Discussion
Activity when measured as counts per minute is .............. in case of a mixture of two isotopes.
Answer: B
The measured activity is the sum of the activity of each isotope.
A counter registers every decay event that reaches it, whichever nucleus it comes from. In a mixture, the two isotopes decay independently, so the observed count rate is the sum of the two contributions, each decaying with its own half-life: A = λ1N1 + λ2N2.
This additivity is what allows a composite decay curve to be resolved into its components, by subtracting the long-lived contribution extrapolated back from late times. A difference, product or ratio of activities has no physical meaning as a count rate.
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