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A radioactive nuclide can decay simultaneously by two different processes which have half life, $T_{1}$ and $T_{2} .$ The effective half life of the nuclide is T then

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$T = T_{1} + T_{2}$

$T = T_{1} - T_{2}$

$\frac{1}{T} = \frac{1}{T_{1}} + \frac{1}{T_{2}}$

$\frac{1}{T} = \frac{1}{T_{1}} - \frac{1}{T_{2}}$

answer is C.

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Detailed Solution

$A = A_{1} + A_{2}$

$\begin{array}{l} λ N = λ_{1} N + λ_{2} N \\ \frac{1}{T} = \frac{1}{T_{1}} + \frac{1}{T_{2}} \end{array}$

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