Chemistry Question from JEE Main 2025 · 4 April, Shift 1

The pH of a $0.01 \, \text{M}$ weak acid $\mathrm{HX}$ $\left(\mathrm{K}_{\mathrm{a}}=4 \times 10^{-10}\right)$ is found to be $5$ . Now the acid solution is diluted with excess of water so that the pH of the solution changes to $6$ . The new concentration of the diluted weak acid is given as $\mathrm{x} \times 10^{-4} \, \text{M}$. The value of $x$ is _____ (nearest integer).