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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

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(4) 8

which is of the form of a straight line y = mx + c whose slope is -λ = 3-4/6-4

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