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

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