To determine the half life of radioactive element, a graph is plotted between ln|\(\frac{dN}{dt}\)| versus t\(|\frac{dN}{dt}|\) representing the rate of radioactive decay at time t. If the number of radioactive nuclei of this element decreases by a factor of p after 4.15 years, the value of p is

(1) 2
(2) 4
(3) 6
(4) 8