// Scilab Code Ex10.2.1 Range of alpha-emitters of uranium: Pg:214 (2008) L1 = 4.8e-018; // Decay constant of first alpha-emitter, per sec L2 = 4.225e+03; // Decay constant of second alpha-emitter, per sec L3 = 3.786e-03; // Decay constant of third alpha-emitter, per sec R1 = 4.19; // Range of first alpha-emitter, cm R2 = 7.86; // Range of second alpha-emitter, cm // From Geiger Nuttal law, log R = A log L + B // Putting R1, L1 and R2, L2, subtracting and solving for A A = log(R2/R1)/log(L2/L1); // Slope of straight line between R and L B = poly(0,"B"); // Intercept of straight line between R and L B = roots(log(R2)-A*log(L2)-B); // Other constant of Geiger-Nuttal law R3 = exp(A*log(L3)+B); // Range of third alpha-emitter of uranium, cm printf("\nThe range of third alpha-emitter of uranium = %5.3f cm", R3); // Result // The range of third alpha-emitter of uranium = 6.554 cm