Thank you for reporting, we will resolve it shortly
Q.
A golf ball has a mass of 40 g, and a speed of 45 m/s. If the speed can be measured within accuracy of 2%, calculate the uncertainty in the position.
Structure of Atom
Solution:
The uncertainty in the speed is 2%, i.e.,
$45\times\frac{2}{100}=0.9 \, m s^{-1} . $ Using the equation $\Delta x=\frac{h}{4\pi m \Delta\upsilon}$
$=\frac{6.626\times10^{-34} J s}{4\times3.14\times40\times10 ^{-3} Kg\left(0.9 m s^{-1}\right)}=1.46\times10^{-33}m$
This is nearly $\sim 10^{18}$ 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.