Dimensional AnalysisHardQuestion 5037
Question
Which of the following sets of quantities are all dimensionless?
- AStrain, angle, refractive indexCorrect
- BFrequency, velocity, acceleration
- CStrain, temperature, pressure
- DAngle, momentum, energy
Correct answer
Strain, angle, refractive index
Explanation
Strain = ΔL/L (dimensionless), angle = arc/radius (dimensionless), refractive index = c/v (dimensionless). All three are dimensionless quantities.