If the density of the material increases, the value of Young's modulus

Explanation

Young's modulus is a measure of the stiffness of a solid material. It is defined as the ratio of stress (force per unit area) to strain (proportional deformation) in a material in the linear elasticity regime of a uniaxial deformation. Generally, in many solid materials, an increase in density is associated with a stronger atomic or molecular structure, which means that the material can withstand more stress without deforming, thus increasing Young's modulus. Therefore, the correct answer is that Young's modulus increases with an increase in density. The other options, suggesting a decrease or a non-linear relationship, are not typically observed in the majority of solid materials.