AP EAMCET · PHYSICS · Nuclear Physics
If the time taken for a radioactive substance to decay \(8 \%\) to \(77 \%\) is 12 minutes, then the half life of the substance in minutes is
- A 24
- B 18
- C 12
- D 6
Answer & Solution
Correct Answer
(D) 6
Step-by-step Solution
Detailed explanation
\(N_{initial\_remaining} = 100\% - 8\% = 92\%\) \(N_{final\_remaining} = 100\% - 77\% = 23\%\) \(\frac{N_{final\_remaining}}{N_{initial\_remaining}} = \frac{23}{92} = \frac{1}{4}\) \(\frac{1}{4} = (\frac{1}{2})^{t/T_{1/2}}\) \((\frac{1}{2})^2 = (\frac{1}{2})^{12/T_{1/2}}\)…
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