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In given time \( t=0 \), Activity of two radioactive substances \( A \) and \( B \) are equal. After time \( t \), the ratio of their activities \( \frac{R_{B}}{R_{A}} \)
\( \mathrm{P} \) decreases according to \( e^{-3 t} \). If the half life of \( A \) is In 2 , the

W half-life of \( B \) will be
(Main 2019, 9 Jan II)
(a) \( 4 \ln 2 \)
(b) \( \frac{\ln 2}{4} \)
(c) \( \frac{\ln 2}{2} \)
(d) \( 2 \ln 2 \)
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