NDA Physics · Teaching notes

Units, Measurement and Dimensions — NDA Physics

Units, Measurement and Dimensions is NDA Physics's most reliable scoring chapter — about 14 PYQs across 2017–2025, and roughly three-quarters of them are EASY one-line recall. Almost every question reduces to a fixed fact: a light year is a unit of DISTANCE (asked four separate times), 1 dyne = 10⁻⁵ N, H stands for Henry, 1 kWh = 3.6×10⁶ J, strain is dimensionless. The handful of MODERATE/HARD items just apply one tool — the dimensional formula [M^a L^b T^c] — to find the dimension of G or to identify an unknown quantity (thrust/impulse turns out to be frequency). The chapter teaches in one continuous arc, all inside a single subtopic: first the foundations (physical quantity, unit, the seven SI base units, fundamental vs derived); then the named SI derived units (Newton, Pascal, Joule, Watt, Henry — and the fact that stress and pressure share a unit); the special units of length/distance (light year, ångström, nanometre) and of energy/power (joule, kWh, the force-vs-energy trap); unit-system conversion (CGS ↔ SI, the dyne); and finally the dimensional method itself — writing dimensional formulas, spotting dimensionless quantities, identifying a quantity from its dimensions, and reading least count / precision off an instrument. Memorise the reference tables, learn the one dimensional-analysis recipe, and this chapter is near-free marks.

Subtopic notes

PYQ weightage by concept

9 concepts · 14 PYQs — where the marks actually sit, so you know what to drill first

Units, Measurement and Dimensions14 PYQs · 100%
ConceptPYQsShare
Units of length and distance — light year, ångström, nanometre429%
SI derived units named after scientists214%
Units of energy and power — joule, kWh, and the force trap214%
Physical quantities, units, and the seven SI base units17%
Unit-system conversion — CGS to SI (the dyne)17%
Dimensional formulas — writing [M^a L^b T^c]17%
Dimensionless quantities — strain, angle, refractive index17%
Identifying a quantity from its units or dimensions17%
Measurement — precision, accuracy and least count17%

Formula & revision sheet

6 formulas · 3 reference tables · 13 gotchas across all subtopics — the exam-eve cheat-sheet

Units, Measurement and Dimensions

Formulas (6)

Reference tables (3)

Physical quantities, units, and the seven SI base units7 rows
Base quantitySI unitSymbol
Lengthmetrem
Masskilogramkg
Timeseconds
Electric currentampereA
TemperaturekelvinKQ
NDA 2025 match-list — Temperature → Kelvin, Mass → Kilogram (weight is a force → Newton, pressure → Pascal).
Amount of substancemolemol
Luminous intensitycandelacd
The seven SI base units. Mass is the kilogram; weight is a force (newton), not a base unit — the classic match-list trap.
SI derived units named after scientists6 rows
Unit (symbol)QuantityIn base units
Newton (N)Forcekg·m/s²
Pascal (Pa)Pressure, stressN/m² = kg/(m·s²)
Joule (J)Work, energyN·m = kg·m²/s²
Watt (W)PowerJ/s = kg·m²/s³
Hertz (Hz)Frequencys⁻¹
Henry (H)Inductancekg·m²/(s²·A²)Q
NDA 2017 — the symbol H stands for Henry (after Joseph Henry), NOT Hertz.
Stress and pressure share the same unit (N/m²). The symbol H is Henry (inductance); Hz is the hertz (frequency).
Units of length and distance — light year, ångström, nanometre5 rows
UnitMeasuresValue
Light year (ly)Distance (astronomical)9.46 × 10¹⁵ mQ
Asked 4× (2017, 2018, 2021) — light year is DISTANCE, never time, never light intensity.
Astronomical unit (AU)Distance (Earth–Sun)1.496 × 10¹¹ m
Parsec (pc)Distance (astronomical)3.086 × 10¹⁶ m ≈ 3.26 ly
Nanometre (nm)Length (atomic-scale)10⁻⁹ m
Ångström (Å)Length (atomic-scale)10⁻¹⁰ mQ
NDA 2018 — 1 nm = 10 Å (since nm is 10⁻⁹ m and Å is 10⁻¹⁰ m).
Light year, AU and parsec all measure DISTANCE. 1 nm = 10 Å. The light-year-is-distance fact is the chapter's single highest-yield line.