1B #19

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Kelly Cai 4D
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Joined: Sat Jul 20, 2019 12:17 am

1B #19

Postby Kelly Cai 4D » Sun Oct 13, 2019 8:13 pm

Protons and neutrons have nearly the same mass. How different are their wavelengths? Calculate the wavelength of each particle when traveling at 2.75 x 10^5 m/s in a particle accelerator and report the difference as a percentage of the wavelength of the neutron.

Posts: 101
Joined: Thu Jul 11, 2019 12:17 am

Re: 1B #19

Postby KSong_1J » Sun Oct 13, 2019 10:02 pm

To calculate the different wavelengths, use de Broglie’s equation (λ = h/mv) and you just search up the mass of the proton and neutron because they’re set values and plug those in for m, plug in 2.75 x 10^5m/s for v, and plug in Planck’s constant for h:

(6.626 x 10^-34Js)/(1.673 x 10^-27kg)(2.75 x 10^5m/s) = 1.44 x 10^-12 m

(6.626 x 10^-34Js)/(1.675x10^-27kg)(2.75 x 10^5m/s) = 1.44 x 10^-12 m

From the equation, you can see that the wavelengths don’t seem to have much of a difference/are identical

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