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zddJd!l9)&a#7;@+oF{W+nk53Ns%<^C4D4A`pE#v!n=6ZuLj}0m$Zi9=P$K};cx6{jle&M zv_|2#-n4QsPE%_PrkK_mhuI9Z@-WRLAFT 0$ will produce force \\ % \end{wrapfigure} @@ -363,17 +364,21 @@ % ----------------------- \subsection*{Doppler effect} + When $P_1$ approaches $P_2$, each wave $w_n$ has slightly less distance to travel than $w_{n-1}$. $w_n$ reaches observer sooner than $w_{n-1}$ ("apparent" $\lambda$). % ----------------------- \subsection*{Interference} + \textbf{Standing waves} - constructive int. at resonant freq + \textbf{Coherent } - identical frequency, phase, direction (ie strong & directional). e.g. laser - \textbf{Standing waves} - constructive int. at resonant freq + \textbf{Incoherent} - e.g. incandescent bulb - \subsection*{Harmonics} + % ----------------------- + \subsection*{Harmonics} \(\lambda = {{al} \div n}\quad\) (\(\lambda\) for \(n^{th}\) harmonic)\\ \(f = {nv \div al}\quad\) (\(f\) for \(n_{th}\) harmonic at length @@ -397,6 +402,7 @@ \(l\) = distance from source to observer\\ \(d\) = separation between each wave source (e.g. slit) \(=S_1-S_2\) \item significant diffraction when ${\lambda \over \Delta x} \ge 1$ + \item diffraction creates distortion (electron $>$ optical microscopes) \end{itemize} @@ -448,23 +454,23 @@ \textbf{Work function $\phi$} - Minimum $E$ required to release photoelectrons. Magnitude of $y$-intercept of frequency vs $E_K$ graph. $\phi$ is determined by strength of bonding. + Minimum $E$ required to release photoelectrons. Magnitude of $y$-intercept of $f$ vs $E_K$ graph. $\phi$ is determined by strength of bonding. Units: eV or J. - $\phi=hf_0$ + $\phi=hf_0$ \textbf{Kinetic energy} E_{\operatorname{k-max}}=hf - \phi - voltage in circuit or stopping voltage = max $E_K$ in eV - equal to $x$-intercept of volts vs current graph (in eV) + voltage in circuit or stopping voltage = max $E_K$ in eV \\ + $E_K = x$-int of $V\cdot I$ graph (in eV) \\ + dashed line below $E_K=0$ ($E_K < 0$ is impossible) + \textbf{Stopping potential $V$ for min $I$} $V=h_{\text{eV}}(f-f_0)$ - % \columnbreak - \subsection*{De Broglie's theory} \[ \lambda = {h \over \rho} = {h \over mv} \] @@ -542,19 +548,12 @@ \textbf{Precision} - concordance of values \\ \textbf{Accuracy} - closeness to actual value\\ \textbf{Random errors} - unpredictable, reduced by more tests \\ - \textbf{Systematic errors} - not reduced by more tests - - \columnbreak - - \quad - - - - - + \textbf{Systematic errors} - not reduced by more tests \\ + \textbf{Uncertainty} - margin of potential error \\ + \textbf{Error} - actual difference \\ + \textbf{Hypothesis} - can be tested experimentally \\ + \textbf{Model} - evidence-based but indirect representation \end{multicols} -% \includegraphics[height=5cm]{graphics/em-spectrum.png} - \end{document} -- 2.43.2