The uncertainties in the velocities of two particle A and B are $0.05$ and $0.02\;m/s^{-1}$ respectively. The mass of B is five times to that of mass A. What is the ratio of uncertainties $\bigg(\large\frac{\Delta x_A}{\Delta x_B}\bigg)$ in their positions ?

Question

\[\begin {array} {1 1} (a)\;2 & \quad (b)\;0.25 \\ (c)\;4 & \quad (d)\;1 \end {array}\]