✔ 最佳答案
Be aware that the constant k is not a mathematical probability describing the occurrence of an event. The constant is in fact a "proportional constant" relating dN/dt (the rate of decay of radionuclides) and N (the no. of nuclides present).
The equation is: dN/dt = -kN
If we transpose the terms to make the equation in the form,
-(dN/N)/dt = k
Thus, physically, k is a measure of the fractional decrease of radionuclides (i.e. -dN/N) over a time interval dt (delta t).
Hence, there is no limitation on the value of k, it could exceed unity. If we take a unit time interval (i.e. 1 s), a value of k greater than one indicates dN > N. That means the no. of nuclides decreased is expected to be more than the no. of nuclides present. This is not physically impossible. It would happen if the half-life of the radionuclide is far shorter than 1 second.