A B, C, and D are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation AD=C in (BD) holds true. Then which of the combination is not meaningful. a) A (square)-B (square) x C (square). b) (A\B) -C c) (A-C)\D
Hey!
See, as given in question no quantity is dimensionless, but ln(BD) is a dimension less quantity as natural log has no dimensions.
Which means [A] [D] =[C]
And after checking a the options, we can conclude that c option that is (A-C) /D is not a meaningful quantity as A and C has different dimensions, thus can't be subtracted from each other.
Hope it helped to clear your delimma.
Thank you