How is the validity of an equation checked? Write an example.

Question

Accepted Answer

The validity of an equation is checked using unit (dimensional) analysis: the fundamental units of the quantity on the left-hand side (LHS) are compared with the fundamental units of the quantity on the right-hand side (RHS). If LHS unit = RHS unit, the equation is valid; otherwise it is invalid. Example: s = v × t. LHS unit = m. RHS unit = (m·s⁻¹) × s = m. Since LHS = RHS, the equation is valid.