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1. Question
The speed of an electron is known to be between 6.0×10^6 m/s and 6.7×10^6 m/s . Estimate the uncertainty in its position.
ΔpΔx ≥ h/2π
(mΔv) Δx ≥ h/2π (Since Δp= mΔv)
Δx≥ h/2π(mΔv)
h= 6.63*10^{34} J*s
c= 3.0*10^{8}
mass of electron= 9.11*10^{31}
(6.63*10^34)/(2pi(9.11*10^31)*(6.7*10^6  (6*10^6))
= 0.00000000016546 m
Apparently this is incorrect. What am I doing wrong?
The speed of an electron is known to be between 6.0×10^6 m/s and 6.7×10^6 m/s . Estimate the uncertainty in its position.
Homework Equations
ΔpΔx ≥ h/2π
(mΔv) Δx ≥ h/2π (Since Δp= mΔv)
Δx≥ h/2π(mΔv)
h= 6.63*10^{34} J*s
c= 3.0*10^{8}
mass of electron= 9.11*10^{31}
The Attempt at a Solution
(6.63*10^34)/(2pi(9.11*10^31)*(6.7*10^6  (6*10^6))
= 0.00000000016546 m
Apparently this is incorrect. What am I doing wrong?
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