NDA2025General AbilityGeneral ScienceActual
Which one of the following is dimensionless quantity?
Options
- AStress
- BStrain
- CPressure
- DForce
Correct answer
B. Strain
Step-by-step solution
Stress is defined as force per unit area. Its dimensional formula is [MLT⁻²] [L^2] = [ML⁻¹T⁻²] . Strain is defined as the ratio of change in dimension to the original dimension. Its dimensional formula is [L] [L] = [M^0L^0T^0] . Thus, it is a dimensionless quantity. Pressure is defined as force per unit area. Its dimensional formula is [MLT⁻²] [L^2] = [ML⁻¹T⁻²] . Force is defined as mass times acceleration. Its dimensional formula is [MLT⁻²] . Answer: Strain