Chemistry Question from JEE Main 2026 · 21 January, Shift 1

The pH and conductance of a weak acid ($HX$) was found to be $5$ and $4\times10^{-5} \, \text{S}$, respectively. The conductance was measured under standard condition using a cell where the electrode plates having a surface area of $1 \, \text{cm}^2$ were at a distance of $15 \, \text{cm}$ apart. The value of the limiting molar conductivity ($\Lambda_m^\circ$) is _____ $\text{S m}^2 \, \text{mol}^{-1}$ (nearest integer) (Given: degree of dissociation $\alpha \ll 1$)