According to the Heisenberg's uncertainty principle, the minimum uncertainty in momentum will be:
Δp=2Δxℏ where ℏ=1.05⋅10−34J⋅s is the reduced Planck constant and Δx=1.06⋅10−10m is the atom diameter (uncertainty of the coordinate). Thus:
Δp=2⋅1.06⋅10−10m1.05⋅10−34J⋅s=5⋅10−25kg⋅m/s The average kinetic energy of the electron will be:
K=2meΔp2 where me=9.11⋅10−31kg is the mass of electon.
K=2⋅9.11⋅10−31kg(5⋅10−25kg⋅m/s)2=1.37⋅1019J
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