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If uncertainty in the measurement of p...

If uncertainty in the measurement of position and momentum of an electron are equal then uncertainty in the measurement of its velocity is approximatly:

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The correct Answer is:
8

Uncertainty in position = uncertainty in momentum `=Deltax`
`rArr" "Deltax^(2)=(h)/(4pi)" "rArr" "Delta x =sqrt((h)/(4pi))`
`"Also "Deltax.mDeltav=(h)/(4pi), Deltav=(h)/(4pi m Deltax)`
`=(h)/(4pim).sqrt((4pi)/(h))" "=sqrt((h)/(4pi)).(1)/(m)" "=sqrt((6.6xx10^(-34))/(4xx3.14))xx(1)/(9.1xx10^(-31))`
`=8xx10^(12)ms^(-1)" "rArr" "x=8`
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