Samples of two radioactive nuclides, X and Y, each have equal activity A at time t=0.X has a half-life of 24 years and Y a half-life of 16 years. The samples are mixed together. What will be the total activity of the mixture at t=48 years?
A
12A0
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B
14A0
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C
316A0
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D
38A0
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Solution
The correct option is D38A0 If initial activity is A0 After 'n' half lifes, activity would reduce to A02n because number of nuclei would reduce by that much. In 48 hours, substance X would undergo two half lives. Its new activity would become A04 Substance Y would undergo three half lives. Its new activity would become A08 The total activity would be the sum: A04+A08=3A08