Uncertainty Principle Using ΔPΔx ≥ ħ/2: a Nonrelativistic Proton Is

question 34

Multiple Choice

Uncertainty principle using ΔpΔx ≥ ħ/2: A nonrelativistic proton is confined to a length of 2.0 pm on the x-axis. What is the kinetic energy of the proton if its speed is equal to the minimum uncertainty possible in its speed? (1 eV = 1.60 × 10^-19 J, ħ = 1.055 × 10^-34 J ∙ s, m_proton = 1.67 × 10^-27 kg)

• A) 0.13 eV
• B) 1.3 eV
• C) 13 eV
• D) 130 eV
• E) 1300 eV

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