// Scilab Code Ex12.1: Page-432 (2014) clc; clear; h = 6.62e-034; // Planck's constant, Js h_bar = h/(2*%pi); // Reduced Planck's constant, Js m = 1.67e-027; // Rest mass of proton, kg e = 1.602e-019; // Energy equivalent of 1 eV, J c = 3.00e+008; // Speed of light, m/s delta_x = 8.0e-015; // Size of the nucleus, m delta_p = h_bar/(2*delta_x*e); // Uncertainty in momentum of proton from Heisenberg Uncertainty Principle, eV-s/m p_min = delta_p; // Minimum momentum of the proton inside the nucleus, eV-s/m K = (p_min*c)^2*e/(2*m*c^2*1e+006); // The minimum kinetic energy of the proton in a medium sized nuclecus, MeV printf("\nThe minimum kinetic energy of the proton in a medium sized nuclecus = %4.2f MeV", K); // Result // The minimum kinetic energy of the proton in a medium sized nuclecus = 0.08 MeV