According to the principle of homogeneity of dimensions, in an equation A = B + C, what must be true about the dimensions of A, B, and C? MCQ with Answer and Explanation

The principle of homogeneity states that you can only add or subtract physical quantities that have the exact same dimensional formula (you can't add mass to length). Therefore, in the equation A = B + C, the terms B and C must have the same dimensions, and their sum will yield a quantity A that also shares those exact same dimensions.