A straight line obtained from an versus graph has slope and y-intercept

PHYSICS · Single correct · A Level · Physics · Nuclear physics · Nuclear physics

Problem

A straight line obtained from an ln⁡N\ln N versus tt graph has slope −0.005 min−1-0.005\,\text{min}^{-1} and y-intercept 12.512.5. Estimate the initial number of undecayed nuclei N0N_0 in the sample. (a) 8.6×1058.6\times10^{5} (b) 1.6×1051.6\times10^{5} (c) 2.7×1052.7\times10^{5} (d) 12.512.5

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