\(\Delta v\) = 800 x \(\frac{0.005}{100}\) = 0.04 ms-1
According to Heisenberg uncertainty principle,
\(\Delta \mathrm{x}\times m\Delta v\) = \(\frac{h}{4\pi}\)
\(\therefore\) \(\Delta \mathrm{x}\) = \(\frac{h}{4\pi m.\Delta v}\)
= \(\frac{6.626\times10^{-34}kgm^2s^{-1}}{4\times3.14\times9.1\times10^{-31}kg\times0.04ms^{-1}}\)
= \(\frac{6.626\times10^{-34}}{4.572\times10^{-31}}\)
= 1.449 × 103 m
= 1.45 × 10−3 m