Tag: measurements and units

Quizzes (10) Questions (257)

Questions Related to measurements and units

Multiple choice physics measurements and units summary of si units fundamental quantities system of units

Force F  and density d are related as F is equal to A divided by B plus root d obtain dimensions of A

  1. $M^ \dfrac{3}{2} L ^ {\dfrac{-1}{2} }T^{-2}$
  2. $M^ \dfrac{3}{2} L ^ {\dfrac{-1}{2} }T ^ {2}$
  3. $M^ \dfrac{3}{2} L ^ {\dfrac{1}{2} }T ^ {2}$
  4. $M^ \dfrac{3}{2} L ^ {\dfrac{5}{2} }T ^ {-2}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Given F = A / (B + sqrt(d)), for the equation to be dimensionally consistent, B must have the same dimensions as sqrt(d), which is (ML^-3)^0.5 = M^0.5 L^-1.5. Since F = [MLT^-2], then A = F * (B + sqrt(d)) = [MLT^-2] * [M^0.5 L^-1.5] = M^1.5 L^-0.5 T^-2.