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Photons of red light have a wavelength of approximately $$$7\times 10^{-7}$$$ meters. The energy of a photon is inversely proportional to its wavelength. A photon with 2000 times the energy as a photon of red light will have a wavelength that can be written as $$$a\cdot 10^b$$$ meters, where $$$1\le a < 10$$$. (In other words, in scientific notation.) What is a + b written as a decimal?

 Aug 12, 2015

Best Answer 

 #1
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$$E_{red}=\frac{k}{7\times10^{-7}}\\\\
E_{2000red}=\frac{2000k}{7\times10^{-7}}=\frac{k}{3.5\times10^{-10}}\\\\
a=3.5\\
b=-10\\
a+b=-6.5$$

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 Aug 12, 2015
 #1
avatar+33616 
+6
Best Answer

$$E_{red}=\frac{k}{7\times10^{-7}}\\\\
E_{2000red}=\frac{2000k}{7\times10^{-7}}=\frac{k}{3.5\times10^{-10}}\\\\
a=3.5\\
b=-10\\
a+b=-6.5$$

Alan Aug 12, 2015

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