Question

Calculate the uncertainty in the determination of velocity of a ball of mass 200 g, if the uncertainty in the determination of position is 1 A. [h=6.626 × 10^-34 J s].

Answer 1

\(ΔX\times mΔv=\frac{h}{4\pi}\) 

ΔX = 1Å = 10^-10m,m = 200g = 0.2 kg, h = 6.626x 10^-34Js

Δv = \(\frac{h}{4\pi mΔX}\) 

Δv = \(\frac{6.626\times^{-34}Js}{4\times3.14\times0.2kg\times10^{-10}}\) = 2.64 x 10^-24ms^-1