A ball of mass 50 g moves with a speed of 50 ms-1. If the speed is measured within accuracy of 2%, the uncertainty in the position is:

Uncertainty in the speed is 2% i.e.,

$50 \times \frac{2}{100} = 1.0 m s^{- 1}$

$Δ x = \frac{h}{4 π m Δ v}$

$= \frac{6.626 \times 10^{- 34} J s}{4 \times 3.14 \times 50 g \times 10^{- 3} k g g^{- 1} (1.0 m s^{- 1})}$

$= \frac{6.626 \times 10^{- 34} J s}{3.14 \times 0.2 k g m s^{- 1}}$

$= \frac{6.626 \times 10^{- 34} k g m^{2} s^{- 1}}{0.628 k g m s^{- 1}}$

$= 1.055 \times 10^{- 33} m$

A ball of mass 50 g moves with a speed of 50 ms^-1. If the speed is measured within accuracy of 2%, the uncertainty in the position is: