Chemistry Question from JEE Main 2026 · 23 January, Shift 1

For the following gas phase equilibrium reaction at constant temperature, $\mathrm{NH_3(g)} = \frac{1}{2}\mathrm{N_2(g)} + \frac{3}{2}\mathrm{H_2(g)}$ if the total pressure is $\sqrt{3} \, \text{atm}$ and the pressure equilibrium constant ($K_p$) is $9 \, \text{atm}$, then the degree of dissociation is given as $(x \times 10^{-2})^{-1/2}$. The value of $x$ is _____ (nearest integer)