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The 2005 Nobel prize in physics was given, in part, to scientists who had made ultrashort pulses of light. These pulses are important in making measurements involving very short time periods. One challenge in making such pulses is the uncertainty principle, which can be stated with respect to energy and time as .
a) What is the energy uncertainty associated with a short pulse of laser light that lasts for only 4.8 femtoseconds (fs)? Suppose the low energy end of the pulse had a wavelength of 727 .
b) What is the wavelength of the high energy end of the pulse that is limited only by the uncertainty principle?
Show all the steps in the mechanism for the following reaction, When benzene is mixed with deuterated sulfuric acid, deuterium is slowly incorporated onto the ring. Show the mechanism for this reaction and explain how this relates the sulfonation of ..
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