De-Broglie's Wave Length of Moving Electron
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Description:
Electron moves due to potential difference i.e. it always moves from lower potential to higher potential and it possess certain kinetic energy.
λ = h/mv
This equation can be adjusted as −
λ =
h√1/2 mv2 × 2m
We have,
K.E. = 1/2 mv2
But for electron,
K.E. = eV0
So,
λ =
h√2meV0
Where,
h = Planck’s constant = 6.22 × 10-3
m = Mass of the electron = 9.11 × 10-31
e = Charge on electron = 1.6 × 10-19
V0 = Potential under which electron is moving.
Substituting values −
λ =
6.22 × 10-3√2 × 9.11 × 10-31 × 1.6 × 10-19 × V0
∴ λ =
12.27 × 10-10√V
meters ∴ λ =
12.27√V
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