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An electron has a velocity of 600m*s^(-1...

An electron has a velocity of 600`m*s^(-1)` [accuracy: 0.005%]. With what accuracy can we locate the position of this electron[ mass of an electron=`9.1xx10^(-31)kg,h=6.6xx10^(-34)J*s`]

Text Solution

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According to uncertainty principle, `Deltax*mDeltav=(h)/(4pi)`
or, `Deltax=(h)/(4pimDeltav)=(6.6xx10^(-34))/(4xx3.14xx(9.1xx10^(-31))xx(600xx(0.005)/(100)))`
`=(6.6xx10^(-34))/(4xx3.14xx9.1xx10^(-31)xx0.03)=1.92xx10^(-3)m`
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