Young's modulus is a measure of the stiffness of a material and is defined as the ratio of stress to strain. For a perfectly rigid body, there is no deformation under applied stress, implying that the strain is zero. Since Young's modulus is the ratio of stress to strain, for a perfectly rigid body, it would be infinite, as the strain approaches zero.
So, the correct answer is (C): Infinity
The elastic behavior of material for linear stress and linear strain, is shown in the figure. The energy density for a linear strain of 5×10–4 is ____ kJ/m3. Assume that material is elastic up to the linear strain of 5×10–4