An example of two physical quantities that have the same dimensions is:
- Energy (E) and Torque (τ) Both energy and torque have the same dimensions, which are given by [M L^2 T^−2], where M represents mass, L represents length, and T represents time. Energy is the capacity to do work and has units such as joules (J), while torque is the measure of rotational force and has units such as newton-meters (N·m).
It's worth noting that there are various other pairs of physical quantities that share the same dimensions. This occurs when the fundamental dimensions (mass, length, time, electric charge, etc.) in the units of measurement match for both quantities.