Calculate uncertainty in velocity, an electron has 0.1nm uncertainty in position
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Explanation:
We apply Hiesenberg's uncertainty principle here.
∆x*∆p≥{h/4π} where ∆x is uncertainty in position,∆p is uncertainty in momentum.
∆p=m∆v,where ∆v is uncertainty in velocity.
So,∆v=h/(4πm*∆x),where h is Planck's constant and m is mass of electron.
Substituting values and changing to appropriate units,we get:-
Uncertainty in velocity (∆v)=5.8*10^5 m/s
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