Concepts Of Physics MCQ Edition [Volume 1]PhysicsIntroduction to Physics
Assuming force, length, and time to be the fundamental quantities, determine the dimensions of density.
Options
- AFL⁻³ T^2
- BFL⁻⁴ T^2
- CF^2L⁻⁴ T^2
- DFL⁻² T^2
Correct answer
B. FL⁻⁴ T^2
Step-by-step solution
Density is defined as mass per unit volume. Density = M V = M L^3 From Newton's second law, force is the product of mass and acceleration. F = M A = M LT⁻² M = FL⁻¹T^2 Substituting the dimensions of mass in the expression for density: Density = FL⁻¹T^2 L^3 = FL⁻⁴T^2