\usepackage{siunitx}
+\usepackage{graphicx}
+
+\RenewCommandCopy\qty\SI
+
+\begin{document}
+
+\title{\huge{Exam 2023} \\ \large{Dynamics Large Scale of Atmospheric Flow}}
+\date{Time: \qty{2}{\hour}}
+
+\maketitle
+
+\begin{questions}
+\question State if the following are true or false
+\begin{parts}
+    \part Potential temperature is bigger at poles than at mid-latitudes
+    \part Warm advection is associated with clockwise turning of the wind field
+    \part Two potential vorticity anomalies of equal strength but opposite sign propagate parallel to each other
+    \part The ageostrophic wind in the extra-tropics is typically smaller than the geostrophic wind
+    \part Diabatic heating produces PV constantly
+\end{parts}
+\begin{center}
+    \dots
+\end{center}
+
+\question The Navier-Stokes equation is given as
+\begin{equation}\label{navier-stokes}
+    \frac{D\vb{u}}{Dt} + (2\Omega \wedge r) = -\frac{1}{\rho}\nabla p + \vb{G^*} + \vb{F}
+\end{equation}
+
+\begin{parts}
+    \part Explain each part of Equation~(\ref{navier-stokes}). Which are relevent on a synoptic scale?
+    \part How does the coriolis force affect air parcels at the equator with a velocity of \qty{10}{\meter\per\second} (a), at \qty{45}{\degree} with \qty{60}{\meter\per\second} (b) and at the pole with a velocity of \qty{0}{\meter\per\second} (c)?
+    \part How is the pressure gradient at these three points?
+\end{parts}
+
+\question A weather chart is given
+\begin{parts}
+    \part Cut drawn on map, draw vertical cross section with dynamic tropopause, isentropes and winds
+    \part How is the Q vector, where is ascent/descent?
+    \part How is the weather in norway?
+\end{parts}
+
+\question Diabatic cooling and heating (Some formulas given)
+\begin{parts}
+    \part Sketch a profile of $\dot{\theta}$ with a maximum of PV production at 3000m height
+    \part How does $\theta$ and PV evolve along a trajectory over of an air parcel ascending through a zone of evaporation cooling and then through a zone of condensation heating? Draw a diagram
+    \part How would it change, if the trajectory crosses the maximum of heating/cooling?
+\end{parts}
+
+\question Rossby waves with given dispersion relation
+\begin{parts}
+    \part Given formula for $n^2$, show that it follows from dispersion relation
+    \part Derive $U_\mathrm{crit}$ for $n > 0$ using the condition $0 < U_0 < U_\mathrm{crit}$
+    \part Why can't synoptic Rossby waves propagate into the stratosphere? Use the condition from above to explain
+\end{parts}
+
+\question Consider the wind field $\vb{v} = (u, v)$ in the domain $x \in [0,L]$, $y \in [-d,d]$ with
+\begin{align*}
+    u &= U_0 \sin(\pi \frac{x}{L}) \sin(\pi \frac{y}{d}) \\
+    v &= 0
+\end{align*}
+
+\begin{equation}\label{vorticity}
+    \zeta = -\frac{\partial u}{\partial y} + \frac{\partial v}{\partial x} 
+\end{equation}
+
+\begin{equation}\label{wind-change}
+    \nabla \vb{v} = \frac{\partial u}{\partial x} + \frac{\partial v}{\partial y}
+\end{equation}
+
+\begin{parts}
+    \part Sketch the wind field
+    \part Calculate vorticity using Equation~(\ref{vorticity}). Where are the extrema?
+    \part Calulate the wind change using Equation~(\ref{wind-change}). Where are the extrema?
+    \part Calculate the vorticity change over \qty{1}{\hour} with given formula using parts from b) and c)
+\end{parts}
+
+\question Eady problem
+\begin{figure}[hbt]
+    \centering
+    \includegraphics[height=5cm]{growth-rate.png}
+    \caption{Growth rate vs wave number (given without red annotations)}
+    \label{growth-rate}
+\end{figure}
+\begin{parts}
+    \part Explain the cyclonic development using less than 100 words and the terms \textit{tilted isentropes}, \textit{potential temperature anomaly}, \textit{intensification} and \textit{vertical coupling}
+    \part Explain Figure~\ref{growth-rate}
+    \part Calculate e-folding time for most unstable wave using given formula
+\end{parts}
+
+\end{questions}
+\end{document}