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 ((∆xA/∆xB) in their positions?

According to Heisenberg,∆x ×m×∆v = h4πwhere, ∆x = uncertainty in position              m = mass of particle             ∆v = uncertainty in velocityAccording to question,∆xA×m×0.05 = h4π∆xB×5m×0.02 = h4πDivide Eq.(i) by Eq.(ii), then∆xA×m×0.05∆xB×5m×0.02 = 1⇒∆xA∆xB  = 5m×0.02m×0.05 = 2or ∆xA∆xB  = 2