Consider a radioactive sample with half-life

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

Problem

Consider a radioactive sample with half-life T1/2T_{1/2}. Let N0N_0 be the number of undecayed nuclei at t=0t=0, N1N_1 at t=T1/2t=T_{1/2} and N2N_2 at t=2T1/2t=2T_{1/2}. Which one of the following relations is correct? (a) N2=34N0N_2 = \dfrac{3}{4}N_0 (b) N1=N0N_1 = N_0 (c) N2=12N1N_2 = \dfrac{1}{2}N_1 and N1=12N0N_1 = \dfrac{1}{2}N_0 (d) N2=12N0N_2 = \dfrac{1}{2}N_0 and N1=34N0N_1 = \dfrac{3}{4}N_0

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