The half life of a radioactive material is 12 days. Calculate the decay constant.
PHYSICS
JAMB 2023
The half life of a radioactive material is 12 days. Calculate the decay constant.
- A. 0.8663 day \(day^{-1}\)
- B. 0.04331 day \(day^{-1}\)
- C. 0.17325 day \(day^{-1}\)
- D. 0.05775 day \(day^{-1}\)
Correct Answer: D. 0.05775 day \(day^{-1}\)
Explanation
\(T_ {^1/_2}\) = 12 days ;V=?
\(T_ {^1/_2}\) = \(\frac{0.693}{γ}\)
⇒γ ⇒\(\frac{0.693}{t_{^1/_2}}\)
⇒γ =\(\frac{0.693}{12}\)
⇒γ= 0.05775 \(day^{-1}\)
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