The uncertainty in velocity of fast moving bullet is 0.01 kg. Calculate it's uncertainty in position.(h=planks,const.=6.6*10^-34)
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According to Heisenberg's uncertainity principle:
Δx.Δp=
4π
h
Δx.Δv=
4πm
h
Given: h=6.626×10
−34
Js=Planck's constant
m=mass of object =10g=0.01 kg and Δx=±0.01mm=±0.01×10
−3
m=10
−5
m
Upon substitution we get:
Δv=
10
−5
×4×3.14×10
−2
6.626×10
−34
Δv=0.527×10
−27
=5.27×10
−28
m/s
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