Uncertainty Principle Using ΔXΔp ≥ ħ: a Nonrelativistic Proton Is

Multiple Choice

Uncertainty principle using ΔxΔp ≥ ħ: 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) 0.52 eV
B) 5.2 eV
C) 52 eV
D) 520 eV
E) 5200 eV