diff options
| -rw-r--r-- | blackbody_new.tex | 6 | ||||
| -rw-r--r-- | blackbody_prelab.tex | 24 | ||||
| -rw-r--r-- | ediffract_new.tex | 2 | ||||
| -rw-r--r-- | ediffract_prelab.tex | 4 | ||||
| -rw-r--r-- | interferometry_prelab.tex | 3 |
5 files changed, 32 insertions, 7 deletions
diff --git a/blackbody_new.tex b/blackbody_new.tex index 1066c1a..966020a 100644 --- a/blackbody_new.tex +++ b/blackbody_new.tex @@ -1,7 +1,7 @@ \documentclass[./manual.tex]{subfiles} \begin{document} -\chapter{Blackbody Radiation} +\chapter*{Blackbody Radiation} %\date {} %\maketitle \noindent @@ -145,9 +145,9 @@ power supply, meter stick. \end{figure} A point source of radiation emits that radiation according to an inverse square law: that is, the intensity of the radiation in $(W/m^2)$ is proportional to -the inverse square of the distance from that source, so that the intensity at the certain distance from the blackbody integrated over surface of the sphere of such radius is always constant. Mathematically, we expect the following relationship between the total power of the radiation source $P$ and the distance to the point source $r$ to be: +the inverse square of the distance from that source, so that the intensity at the certain distance from the blackbody integrated over surface of the sphere of such radius is always constant. Mathematically, we expect the following relationship between the total power of the radiation source $S_0$ and the distance to the point source $r$ to be: \begin{equation} \label{invlaw_theory} -S(r)=\frac{P}{2\pi r^2} +S(r)=\frac{S_0}{2\pi r^2} \end{equation} \begin{enumerate} diff --git a/blackbody_prelab.tex b/blackbody_prelab.tex new file mode 100644 index 0000000..522155a --- /dev/null +++ b/blackbody_prelab.tex @@ -0,0 +1,24 @@ +\documentclass[./manual.tex]{subfiles} +\begin{document} + +\chapter*{Blackbody Radiation - Pre-lab exercise} + +You can use the lab report template to prepare the submission of the pre-lab exercises. In fact, they will be a part of your final report. + +\section*{1. Theoretical graph} + +Making a reasonable assumption of the maximum temperature of the incandescent light bulb, plot the graph of its total radiated power $S$ vs $T^4$, using Eq.(1) in the manual. + +Choosing one value of temperature, plot the inverse-square law dependence of expected intensity vs distance to the blackbody. Think about what part of the graph should have more experimental points to accurately predict the correct shape of the curve. + +\emph{Reminder}: in all theoretical formulas the temperature is measured in Kelvins. + +\section*{2. Error propagation} +Find the expressions for the experimental uncertainties for $S$ and $T$ in Eq.(5), from the instrumental uncertainties of the voltage and current meters $\Delta V$ and $\Delta I$. + +Find the connection between the uncertainty of $x$ and $1/x^2$. + + + +\end{document} + diff --git a/ediffract_new.tex b/ediffract_new.tex index 5e727c6..cfbd126 100644 --- a/ediffract_new.tex +++ b/ediffract_new.tex @@ -1,7 +1,7 @@ \documentclass[./manual.tex]{subfiles} \begin{document} -\chapter{Electron Diffraction} +\chapter*{Electron Diffraction} \textbf{Experiment objectives}: observe diffraction of the beam of electrons on a graphitized carbon target and calculate the intra-atomic spacings in the graphite. diff --git a/ediffract_prelab.tex b/ediffract_prelab.tex index 77ecfa6..acf2e12 100644 --- a/ediffract_prelab.tex +++ b/ediffract_prelab.tex @@ -3,11 +3,11 @@ \chapter*{Electron Diffraction - Pre-lab exercise} -\textbf{Electron diffraction lab is relatively simple as the measurements go, but its data analysis part is more substantial than others.} +You can use the lab report template to prepare the submission of the pre-lab exercises. In fact, they will be a part of your final report. \section*{1. Theoretical graph} - Prepare a theoretical plot of Eq.(1.5) from the manual, using known values of the parameters and making reasonable guess on the range of the expected angles $\theta$. + Prepare a theoretical plot of Eq.(5) from the manual, using known values of the parameters and making reasonable guess on the range of the expected angles $\theta$. \section*{2. Error propagation} How you can find the uncertainty of $\sin(\theta)$ from the instrumental uncertainty of $s$? Discuss if the trigonometrical functions can be simplified. diff --git a/interferometry_prelab.tex b/interferometry_prelab.tex index b485fde..2c78515 100644 --- a/interferometry_prelab.tex +++ b/interferometry_prelab.tex @@ -3,13 +3,14 @@ \chapter*{Optical Interferometry - Pre-lab exercise} +You can use the lab report template to prepare the submission of the pre-lab exercises. In fact, they will be a part of your final report. \section*{1. Theoretical graph} Plot the theoretical dependence of the air refractive index on the pressure. Assume that in vacuum $n=1$, and at one atmosphere $p_0=76$~cm Hg it is $n_{STP}=1.000293$. \section*{2. Error propagation} -Derive the expressions for the uncertainty of the wavelength measurements, given by Eq.(4) and for the individual refractive index measurements, given by Eq.(5). +Find the expressions for the uncertainty of the wavelength measurements, given by Eq.(4) and for the individual refractive index measurements, given by Eq.(5). Discuss the strategy of reducing these uncertainty (assuming that you cannot upgrade the equipment). |