Properties of Solids and Liquids: JEE Main 2025 Physics question

Two slabs with square cross section of different materials (1, 2) with equal sides ($l$) and thickness $d_1$ and $d_2$ such that $d_2 = 2d_1$ and $l > d_2$. Considering lower edges of these slabs are fixed to the floor, we apply equal shearing force on the narrow faces. The angle of deformation is $\theta_2 = 2\theta_1$. If the shear moduli of material 1 is $4 \times 10^9\ \mathrm{N/m^2}$, then shear moduli of material 2 is $x \times 10^9\ \mathrm{N/m^2}$, where value of $x$ is ______.