Uncertainty Principle Using ΔPΔx ≥ ħ/2: an Electron Inside a Hydrogen

question 27

Multiple Choice

Uncertainty principle using ΔpΔx ≥ ħ/2: An electron inside a hydrogen atom is confined to within a space of 0.110 nm. What is the minimum uncertainty in the electron's velocity? (ħ = 1.055 × 10^-34 J ∙ s, m_el = 9.11 × 10^-31 kg)

• A) 5.26 × 10⁵ m/s
• B) 7.50 × 10⁵ m/s
• C) 5.26 × 10⁷ m/s
• D) 7.50 × 10⁷ m/s
• E) 5.26 × 10⁹ m/s