davisnotes/lo_appdepth.html

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<title>Light and Optics - Apparent Depth - Physics 299</title>
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<h1><img src="ULPhys1.gif" align="texttop" height="50" width="189"></h1>
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<h1>Apparent Depth and Distortion</h1>
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<center><img src="celticbar.gif" height="22" width="576">
<br>
<br>
<font color="#ff0000"><i>"Give me but one firm spot on which to stand,
and
I will move the earth"</i></font><br>
Archimedes<br>
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<img src="netbar.gif" align="middle" height="40" width="100%">
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<br>
<ul>
<li>The depth of a swimming pool always <i>appears</i> to be less
than it actually is. &nbsp;This effect is due to the refraction of
light rays as they traverse the boundary between water and air.&nbsp;</li>
<br>
<li>In the following graphic, the chest appears to be closer to the
surface than it actually is. <br>
<div align="center"><img src="lo_apparentdepth.jpg"
alt="Apparent depth" align="middle" height="291" width="480"> </div>
</li>
<br>
<li>By using Snell's law and simple geometry it can be shown that<br>
<br>
<center><b><img alt="" src="lo_appdepth_eqn1.gif"
style="width: 389px; height: 116px;"><br>
</b></center>
</li>
<br>
<li>Spearfishing is particularly difficult due to the apparent depth
phenomenon !!<br>
<div align="center"><img src="lo_spearfishing.jpg"
alt="Spear fishhing" align="middle" height="290" width="389"> <br>
<div align="left"><br>
<br>
</div>
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</li>
<li>The discontinuous bending of a stick held partly in and partly
out of water is also a result of light refraction at the air-water
interface.</li>
</ul>
<div align="center"><img src="lo_BentStick.jpg" alt="Bent stick"
align="middle" height="199" width="202">
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<img src="netbar.gif" height="40" width="100%">
<center><span style="font-style: italic; color: rgb(255, 0, 0);">"Physics
is
like sex: sure, it may give some practical results, but that's</span><span
style="font-size: 12pt; font-family: &quot;Times New Roman&quot;;"><span
style="font-style: italic; color: rgb(255, 0, 0);"> not why we do it."</span><br>
Richard Feynman.</span><br>
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<img src="celticbar.gif" height="22" width="576"><br>
&nbsp;
<p><i>Dr. C. L. Davis</i><br>
<i>Physics Department</i><br>
<i>University of Louisville</i><br>
<i>email</i>: <a href="mailto:c.l.davis@louisville.edu">c.l.davis@louisville.edu</a>
<br>
&nbsp; </p>
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