Question on: JAMB Physics - 2023
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The half life of a radioactive material is 12 days. Calculate the decay constant.
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A
0.8663 \(day^{-1}\)
B
0.04331 \(day^{-1}\)
C
0.17325 \(day^{-1}\)
D
0.05775 \(day^{-1}\)
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Correct Option: D
The decay constant (\(\lambda\)) can be calculated using the formula:
\[ \lambda = \frac{0.693}{\text{half-life}} \]
Given that the half-life is 12 days, we can substitute this into the formula:
\[ \lambda = \frac{0.693}{12} \]
Calculating this gives:
\[ \lambda \approx 0.05775 \, \text{day}^{-1} \]
Therefore, the correct answer is: \(0.05775 \, \text{day}^{-1}\).
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