$600 \mathrm{~mL}$ of $0.01~\mathrm{M} ~\mathrm{HCl}$ is mixed with $400 \mathrm{~mL}$ of $0.01~\mathrm{M} ~\mathrm{H}_{2} \mathrm{SO}_{4}$. The $\mathrm{pH}$ of the mixture is ___________ $\times 10^{-2}$. (Nearest integer)

[Given $\log 2=0.30$

$\log 3=0.48$

$\log 5=0.69$

$\log 7=0.84$

$\log 11=1.04]$