<meta name="keywords" content="Savchenko Problems in Physics, Savchenko solutions, physics problems, physics olympiad preparation, IPhO, Jaan Kalda">
<meta name="description" content="The motion of the beam on the oscilloscope screen is described by plots of x and y coordinates versus time. What picture will appear on the screen when au_y = au_x, au_x/3, 3 au_x? Consider the two cases (see figure 1.1.17). In case a, the horizontal lines are almost invisible on the screen. Why? At what ratio of au_x and au_y in case b is the trajectory of the beam on the screen closed?">
<meta property="og:title" content="The motion of the beam on the oscilloscope screen is described by plots of x and y coordinates versus time. What picture will appear on the screen when au_y = au_x, au_x/3, 3 au_x? Consider the two cases (see figure 1.1.17). In case a, the horizontal lines are almost invisible on the screen. Why? At what ratio of au_x and au_y in case b is the trajectory of the beam on the screen closed?">
<meta property="og:image" content="img/logo.png">
@@ -14,9 +14,9 @@
<meta property="og:description" content="The motion of the beam on the oscilloscope screen is described by plots of x and y coordinates versus time. What picture will appear on the screen when au_y = au_x, au_x/3, 3 au_x? Consider the two cases (see figure 1.1.17). In case a, the horizontal lines are almost invisible on the screen. Why? At what ratio of au_x and au_y in case b is the trajectory of the beam on the screen closed?">
<title>The motion of the beam on the oscilloscope screen is described by plots of x and y coordinates versus time. What picture will appear on the screen when au_y = au_x, au_x/3, 3 au_x? Consider the two cases (see figure 1.1.17). In case a, the horizontal lines are almost invisible on the screen. Why? At what ratio of au_x and au_y in case b is the trajectory of the beam on the screen closed?</title>
$1.1.17.$ The motion of the beam on the oscilloscope screen is described by plots of $x$ and $y$ coordinates versus time. What picture will appear on the screen when $\tau_y = \tau_x$, $\tau_x/3$, $3 \tau_x$? Consider the two cases (see figure 1.1.17). In case a, the horizontal lines are almost invisible on the screen. Why? At what ratio of $\tau_x$ and $\tau_y$ in case b is the trajectory of the beam on the screen closed?
</p>
<center>
<figure>
<img src="statement.png"
loading="lazy" width="320" />
<figcaption>
For problem $1.1.17$
</figcaption>
</figure>
</center>
<p>
</p>
<h3>Solution</h3>
<p>
<center>
<figure>
<img id="sol1" src="sol1.png"
loading="lazy" alt="1.1.17" width="200" />
</figure>
</center>
<p>
a) The return of the beam along the coordinate $x$ takes very little time, respectively, few electrons fall per unit length of the luminescent surface of the screen.
</p>
</center>
<p>
b) when $\tau_y/\tau_x = m/n$, where $m$ and $n$ are any integers.
<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> alex@savchenkosolutions.com <br></small>
<meta name="keywords" content="Savchenko Problems in Physics, Savchenko solutions, physics problems, physics olympiad preparation, IPhO, Jaan Kalda">
<meta name="keywords" content="Savchenko Problems in Physics, Savchenko solutions, physics problems, physics olympiad preparation, IPhO, Jaan Kalda">
<meta name="description" content="The motion of the beam on the oscilloscope screen is described by plots of x and y coordinates versus time. What picture will appear on the screen when au_y = au_x, au_x/3, 3 au_x? Consider the two cases (see figure 1.1.17). In case a, the horizontal lines are almost invisible on the screen. Why? At what ratio of au_x and au_y in case b is the trajectory of the beam on the screen closed?">
<meta name="description" content="The motion of the beam on the oscilloscope screen is described by plots of x and y coordinates versus time. What picture will appear on the screen when au_y = au_x, au_x/3, 3 au_x? Consider the two cases (see figure 1.1.17). In case a, the horizontal lines are almost invisible on the screen. Why? At what ratio of au_x and au_y in case b is the trajectory of the beam on the screen closed?">
<meta property="og:title" content="The motion of the beam on the oscilloscope screen is described by plots of x and y coordinates versus time. What picture will appear on the screen when au_y = au_x, au_x/3, 3 au_x? Consider the two cases (see figure 1.1.17). In case a, the horizontal lines are almost invisible on the screen. Why? At what ratio of au_x and au_y in case b is the trajectory of the beam on the screen closed?">
