Identify the pair of physical quantities that possesses the same dimensional formula as that of energy density.

Step-by-step solution

Energy density is defined as energy per unit volume. Dimensional formula of energy density = [M L^2 T⁻²] [L^3] = [M L⁻¹ T⁻²] Pressure is defined as force per unit area. Dimensional formula of pressure = [M L T⁻²] [L^2] = [M L⁻¹ T⁻²] Bulk modulus is defined as the ratio of volumetric stress to volumetric strain. Dimensional formula of bulk modulus = [M L⁻¹ T⁻²] [M^0 L^0 T^0] = [M L⁻¹ T⁻²] Thus, pressure and bulk modulus have the same dimensional formula as that of energy density. Answer: Pressure and bulk modulus