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 answer is D

\(T_ {^1/_2}\) = 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 \(day^{-1}\)