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Calculate the minimum uncertainty in the...

Calculate the minimum uncertainty in the position of a bullet of mass 2.5 g having a probable velocity between 60,000,000 and 60,000,001 `m*s^(-1)`.

Text Solution

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The maximum uncertainty in velocity,
`Deltav=60,000,001-60,000,000=1m*s^(-1)`
According to uncertainty principle, `Deltax*mDeltav=h//mv`
`therefore Deltax=(h)/(4pimxxDeltav)=(6.626xx10^(-34))/(4xx3.14xx(2.5xx10^(-3))xx1)`
`=2.12xx10^(-32)`m
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