Strain has no units at all. Divide one length by another, and the units simply cancel out. This article covers dimensions and measurement in physics.
✊ Must Know
Fundamental Quantities and Dimensions
- Seven FundamentalsPhysics has seven fundamental quantities: length, mass, time, electric current, temperature, amount of substance, and luminous intensity. Every other quantity is derived from these.
- Scalar vs. VectorA scalar quantity has only magnitude, like speed or mass. A vector quantity has both magnitude and direction, like velocity or force.
- Common SI UnitsThe joule measures energy, the pascal measures pressure, the hertz measures frequency, and the newton second measures momentum and impulse.
- Astronomical DistancesA light year is the distance light travels in one year. A parsec, about 206,265 astronomical units, is even larger.
- Dimensional FormulaA quantity’s dimensional formula expresses it in terms of base quantities: mass (M), length (L), and time (T).
📘 Good to Know
Tiny and Vast Scales, Precision Tools
- Tiny UnitsThe angstrom measures atomic-scale distances; the fermi measures nuclear-scale distances. Both are far smaller than a millimetre.
- The New KilogramSince 2019, the kilogram has been officially defined using the Planck constant, replacing the old physical metal-cylinder standard kept in France.
- Precision InstrumentsA vernier calliper and a screw gauge are both precision tools. A screw gauge typically has a finer least count, useful for very small measurements.
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🌟 Great to Know
Dimensional Analysis in Practice
- The Matching RuleTwo quantities can only be added, or set equal, if their dimensional formulas match exactly. This is a powerful, quick way to catch a wrong physics equation.
- Dimensionless QuantitiesSome quantities, like strain or relative density, carry no units at all, since they’re built from a ratio of two identical kinds of measurement. Spotting these avoids a common exam trap.
- Worked ExampleStrain is a change in length divided by an original length: metres divided by metres, leaving nothing behind. Stress, by contrast, is force divided by area, and keeps real physical units.
- Why It Matters PracticallyPrecision instruments like the vernier calliper and screw gauge matter beyond exams too, since measurement error directly affects real experimental results.
📝 Exam Point of View
Exam Point of View
- NDA-NA-1 2025, Q139Of stress, strain, pressure, and force, only strain is dimensionless, since it’s a ratio of two lengths (or volumes) of the same kind. View this question on the full NDA-NA-1 2025 paper →
- NDA-NA-2 2025, Q53One parsec is about 2 × 10⁵ astronomical units — not 10³, 10⁴, or 10⁶. View this question on the full NDA-NA-2 2025 paper →
- NDA-NA-II 2016, Q76A precise-reasoning trap: pressure is scalar specifically because only the force component normal to the surface counts, not simply because “force and area are both vectors.” View this question on the full NDA-NA-II 2016 paper →
- NDA-NA-II 2017, Q110A light year measures distance, not time or a quantity of light received. View this question on the full NDA-NA-II 2017 paper →
- The PatternThese questions reward precise reasoning over rote recall: knowing WHY a quantity is dimensionless or scalar, not just that it is.
Related Topics
- GenSci0010 — Units, Measurement and Scientific Instruments — the general-science overview of SI units and everyday measuring instruments this article’s physics-specific dimensions build on.
- GenSci0001 — Physics Fundamentals for Competitive Exams — covers the forces and mechanics whose dimensions this article analyses.
- NDA-NA-II 2016 GA Paper — contains the pressure-is-scalar PYQ cited above.
- Browse all General Science articles
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