Question

In: Chemistry

calculate the wavelengths of the following: A) a muon (a subatomic particle with a mass of...

calculate the wavelengths of the following: A) a muon (a subatomic particle with a mass of 1.884x10^-25g) traveling at 2.30x10^2 m/s B) an electron (m=9.10939x10^-28g) moving at 3.80x10^6 m/s in an electron microscope

Solutions

Expert Solution

A)

muon mass = 1.884x10^-25 g

                    = 1.884 x 10^-28 kg

velocity = 2.30x10^2 m/s

wave length (lamda) = h / mv

                                 = 6.625 x 10^-34 / (1.884 x 10^-28 x 2.30x10^2)

                                 = 1.53 x 10^-8 m

                                 = 15.3 nm

B)

electron mass = 9.10939x10^-28 g

                       = 9.10939x10^-31 kg

velocity = 3.80x10^6 m/s

wave length (lamda) = h / mv

                                 = 6.625 x 10^-34 / (9.10939x10^-31 x 3.80x10^6)

                                 = 1.91 x 10^-10 m

                              


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