Deriving De Broglie's Equation


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Sean Sugai 4E
Posts: 56
Joined: Wed Sep 11, 2019 12:17 am

Deriving De Broglie's Equation

Postby Sean Sugai 4E » Sun Oct 13, 2019 8:35 pm

Using the equations c=λv, E=mc^2, and E=hv, how can you derive De Broglie's equation?

Rida Ismail 2E
Posts: 139
Joined: Sat Sep 07, 2019 12:16 am

Re: Deriving De Broglie's Equation

Postby Rida Ismail 2E » Sun Oct 13, 2019 8:43 pm

how i did it is i used the equations E=pc, E=hv, and c=hv:

you first convert c=hv to v=c/λ
Then substitute v=c/λ into the v in E=hv giving you E=h(c/λ)
then set E=pc equal to E=h(c/λ), giving you pc=h(c/λ)
the c cancel
giving you p=h/λ
solve for λ
λ=h/p

Julie Park 1G
Posts: 100
Joined: Thu Jul 25, 2019 12:15 am

Re: Deriving De Broglie's Equation

Postby Julie Park 1G » Sun Oct 13, 2019 8:56 pm

Given that E=mc2 and E=hv
Substitute E to get mc2=hv
Rearrange to get mc = (hv)/c = p
Note: If E=pc, and E=hv, then p=E/c can be rearranged to p=hv/c

Given that c=λv and p=(hv)/c, p=h/λ
Which can be rearranged to λ=h/p (De Broglie)


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