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Practical Units

NEET > Physics > Physical World and Measurement > Units, Dimensions and Measurement > Practical Units

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NEET Physics — Units, Dimensions and Measurement

Practical Units – Complete Notes, Revision, Important Questions & Downloads

Practical Units covers three families of non-SI scales that physics problems routinely invoke: Length Units (fermi, X-ray unit, angstrom, micron, astronomical unit, light year, parsec), Mass Units (Chandrasekhar limit, metric tonne, quintal, atomic mass unit), and Time Units (year, lunar month, solar day, sidereal day, shake). NEET tests these through direct conversion MCQs — for instance, expressing an interstellar distance in parsecs requires knowing 1 parsec = 3.26 light years ≈ 3.08 × 10¹⁶ m, while atomic-radius problems need 1 Å = 10⁻¹⁰ m. Confusing the order-of-magnitude exponent (e.g. writing 10⁻¹³ for angstrom instead of 10⁻¹⁰) is the single most frequent error.

⬇ Download Notes PDFView Important Questions →
3 SubtopicsUnit ConversionsDirect Recall
Expected QuestionsQ
0–1
Practical-unit conversion questions appear roughly once every 2–3 NEET cycles, typically as a one-step recall or order-of-magnitude MCQ inside the Units & Measurement slot.
Time Required⏱
1–2 hours
One session to memorise all conversion factors, one session to drill conversion MCQs and verify exponent recall.
Difficulty⚡
Easy
No derivation or multi-step reasoning is required; the challenge is purely memorisation of conversion factors and their correct powers of ten.
NRI USA Curriculum GapUS
Low–Medium
US AP Physics courses use SI exclusively and rarely require fermi, angstrom, or parsec conversions. NRI students may need extra drill on astronomical and sub-atomic length scales not covered in the College Board syllabus.
3Subtopics
8+Practice Questions
4Free Downloads
1–2 hrsPrep Time
⬇ Get Free Downloads

NEET Weightage — Practical Units

Units, Dimensions and Measurement (Chapter 1)
NEET YearQuestions from this TopicBarMarks
20240
 
0 Q
0
20231
 
1 Q
4
20220
 
0 Q
0
20211
 
1 Q
4
20200
 
0 Q
0
20191
 
1 Q
4
6-Year Total (2019–2024)1–3 4–12
Light year and parsec conversions are the most frequently tested length units — know that 1 ly = 9.46 × 10¹⁵ m and 1 pc = 3.26 ly by heart.
Atomic mass unit (1 amu = 1.67 × 10⁻²⁷ kg) appears in nuclear-physics and modern-physics cross-questions where mass–energy equivalence is involved.

The sidereal-day vs solar-day distinction (4-minute difference) has appeared in assertion–reason format; remember the Earth must rotate an extra amount to face the Sun again after one orbit day.
📊
~0.5
Avg Questions / Year
🎯
4–12
Total Marks (6 yrs)
📈
Direct
Pattern
⚡
Easy
Difficulty

Exam Strategy for Practical Units in NEET Physics

1

Build a conversion-factor table and memorise the exponents Write all 7 length units, 4 mass units, and 5 time units in a single table with their SI equivalents. Focus on the power-of-ten exponent: fermi = 10⁻¹⁵, X-ray unit = 10⁻¹³, angstrom = 10⁻¹⁰, micron = 10⁻⁶. The trap: swapping the exponent between angstrom (10⁻¹⁰) and X-ray unit (10⁻¹³). Verify by recalling that angstrom measures atomic radii (~1–10 Å) while X-ray wavelengths are smaller.

2

Link each unit to its physical context in NEET problems Fermi measures nuclear radii (~1–10 fm), angstrom measures atomic radii and bond lengths, micron measures cell sizes, AU measures planetary distances, and light year/parsec measure stellar distances. When NEET states a distance at the nuclear scale, instantly identify ‘fermi’; at the atomic scale, use ‘angstrom’. The trap: using ‘micron’ for atomic scales — micron is 10⁴ times larger than an angstrom.

3

Drill conversion chains between related units Practice two-step conversions: parsec → light year → metre, and amu → kg → MeV/c². NEET sometimes provides one link and asks you to compute the other. The trap: forgetting whether 1 parsec = 3.26 ly or 3.26 × 10³ ly — the correct value is 3.26 ly (no extra factor of 10³).

4

Use mnemonic ordering for quick recall during the exam Arrange length units from smallest to largest: fermi < X-ray unit < angstrom < micron < metre < AU < light year < parsec. If a question asks ‘which is the largest unit of length’, parsec is always the answer among these. The trap: confusing light year (distance) with light second or light minute, which are much smaller.

