The half life of a radioactive material is 12 days. Calculate the decay constant.

The half life of a radioactive material is 12 days. Calculate the decay constant.
A. 0.8663 day−1
B. 0.04331 day−1
C. 0.17325 day−1
D. 0.05775 day−1

Correct Option: Answer is D
The correct answer to calculate the decay constant of the radioactive material with a half-life of 12 days is:
B. 0.04331 day^-1
Here’s how we get it:
1. Formula: The decay constant (λ) for a radioactive material is related to its half-life (t_half) by the following formula:
λ = ln(2) / t_half
2. Plug in the values: Substitute the half-life of 12 days into the formula:
λ = ln(2) / 12 days ≈ 0.04331 day^-1
Therefore, the decay constant of the radioactive material is approximately 0.04331 day^-1.

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