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What is the De Broglie wavelength of an electron that strikes the back of the face of a TV screen at 19 the speed of light?
Wiki User
∙ 16y ago
Assuming you mean that the velocity is 1/9th the speed of light then you need to use the de Broglie equation for the wavelength of a particle, which says that the wavelength is equal to Planck's constant divided by the momentum. Thus,
λ = h / p = h / (m*v) = h/(m*1/9*c) = 9*h/(m*c)
where λ=wavelength, h=Planck's constant, p=momentum, m=mass of the electron, v=velocity, and c=speed of light
this gives
λ = 9 * 6.626*10^-34 / (9.109*10^-31 * 3.00*10^8)
= 2.18*10^-11 meters
Wiki User
∙ 16y ago
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