The uncertainties in the velocities of two particles A and B are 0.05 and 0.02 ms-1 respectively. The mass of B is five times to that of mass A. What is the ratio of uncertainties ΔxAΔxB in their positions?

According to HeisenbergΔx×m×Δv=h4πwhere, Δx= uncertainty in position m = mass of particleΔv≒ uncertainty in velocity According to questionΔxA×m×0.05=h4πΔxB×5m×0.02=h4πEq. (i) divided by Eq. (ii), thenΔxA×m×0.05ΔxB×5m×0.02=1⇒  ΔxAΔxB=5m×0.02m×0.05=2or ΔxAΔxB=2