Question Detail
Question
If F + (x/density) + C is dimensionally correct, then the dimensions of x are:
Correct Answer
Option D is the correct answer.
Detailed Explanation
F is force [MLT⁻²]. Density is [ML⁻³]. So x/density must have same dimension as F. So [x]/[ML⁻³] = MLT⁻² → [x] = MLT⁻² * ML⁻³ = M²L⁻²T⁻².
Hint
All added terms must have same dimension as F.