Question

The maximum uncertainty in the position of an electron in a nucleus is 2×10 -14 m. Find the minimum uncertainty in its momentum.

Answer 1

Explanation:

The uncertainty in position is the accuracy of the measurement, or Δx = 0.0100 nm. Thus the smallest uncertainty in momentum Δp can be calculated using ΔxΔp≥h4π Δ x Δ p ≥ h 4 π . Once the uncertainty in momentum Δp is found, the uncertainty in velocity can be found from Δp = mΔv.