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Two radioactive substances P and Q have half-life 6 months and 3 months respectively. Find the ratio of the activity of these two materials after one year.

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Activity R = λN

R1 = λ1N1

R2 = λ2N2

λ1 = \(\frac{0.693}{T_{1/2}}=\frac{0.693}{6}\)

λ2 = \(\frac{0.693}{T_{1/2}}=\frac{0.693}{3}\)

N1 = \(\frac{N_0}{2},N_2=\frac{N_0}{4}\)

\(\frac{R_1}{R_2}=\frac{λ_1N_1}{λ_2N_2}\)

R1 : R2 = 1: 1

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