Final answer:
Ratios created from different dimensional quantities nullify their components' dimensions, resulting in a pure number. This is essential for ensuring dimensional consistency in physics equations.
Step-by-step explanation:
Ratios created from different dimensional quantities nullify the dimensional quantities of each component. This means that when a ratio is formed between quantities of different dimensions, the resulting ratio is a pure number, without any units. Dimensional analysis is crucial in physics and engineering because it helps in verifying that equations are dimensionally consistent. This consistency is significant for the correctness of physical equations.
The significance of dimensional analysis is that it allows us to check the validity of equations and help us remember the correct basic form of the equations. It ensures that we don't combine quantities of different dimensions in ways that don't make physical sense, even though it doesn't help with dimensionless factors. For instance, adding 10 units and 15 units of different physical dimensions directly would not yield a physically meaningful resultant because the units would not match.