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		<title>Waves: relation between frequency and wavelength (3677)</title>
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		<dc:date>2016-08-23T08:44:14Z</dc:date>
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		<dc:creator>F_y_Q</dc:creator>


		<dc:subject>Propagation speed</dc:subject>
		<dc:subject>Wavelength</dc:subject>
		<dc:subject>SOLVED</dc:subject>

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&lt;p&gt;An electromagnetic wave is travelling through a vacuum. If its frequency is 1 MHz, what will be its wavelength?&lt;/p&gt;


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 <content:encoded>&lt;div class='rss_texte'&gt;&lt;p&gt;An electromagnetic wave is travelling through a vacuum. If its frequency is 1 MHz, what will be its wavelength?&lt;/p&gt;&lt;/div&gt;
		&lt;hr /&gt;
		&lt;div &lt;div class='rss_ps'&gt;&lt;p&gt;The propagation speed of a wave is the product between of its frequency and wavelength. You can solve for the wavelength using the equation: &lt;br/&gt; &lt;br/&gt; &lt;img src='https://www.ejercicios-fyq.com/local/cache-TeX/8e77d5ad636053e0a09966871bff61cd.png' style=&#034;vertical-align:middle;&#034; width=&#034;189&#034; height=&#034;43&#034; alt=&#034;v = \lambda \cdot \nu\ \to\ \color[RGB]{2,112,20}{\bm{\lambda= \frac{v}{\nu}}}&#034; title=&#034;v = \lambda \cdot \nu\ \to\ \color[RGB]{2,112,20}{\bm{\lambda= \frac{v}{\nu}}}&#034; /&gt; &lt;br/&gt; &lt;br/&gt; The speed of an electromagnetic wave in a vacuum is the speed of light in a vacuum: &lt;br/&gt; &lt;br/&gt; &lt;p class=&#034;spip&#034; style=&#034;text-align: center;&#034;&gt;&lt;img src='https://www.ejercicios-fyq.com/local/cache-TeX/b073e9156576cb6265a002b1f1427e7c.png' style=&#034;vertical-align:middle;&#034; width=&#034;305&#034; height=&#034;48&#034; alt=&#034;\lambda= \frac{3\cdot 10^8\ m\cdot \cancel{s^{-1}}}{10^6\ \cancel{s^{-1}}} = \fbox{\color[RGB]{192,0,0}{\bm{3\cdot 10^2\ m}}}&#034; title=&#034;\lambda= \frac{3\cdot 10^8\ m\cdot \cancel{s^{-1}}}{10^6\ \cancel{s^{-1}}} = \fbox{\color[RGB]{192,0,0}{\bm{3\cdot 10^2\ m}}}&#034; /&gt;&lt;/p&gt;
&lt;/math&gt;&lt;/p&gt;&lt;/div&gt;
		
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		<title>Relation between frequency and wavelength (3140)</title>
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		<dc:date>2015-05-08T09:14:21Z</dc:date>
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		<dc:creator>F_y_Q</dc:creator>


		<dc:subject>Propagation speed</dc:subject>
		<dc:subject>Frequency</dc:subject>
		<dc:subject>Wavelength</dc:subject>
		<dc:subject>SOLVED</dc:subject>

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&lt;p&gt;A spring is producing waves with a frequency of 4 Hz and a wavelength 0.5 m. What is its velocity? What will be its wavelength if the frequency is doubled? What will be its wavelength if the frequency is reduced to half?&lt;/p&gt;


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&lt;a href="https://www.ejercicios-fyq.com/Waves" rel="directory"&gt;Waves&lt;/a&gt;

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 <content:encoded>&lt;div class='rss_texte'&gt;&lt;p&gt;A spring is producing waves with a frequency of 4 Hz and a wavelength 0.5 m. What is its velocity? What will be its wavelength if the frequency is doubled? What will be its wavelength if the frequency is reduced to half?&lt;/p&gt;&lt;/div&gt;
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		&lt;div &lt;div class='rss_ps'&gt;&lt;p&gt;The wave's velocity is: &lt;br/&gt; &lt;br/&gt; &lt;p class=&#034;spip&#034; style=&#034;text-align: center;&#034;&gt;&lt;img src='https://www.ejercicios-fyq.com/local/cache-TeX/01c027dfa14d6b8ca71d2cd5e077c506.png' style=&#034;vertical-align:middle;&#034; width=&#034;372&#034; height=&#034;37&#034; alt=&#034;{\color[RGB]{2,112,20}{\bm{v = \lambda \cdot \nu}}}\ \to\ v = 0.5\ m\cdot 4\ s^{-1} = \fbox{\color[RGB]{192,0,0}{\bm{2\ \frac{m}{s}}}}&#034; title=&#034;{\color[RGB]{2,112,20}{\bm{v = \lambda \cdot \nu}}}\ \to\ v = 0.5\ m\cdot 4\ s^{-1} = \fbox{\color[RGB]{192,0,0}{\bm{2\ \frac{m}{s}}}}&#034; /&gt;&lt;/p&gt; &lt;br/&gt; If velocity is constant, when the frequency is doubled, &lt;b&gt;the wavelength must be halved&lt;/b&gt;. &lt;br/&gt; &lt;br/&gt; Similarly, if the frequency is halved, &lt;b&gt;the wavelength must be doubled&lt;/b&gt;.&lt;/math&gt;&lt;/p&gt;&lt;/div&gt;
		
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