Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Pressure and energy density have the same dimensional formula. Reason (R): Energy density is defined as the force acting per unit area. In the light of the above statements, choose the most appropriate answer from the options given below.

Step-by-step solution

Assertion (A) is true: The dimensional formula of pressure is P = Force Area = [ MLT ⁻²] [ L ^2] = [ ML ⁻¹ T ⁻²] . Energy density is energy per unit volume, so its dimensional formula is u = Energy Volume = [ ML ^2 T ⁻²] [ L ^3] = [ ML ⁻¹ T ⁻²] . Thus, pressure and energy density have the same dimensional formula. Reason (R) is false: Energy density is defined as the energy stored per unit volume, not as force acting per unit area (which is the definition of pressure). Although they are dimensionally equivalent, th