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An electron has a speed of 40m//s, accur...

An electron has a speed of `40m//s`, accurate up `99.99%`.What is the uncertainty in locating position ?

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According to uncertainty principle,
`Deltax.mDelta upsilon = (h)/(4 pi) " "or" " Deltax=(h)/(4 pi m Delta upsilon)`
`Delta upsilon = 40 ms^(-1) `(accurate upto 99.99%)`=(100-99.99)/(100) xx 40 =(0.01)/(100)xx40=4xx10^(-3) ms^(-1)`
`m=9.1 xx 10^(-31)kg, h=6.626 xx 10^(-34)kg m^(2)s^(-1), pi =3.143`
`:. " " Delta x=((6.626 xx 10^(-34) kg m^(2)s^(-1)))/(4xx3.143xx(9.1 xx10^(-31)kg) xx (4 xx 10^(-3)ms^(-1)))=1.45 xx 10^(-2)m`.
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