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	<title>Year 1 Sem 1/LC Optics and Waves/Lecture 13 - Revision history</title>
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		<title>Ash: Import converted Year 1 Semester 1 lecture notes from 443937a7d37850a3c57dfa863f35e80d07f2ccbc</title>
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		<updated>2026-09-11T14:36:06Z</updated>

		<summary type="html">&lt;p&gt;Import converted Year 1 Semester 1 lecture notes from 443937a7d37850a3c57dfa863f35e80d07f2ccbc&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;!-- Converted from ashstewart7/university at 443937a7d37850a3c57dfa863f35e80d07f2ccbc; Optics and Waves/lec_13.tex. --&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;pn-lecture-meta&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;b&amp;gt;Lecture 13: Image Formation&amp;lt;/b&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
Wed 12 Nov 2025 11:00&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Year 1 Sem 1/LC Optics and Waves/Lecture 12|← Previous lecture]] · [[Year 1 Sem 1/LC Optics and Waves|Module]]&lt;br /&gt;
&lt;br /&gt;
== Sign Rules ==&lt;br /&gt;
&lt;br /&gt;
We have the mirror equation: &amp;lt;div class=&amp;quot;pn-import-equation&amp;quot;&amp;gt;&amp;lt;nowiki&amp;gt;$$\frac{1}{s} + \frac{1}{s^\prime} = \frac{1}{f}$$&amp;lt;/nowiki&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The numerical values of &amp;lt;nowiki&amp;gt;$s$&amp;lt;/nowiki&amp;gt; and &amp;lt;nowiki&amp;gt;$s^\prime$&amp;lt;/nowiki&amp;gt; give us the distance, but the position of the formed image is determined by their signs.&lt;br /&gt;
&lt;br /&gt;
== Mirrors ==&lt;br /&gt;
&lt;br /&gt;
The image formed by a mirror is:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;i&amp;gt;Virtual&amp;lt;/i&amp;gt;, as we effectively see it appears as being behind the mirror, where there is no real light.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;i&amp;gt;Erect&amp;lt;/i&amp;gt;, as there is no inversion (if you stand in front of a mirror, you see your body in the same top-to-bottom orientation as real life).&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;i&amp;gt;Reversed&amp;lt;/i&amp;gt;, as if you look in a mirror your body faces you, and you see your face, not your back.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Angled Mirrors ===&lt;br /&gt;
&lt;br /&gt;
If we have a pair of hinged mirrors, changing the angle between them changes the way that the image is produced. Crucially, it changes how many images of the object we see:&lt;br /&gt;
&lt;br /&gt;
[[File:OW-Y1S1-lec13-01.png|thumb|center|600px]]&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
[[Year 1 Sem 1/LC Optics and Waves/Lecture 12|← Previous lecture]] · [[Year 1 Sem 1/LC Optics and Waves|Module]]&lt;/div&gt;</summary>
		<author><name>Ash</name></author>
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