AP EAMCET · PHYSICS · Nuclear Physics
The half-life period of a radioactive element A is 62 years. It decays into another stable element B. An archeologist found a sample in which A and B are in 1:15 ratio. The age of the sample is
- A 248 years
- B 186 years
- C 124 years
- D 310 years
Answer & Solution
Correct Answer
(A) 248 years
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { } \frac{\mathrm{N}_{\mathrm{A}}}{\mathrm{N}_{\mathrm{B}}}=\frac{1}{15} \Rightarrow \frac{\mathrm{~N}}{\mathrm{~N}_0-\mathrm{N}}=\frac{1}{15} \\ & \Rightarrow 15 \mathrm{~N}=\mathrm{N}_0-\mathrm{N} \Rightarrow \frac{\mathrm{N}}{\mathrm{N}_0}=\frac{1}{16}…
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