<meta property="og:title" content="The motion of the beam on the oscilloscope screen is described by plots of x and y coordinates versus time. What picture will appear on the screen when au_y = au_x, au_x/3, 3 au_x? Consider the two cases (see figure 1.1.17). In case a, the horizontal lines are almost invisible on the screen. Why? At what ratio of au_x and au_y in case b is the trajectory of the beam on the screen closed?">
<meta property="og:image" content="img/logo.png">
<meta property="og:image" content="img/logo.png">
@@ -14,9 +14,9 @@
<meta property="og:description" content="The motion of the beam on the oscilloscope screen is described by plots of x and y coordinates versus time. What picture will appear on the screen when au_y = au_x, au_x/3, 3 au_x? Consider the two cases (see figure 1.1.17). In case a, the horizontal lines are almost invisible on the screen. Why? At what ratio of au_x and au_y in case b is the trajectory of the beam on the screen closed?">
<meta property="og:description" content="The motion of the beam on the oscilloscope screen is described by plots of x and y coordinates versus time. What picture will appear on the screen when au_y = au_x, au_x/3, 3 au_x? Consider the two cases (see figure 1.1.17). In case a, the horizontal lines are almost invisible on the screen. Why? At what ratio of au_x and au_y in case b is the trajectory of the beam on the screen closed?">
<title>The motion of the beam on the oscilloscope screen is described by plots of x and y coordinates versus time. What picture will appear on the screen when au_y = au_x, au_x/3, 3 au_x? Consider the two cases (see figure 1.1.17). In case a, the horizontal lines are almost invisible on the screen. Why? At what ratio of au_x and au_y in case b is the trajectory of the beam on the screen closed?</title>
<title>The motion of the beam on the oscilloscope screen is described by plots of x and y coordinates versus time. What picture will appear on the screen when au_y = au_x, au_x/3, 3 au_x? Consider the two cases (see figure 1.1.17). In case a, the horizontal lines are almost invisible on the screen. Why? At what ratio of au_x and au_y in case b is the trajectory of the beam on the screen closed?</title>
$1.1.17.$ The motion of the beam on the oscilloscope screen is described by plots of $x$ and $y$ coordinates versus time. What picture will appear on the screen when $\tau_y = \tau_x$, $\tau_x/3$, $3 \tau_x$? Consider the two cases (see figure 1.1.17). In case a, the horizontal lines are almost invisible on the screen. Why? At what ratio of $\tau_x$ and $\tau_y$ in case b is the trajectory of the beam on the screen closed?
$1.1.17.$ The motion of the beam on the oscilloscope screen is described by plots of $x$ and $y$ coordinates versus time. What picture will appear on the screen when $\tau_y = \tau_x$, $\tau_x/3$, $3 \tau_x$? Consider the two cases (see figure 1.1.17). In case a, the horizontal lines are almost invisible on the screen. Why? At what ratio of $\tau_x$ and $\tau_y$ in case b is the trajectory of the beam on the screen closed?
</p>
</p>
<center>
<center>
<figure>
<figure>
<img src="statement.png"
<img src="statement.png"
loading="lazy" width="320" />
loading="lazy" width="320" />
<figcaption>
<figcaption>
For problem $1.1.17$
For problem $1.1.17$
</figcaption>
</figcaption>
</figure>
</figure>
</center>
</center>
<p>
<p>
</p>
</p>
<h3>Solution</h3>
<h3>Solution</h3>
<p>
<p>
<center>
<center>
<figure>
<figure>
<img id="sol1" src="sol1.png"
<img id="sol1" src="sol1.png"
loading="lazy" alt="1.1.17" width="200" />
loading="lazy" alt="1.1.17" width="200" />
</figure>
</figure>
</center>
</center>
<p>
<p>
a) The return of the beam along the coordinate $x$ takes very little time, respectively, few electrons fall per unit length of the luminescent surface of the screen.
a) The return of the beam along the coordinate $x$ takes very little time, respectively, few electrons fall per unit length of the luminescent surface of the screen.
</p>
</p>
</center>
</center>
<p>
<p>
b) when $\tau_y/\tau_x = m/n$, where $m$ and $n$ are any integers.
b) when $\tau_y/\tau_x = m/n$, where $m$ and $n$ are any integers.
<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> alex@savchenkosolutions.com <br></small>
<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> alex@savchenkosolutions.com <br></small>
