An isotropic metallic cuboid block shown in the figure has a coefficient of linear thermal expansion α, Young's modulus E and Poisson's ratio v. The dimensions of the cuboid are a, b and c in the X, Y and Z directions, respectively. It is rigidly constrained against expansion in the X direction. However, it is free to expand in the Y and Z directions. It is initially stress-free. Subsequently, it is heated so that its temperature increases by ΔT. What would be the CHANGE in the dimension of the cuboid in the Y direction? Assume linear elasticity, and that thermal as well as mechanical strains are infinitesimally small.