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I was reviewing the worked examples on page 12 in the 2015 version of the course reader and was a little confused. How small does the solution have to be in order to determine that it is too small to be detected?
From my understanding, the smallest amount the solution can be is _x10^-15 in order to be detected. A number smaller than this, such as x10^-38 in the example on page 12 is too small to be detected, but larger numbers such as x10^-10 in the second example are large enough to be detected. Generally, particles in the atomic scale are detected, whereas objects like a car or a baseball are too large to have measurable wavelike properties.
I disagree that the smallest detectable wavelength is x 10^-15. According to the notes on the page before that worked example (page 11 in the 2015 course reader), the wavelength of an electron in an atom is x 10^-12. Since electrons do create diffraction patterns, I believe that this is the smallest detectable wavelength. However, it seems, generally, that particles on the atomic scale are the ones that tend to be detected since they have a much smaller mass and a higher velocity than those of a larger scale like a car.
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