// Scilab code Exa2.20 : : Page 96 (2011) clc; clear; N_1 = 10^20; // Number of nuclei of parent isotopes T_P = 10^4; // Half life of parent nucleus,years T_D = 20; // Half life of daughter nucleus,years T = 10^4; // Given time,years L_P = 0.693/T_P ; // Decay constant of parent nucleus,years^-1 L_D = 0.693/T_D ; // Decay constant of daughter nucleus,years^-1 t_0 = log(0.03)/(L_P-L_D); // Required time for decay of daughter nucleus,years N = L_P/L_D*(%e^(-L_P*T)-%e^(-L_D*T))*N_1; // Number of nuclei of daughter isotope printf("\nThe required time for decay of daughter nucleus = %d yr \nThe number of nuclei of daughter isotope = %1.0e ", t_0, N); // Result // The required time for decay of daughter nucleus = 101 yr // The number of nuclei of daughter isotope = 1e+017