An electron with kinetic energy `T~~4eV` is confirned within a region whose linear dimension is `l=1 mu m`. Using the uncertianty principle, evaluate the relative uncertainty of its velocity.

An electron with kinetic energy `T~~4eV` is confirned within a region

1.	An electron with kinetic energy `T~~4eV` is confirned within a region whose linear dimension is `l=1 mu m`. Using the uncertianty principle, evaluate the relative uncertainty of its velocity.
Answer» The momentum the electron is `Deltap_(x)=sqrt(2mT)` Uncertainty in its momentum is `Delta p_(x)geħ//Deltax=ħ//l` Hence relative nucertainty `(Delta P_(x))/(p_(x))=(ħ)/(lsqrt(2mT))=sqrt((ħ^(2))/(2ml^(2)))//T=(Deltav)/(v)` Substitution gives `(Delta v)/(v)=(Delta p)/(p)= 9.75xx10^(-5)~~10^(-4)`

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An electron with kinetic energy `T~~4eV` is confirned within a region whose linear dimension is `l=1 mu m`. Using the uncertianty principle, evaluate the relative uncertainty of its velocity.

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