Deriving the function [ENDORSED]
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Deriving the function
I am uncertain how to derive the DeBroglie Equation from the E=mc^2 equaiton. Is it necessary to know how to derive this function?
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Re: Deriving the function
You do not need to know how to derive ay equations. On the test you will be given a formula sheet that will include the de Broglie equation.
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Re: Deriving the function
Does de Broglie's equation apply to particles of matter as well as photons of electromagnetic radiation?
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Re: Deriving the function [ENDORSED]
Yes, De Broglie's equation applies to everything that has momentum (so your particle must have mass and velocity).
I think it was derived by relating quantum mechanics to classical mechanics. So,
E = mc^2 and E = hf
E = mc^2 = hf **set equations equal to one another**
E = mc^2 = h(c/λ) **substitute for frequency **
mc = h/λ **cancel the c's**
λ = h/mc **rearrange**
λ = h/mv **since c is the speed of light, if we had to apply this equation to other things, c would just be the speed of that thing (v)**
I think it was derived by relating quantum mechanics to classical mechanics. So,
E = mc^2 and E = hf
E = mc^2 = hf **set equations equal to one another**
E = mc^2 = h(c/λ) **substitute for frequency **
mc = h/λ **cancel the c's**
λ = h/mc **rearrange**
λ = h/mv **since c is the speed of light, if we had to apply this equation to other things, c would just be the speed of that thing (v)**
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Re: Deriving the function
Tatiana R Dis 3E wrote:When is it necessary to use this functions again?
The de Broglie equation is used to measure the wavelength of the ejected electron.
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