Suppose that the uncertainty in determining the position of an electron circling an atom in an orbit is 0.4 A. What is the uncertainty in its velocity

Applying the Heisenberg uncertainty principle,

Δx X mΔv = h/4π

where Δx = uncertainty in measurement of position

Δv = uncertainty in measurement of velocity

m = mass of object

h = planck's constant

Here:

Δv = 0.4 A° = 4.0 x 10^-11 m

mass, m = 9.11 x 10^-31 Kg

Plugging the values,

4.0 x 10^-11 x Δ v = (6.626 x 10^-34) / (4 x 3.14 x 9.11E-31)

4.0 x 10^-11 x Δ v = 5.791 x 10^-5

Δv = 1.448 x 10^6 m/s, the uncertainty in its velocity

Answer = 1.45 x 10^6 m/s