A golf ball has a mass of 40g , and a speed of `45m//s` . If the speed can be measured within accuracy of 2% , calculate the uncertainty in the position.

Explanation

The uncertainty in the speed is 2% , i.e .,
`45xx(2)/(100)=0.9"ms"^(-1)`
`Deltax=(h)/(4pimDeltav)`
`=(6.626xx10^(-34)"Js")/(4xx3.14xx40gxx10^(-3)"kg g "^(-1)(0.9"ms"^(-1))`
`=1.46xx10^(-33)m`)
This is nearly `-10^(18)` times smaller than the diameter of a typical atomic nucleus . As mentioned earlier for large particles , the uncertainty principle sets no meaningful limit to the precision of measurements.