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If uncertainties in the measurement of p...

If uncertainties in the measurement of position and momentum of an electrona re equal, calculate uncertainty in the measurement of velocity.

Text Solution

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According to Heisenberg's uncertainty principle,
`Deltax.Deltap ge(h)/(4pi)`
Given `Deltax=Deltap=sqrt((h)/(4pi))=0.726xx10^(-17)`
`Deltap=mDeltaV`
or `DeltaV=(Deltap)/(m)=(0.726xx10^(-17))/(9.1xx10^(-31))=7.98xx10^(12)ms^(-1)`.
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