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The uncertainty in measuring the speed o...

The uncertainty in measuring the speed of an accelerated electron is ` 1.2 xx 10^(5) m s^(-1)`, Calculate the uncertainty in finding its location while it is still in motion. (Given : `m_(e)= 9.31 xx 10^(-31) kg)`.

Text Solution

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According to uncertinty principle,
`Delta x.mDelta upsilon =(h)/(4 pi) or Delta x=(h)/(4 pi m Delta upsilon) `
`h=6.626 xx 10^(-34) kg m^(2)s^(-1), m_(e)=9.31 xx 10^(-31)kg , Delta upsilon = 1.2 xx 10^(5) ms^(-1)`
` Delta x=((6.626 xx 10^(-34) kg m^(2) s^(-1)))/(4xx3.143 xx (9.31xx10^(-31)kg)xx(1.2xx10^(5) ms^(-1)))=4.72xx10^(-10)m`.
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