Question

the the dimensional consistency of an equation is based on the principle​

Answer 1

Answer: This principle is based on the fact that two quantities of the same dimension only can be added up, and the resulting quantity also possess the the same dimension. i.e. In equation X + Y = Z is valid if the dimensions of X, Y and Z are same.

Answer 2

The the dimensional consistency of an equation is based on the principle​ of homogeneity of dimensions.

Explanation:

• The the dimensional consistency of an equation is based on the principle​ of homogeneity of dimensions.
• Dimensional consistency means having the same dimensions.
• An equation will be dimensionally correct if it has the same dimension on either side of the equation.
• According to this principal only those quantities which have same dimensions can be added up and the resulting quantity also have the same dimensions.
• For example;
• A + B = C is only correct if the dimensions of A, B and C are same.