When SI units are plugged into an equation,it is found that the units balance.Which of the following can we expect to be true for this equation?
A)The equation will be dimensionally correct.
B)The equation will be dimensionally correct except sometimes in cases when the right-hand side of the equation has more than one term.
C)The equation will not be dimensionally correct.
D)All constants of proportionality will be correct.

Question

Quizplus · Accepted Answer

If the units balance in an equation, it means that the left-hand side and the right-hand side have the same dimensions. This is known as dimensional analysis. If we use SI units, which are based on fundamental units such as meters, kilograms, and seconds, then the dimensions of each term in the equation can be expressed in terms of these fundamental units. If the units balance, then each term on the left-hand side has the same dimensions as each term on the right-hand side. This ensures that the equation is dimensionally correct. However, it does not guarantee that all the constants of proportionality in the equation are correct.

When SI Units Are Plugged into an Equation,it Is Found