Atoms And Nuclei

To determine the half-life of a radioactive element, a student plots a graph of \(\ln \left| {{{dN(t)} \over {dt}}} \right|\) versus t. Here, \({{dN(t)} \over {dt}}\) is the rate of radioactive decay at time t. If the number of radioactive nuclei of this element decreases by a factor of p after 4.16 years, the value of p is __________.