Correct Answer: Option B

Explanation

N = N\(_o\)(\(\frac{1}{2}\))\(^{\frac{t}{T_{\frac{1}{2}}}}\)

N = 2g, N\(_o\) = 128g, t =24days and \(T_{\frac{1}{2}}\) = ?

2 = 128(\(\frac{1}{2}\))\(^{\frac{24}{T_{\frac{1}{2}}}}\)

\(\frac{2}{128}\) = (\(\frac{1}{2}\))\(^{\frac{24}{T_{\frac{1}{2}}}}\)

\(\frac{1}{64}\) =  (\(\frac{1}{2}\))\(^{\frac{24}{T_{\frac{1}{2}}}}\)

(\(\frac{1}{2}\))\(^6\) =  (\(\frac{1}{2}\))\(^{\frac{24}{T_{\frac{1}{2}}}}\)

6 = \(\frac{24}{T_{\frac{1}{2}}}\)

\(T_{\frac{1}{2}}\) = \(\frac{24}{6}\) = 4 days.

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