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de Broglie wave equation$->$ $lambda=h/p$

...where

  • $lambda$ is the wavelength in $"m"$.

  • $p$ ($"mass"(m)*"velocity"(v)$) is momentum
    (electron mass = $9.109*10^(-31)$ $"kg"$).

  • $h$ is Planck's constant $=6.626*10^-34 "J"("joule")*"s"("second")$.
    (1 Joule = $"1 kg"cdot"m"^2"/s"^2$)

Resolving...

$lambda=(6.626*10^-34 "J"cdot"s")/(mv)$

$lambda=(6.626*10^-34 "J"cdot"s")/((9.109*10^-31 "kg")(2.0*10^8 "m/s"))$

$lambda=(6.626*10^-34 "kg"cdot"m"^2"/s")/(18.2*10^-23 "kg"cdot"m/s")$

Here, everything is cancelled except $"m"$.

$lambda=3.64*10^-12$ $"m"$

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