AP EAMCET · PHYSICS · Nuclear Physics
A radioactive element \(A\) converts into another stable element \(B\), half-life of \(A\) is \(1.5 \mathrm{hrs}\). After time \(t\) the ratio of atoms of \(A\) and \(B\) is found to be \(1: 8\), then \(t\) in hours is
- A \(6\)
- B \(8\)
- C Between 3 to 4.5
- D Between 4.5 to 6
Answer & Solution
Correct Answer
(D) Between 4.5 to 6
Step-by-step Solution
Detailed explanation
Number of atoms of \(A\) and \(B\) are as shown For \(\mathrm{A} \rightarrow\) \(N_0 \xrightarrow{T} \frac{N_0}{2} \xrightarrow{T} \frac{N_0}{4} \xrightarrow{T} \frac{N_0}{8} \stackrel{T}{\longrightarrow} \frac{N_0}{16} \ldots \ldots .\). for \(B \rightarrow\)…
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