Chemistry Question from JEE Main 2023 · 30 January, Shift 1

600 mL of $0.01 \, \text{M}$ HCl is mixed with 400 mL of $0.01 \, \text{M}$ of $\text{H}_2\text{SO}_4$. The pH of the mixture is _____$\times 10^{-2}$. (Nearest integer)

Given:

$$\log 2 = 0.30, \quad \log 3 = 0.48, \quad \log 5 = 0.69, \quad \log 7 = 0.84, \quad \log 11 = 1.04.$$