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
PYQ weightage by concept
9 concepts · 14 PYQs — where the marks actually sit, so you know what to drill first
| Concept | PYQs | Share |
|---|---|---|
| Units of length and distance — light year, ångström, nanometre | 4 | 29% |
| SI derived units named after scientists | 2 | 14% |
| Units of energy and power — joule, kWh, and the force trap | 2 | 14% |
| Physical quantities, units, and the seven SI base units | 1 | 7% |
| Unit-system conversion — CGS to SI (the dyne) | 1 | 7% |
| Dimensional formulas — writing [M^a L^b T^c] | 1 | 7% |
| Dimensionless quantities — strain, angle, refractive index | 1 | 7% |
| Identifying a quantity from its units or dimensions | 1 | 7% |
| Measurement — precision, accuracy and least count | 1 | 7% |
Formula & revision sheet
6 formulas · 3 reference tables · 13 gotchas across all subtopics — the exam-eve cheat-sheet
Formula & revision sheet
6 formulas · 3 reference tables · 13 gotchas across all subtopics — the exam-eve cheat-sheet
Formulas (6)
- Units of energy and power — joule, kWh, and the force trap · Kilowatt-hour to joules
- Unit-system conversion — CGS to SI (the dyne) · CGS force unit to SI
- Dimensional formulas — writing [M^a L^b T^c] · Dimension of the gravitational constant G
- Dimensionless quantities — strain, angle, refractive index · Strain is a pure ratio
- Identifying a quantity from its units or dimensions · Thrust ÷ impulse is a frequency
- Measurement — precision, accuracy and least count · Least count of a metre scale
Reference tables (3)
Physical quantities, units, and the seven SI base units7 rows
| Base quantity | SI unit | Symbol |
|---|---|---|
| Length | metre | m |
| Mass | kilogram | kg |
| Time | second | s |
| Electric current | ampere | A |
| Temperature | kelvin | KQ NDA 2025 match-list — Temperature → Kelvin, Mass → Kilogram (weight is a force → Newton, pressure → Pascal). |
| Amount of substance | mole | mol |
| Luminous intensity | candela | cd |
SI derived units named after scientists6 rows
| Unit (symbol) | Quantity | In base units |
|---|---|---|
| Newton (N) | Force | kg·m/s² |
| Pascal (Pa) | Pressure, stress | N/m² = kg/(m·s²) |
| Joule (J) | Work, energy | N·m = kg·m²/s² |
| Watt (W) | Power | J/s = kg·m²/s³ |
| Hertz (Hz) | Frequency | s⁻¹ |
| Henry (H) | Inductance | kg·m²/(s²·A²)Q NDA 2017 — the symbol H stands for Henry (after Joseph Henry), NOT Hertz. |
Units of length and distance — light year, ångström, nanometre5 rows
| Unit | Measures | Value |
|---|---|---|
| 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). |
Watch out for (13)
- Mass is kilogram; weight is a force (newton)→ Physical quantities, units, and the seven SI base units
- H is Henry, not Hertz→ SI derived units named after scientists
- Stress and pressure share a unit→ SI derived units named after scientists
- Light year is DISTANCE, not time→ Units of length and distance — light year, ångström, nanometre
- 1 nm = 10 Å (not 0.1 Å)→ Units of length and distance — light year, ångström, nanometre
- kg·m/s² is force, not energy→ Units of energy and power — joule, kWh, and the force trap
- 1 kWh = 3.6 × 10⁶ J, not 3600→ Units of energy and power — joule, kWh, and the force trap
- 1 dyne = 10⁻⁵ N (not 10⁻³ N)→ Unit-system conversion — CGS to SI (the dyne)
- G carries a NEGATIVE mass power: M⁻¹→ Dimensional formulas — writing [M^a L^b T^c]
- Strain is dimensionless; stress is NOT→ Dimensionless quantities — strain, angle, refractive index
- Impulse is force × TIME, not force→ Identifying a quantity from its units or dimensions
- Precision is set by the least count→ Measurement — precision, accuracy and least count
- Precision ≠ accuracy→ Measurement — precision, accuracy and least count