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Jules18
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Wavelength of an electron
-Electron has 3.00 MeV (or 4.8*10^-13 Joules)
-it's relativistic
-finding λ.
h=6.63*10^-34
λ=h/p (obviously)
And I'm not sure if they're needed, but the relativistic eq's are:
KE = mc^2/sqrt(1-(v/c)^2)
p = mv/sqrt(1-(v/c)^2)
I'm not sure if this one applies to relativistic speeds:
E = hc/λ
Attempt 1:
E = hc/λ
4.8E-13 = (6.63E-34)(3E8)/λ
λ = (6.63E-34)(3E8)/(4.8E-13)
λ = 4.14E-13 m
BUT answer key says 3.58E-13
If you could help, that would be great.
Sorry if it's too long, and I'm a little unfamiliar with relativistic eqn's so forgive me if I screwed up on them.
Homework Statement
De Broglie postulated that the relationship λ=h/p is valid for relativistic particles. What is the de Broglie wavelength for a (relativistic) electron whose kinetic energy is 3.00 MeV?
-Electron has 3.00 MeV (or 4.8*10^-13 Joules)
-it's relativistic
-finding λ.
Homework Equations
h=6.63*10^-34
λ=h/p (obviously)
And I'm not sure if they're needed, but the relativistic eq's are:
KE = mc^2/sqrt(1-(v/c)^2)
p = mv/sqrt(1-(v/c)^2)
I'm not sure if this one applies to relativistic speeds:
E = hc/λ
The Attempt at a Solution
Attempt 1:
E = hc/λ
4.8E-13 = (6.63E-34)(3E8)/λ
λ = (6.63E-34)(3E8)/(4.8E-13)
λ = 4.14E-13 m
BUT answer key says 3.58E-13
If you could help, that would be great.
Sorry if it's too long, and I'm a little unfamiliar with relativistic eqn's so forgive me if I screwed up on them.
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