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A radioactive nucleus \( \mathrm{A} \) with a half life \( \mathrm{T} \), decays into a nucleus \( \mathrm{B} \). At \( \mathrm{t}=0 \), there is no nucleus \( \mathrm{B} \). At sometime \( t \), the ratio of the number of \( B \) to that of \( A \) is 0.3 . Then, \( t \) is given by :
\( \mathrm{P} \)
(A) \( t=\frac{T}{\log (1.3)} \)
(B) \( \mathrm{t}=\frac{\mathrm{T}}{2} \frac{\log 2}{\log 1.3} \)
(C) \( t=T \frac{\log 1.3}{\log 2} \)
(D) \( t=T \log (1.3) \)
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