Consider the two different first order reactions given below \( \begin{aligned} & A + B \rightarrow C \text { (React…

Consider the two different first order reactions given below
\(
\begin{aligned}
& A + B \rightarrow C \text { (Reaction 1) } \\
& P \rightarrow Q \text { (Reaction 2) }
\end{aligned}
\)

The ratio of the half life of reaction 1 : reaction 2 is 5:2. If \(t_1\) and \(t_2\) represent the time taken to complete \(2 / 3^{ rd }\) and \(4 / 5^{\text {th }}\) of reaction 1 and reaction 2, respectively, then the value of the ratio \(t _1: t _2\) is ............... \(\times 10^{-1}\) (nearest integer)
[Given : \(\log _{10}(3)=0.477\) and \(\log _{10}(5)=0.699\) ]

[JEE Main 2024, 06 Apr (Shift 2)]