What is the uncertainty in the position of an electron moving at 9.00 * 10 6 m/s with an uncertainty of Δ v = 0.01 * 10 6 m/s?

The uncertainty in the position of the electron is 5.787 nm

Explanation:

Δx ≥ h / (4πmΔv)

where;

h is Planck's constant and m is the mass of the object.

Planck's constant = 6.626 X 10⁻³⁴

The mass of an electron is 9.11 x 10⁻³¹kg.

Δv is the change in velocity 0.01 * 10⁶ m/s

Δx ≥ h / (4π*mΔv) = (6.626 X 10⁻³⁴) / (4π*9.11 x 10⁻³¹ * 0.01 * 10⁶)

Δx ≥ 5.787 X 10⁻⁹ m

Δx ≥ 5.787 nm

Therefore, the uncertainty in the position of the electron is 5.787 nm