Neutron and Electron Wavelength


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504446047
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Joined: Fri Sep 26, 2014 2:02 pm

Neutron and Electron Wavelength

Postby 504446047 » Mon Dec 08, 2014 11:20 pm

How do you determine whether a neutron or an electron has the shorter wavelength?

K Honeychurch 1K
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Joined: Fri Sep 26, 2014 2:02 pm

Re: Neutron and Electron Wavelength

Postby K Honeychurch 1K » Tue Dec 09, 2014 12:16 am

You use the de Broglie wavelength equation wavelength=h/p=h/(mv), however you need to know the velocities of the electron and neutron.
If you are referring to the question3B on the midterm, it is given that the neutron and electron have the same speed. So, since a neutron has a greater mass its wavelength will be shorter (notice that wavelength is inversely proportional to momentum (p) which is mass x velocity).

Vasudev Tadimeti 3B
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Joined: Fri Sep 26, 2014 2:02 pm

Re: Neutron and Electron Wavelength

Postby Vasudev Tadimeti 3B » Tue Dec 09, 2014 6:26 pm

Use the de Broglie equation lambda=h/p, and p=mv, so lambda=h/mv. The mass of a neutron is 1.67 x 10^-27 kg and the mass of an electron is 9.11 x 10^-31 kg. Substitute these numbers into the equation and you'll find that the neutron has a shorter wavelength.


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