Download Study Notes — Practical Units

PDF · Cheat Sheet · MCQ Set · PYQ
📘
Practical Units — Full Notes
Complete notes covering all practical length, mass, and time units with SI conversion factors, physical contexts, and worked NEET-style examples for fermi, angstrom, parsec, amu, and sidereal day.
3 subtopics16 unit conversionsPhysical context
Download PDF
📗
Practical Units — Formula Sheet
One-page quick-reference with every conversion factor, power-of-ten exponent, and size-ordering mnemonic — key formulas, conditions, and one worked example per subtopic.
1 pageAll conversions
Download PDF
📙
Practical Units — MCQ Practice
12 NEET-style MCQs testing unit conversions across length, mass, and time scales: express stellar distances in parsecs, nuclear radii in fermi, and geological time in seconds.
12 MCQsDetailed solutions
Download PDF
📕
Practical Units — NEET-Style PYQ Practice
Collection of NEET-style questions involving practical unit conversions — order-of-magnitude estimation, inter-unit chain conversions, and assertion–reason on solar vs sidereal day.
NEET-styleAnswer key included
Download PDF

Subtopics in Practical Units

2-Column Table
Column AColumn B
Length Units↗
Mass Units↗
Time Units↗

Rapid Revision — Practical Units

Concept → Trap → Example

1) Length Units

Conversion Factors

1 fermi = 10⁻¹⁵ m, 1 XU = 10⁻¹³ m, 1 Å = 10⁻¹⁰ m, 1 μm = 10⁻⁶ m, 1 AU = 1.49 × 10¹¹ m, 1 ly = 9.46 × 10¹⁵ m, 1 pc = 3.26 ly.

  • Arrange by scale: fermi (nuclear) < XU (X-ray wavelength) < angstrom (atomic radius) < micron (cell size) < AU (Earth–Sun) < light year (nearby stars) < parsec (stellar parallax).
  • The most common NEET trap is confusing the exponent of angstrom (10⁻¹⁰) with that of X-ray unit (10⁻¹³) or fermi (10⁻¹⁵); remember angstrom starts with ‘A’ and its exponent is –10.
  • 1 parsec is defined via parallax of 1 arc-second at a baseline of 1 AU — this definition sometimes appears in NEET assertion–reason questions.
Example (NEET-style)Convert the radius of a hydrogen atom (0.53 Å) to metres: 0.53 Å = 0.53 × 10⁻¹⁰ m = 5.3 × 10⁻¹¹ m. In fermi: 5.3 × 10⁻¹¹ / 10⁻¹⁵ = 5.3 × 10⁴ fm.

2) Mass Units

Practical Scales

1 Chandrasekhar unit (CSU) = 1.4 × M_sun = 2.8 × 10³⁰ kg, 1 metric tonne = 1000 kg, 1 quintal = 100 kg, 1 amu = 1.67 × 10⁻²⁷ kg.

  • The atomic mass unit is the most NEET-relevant mass unit here: it connects to nuclear physics where proton mass ≈ neutron mass ≈ 1 amu, and mass defect calculations use Δm in amu × 931.5 MeV/amu.
  • The most common trap is confusing metric tonne (1000 kg) with quintal (100 kg) — tonne is ten times a quintal.
  • Chandrasekhar limit (1.4 M_sun) determines whether a dying star becomes a white dwarf or collapses further; NEET occasionally asks this as a factual recall item in modern physics.
Example (NEET-style)Mass of a carbon-12 atom = 12 amu = 12 × 1.67 × 10⁻²⁷ kg = 2.004 × 10⁻²⁶ kg. This is the reference mass for defining the atomic mass unit.

3) Time Units

Astronomical & Nuclear Scales

1 year = 365.25 days = 3.156 × 10⁷ s, 1 lunar month = 27.3 days, 1 sidereal day is shorter than 1 solar day by 4 minutes, 1 shake = 10⁻⁸ s.

  • Memorise 1 year ≈ π × 10⁷ seconds as a quick approximation; the exact value 3.156 × 10⁷ s is close to π × 10⁷ ≈ 3.14 × 10⁷ s.
  • The sidereal–solar day difference (4 min) arises because Earth must rotate an extra ~1° per day to compensate for its orbital motion around the Sun; this is tested in assertion–reason format.
  • The shake (10⁻⁸ s) is a nuclear-physics timescale; it was originally defined to describe the duration of a nuclear chain-reaction step.
Example (NEET-style)How many seconds in a lunar month? 1 lunar month = 27.3 days × 24 × 3600 s/day = 27.3 × 86400 = 2.359 × 10⁶ s.

US Curriculum Gaps — Practical Units for NEET Physics

NRI students from US high schools may encounter these specific gaps when preparing for NEET Physics unit conversions.

Astronomical Length Scales (not covered in AP Physics 1 / AP Physics C)

US AP Physics courses define and use only SI units. The parsec, light year, astronomical unit, and their inter-conversions are not part of the College Board curriculum. NEET expects students to convert between parsec, light year, and metre without a calculator.

  • AP Physics 1 and AP Physics C do not require knowledge of 1 parsec = 3.26 light years or 1 AU = 1.49 × 10¹¹ m.
  • NEET expects conversion chains: e.g., express 5 parsec in metres by multiplying 5 × 3.26 × 9.46 × 10¹⁵ m.
  • Practice order-of-magnitude comparisons: 1 pc ≈ 3 × 10¹⁶ m, 1 ly ≈ 10¹⁶ m, 1 AU ≈ 1.5 × 10¹¹ m.

Sub-Atomic Length and Mass Scales (limited in US high school physics)

US physics courses mention angstrom and atomic mass unit only in passing during chemistry, not in the physics context NEET requires. NEET expects students to convert nuclear radii in fermi, atomic radii in angstrom, and particle masses in amu to SI units for numerical problems.

  • The fermi (10⁻¹⁵ m) and X-ray unit (10⁻¹³ m) are not part of any US high school or AP Physics syllabus.
  • NEET links amu to nuclear binding energy: 1 amu = 1.67 × 10⁻²⁷ kg = 931.5 MeV/c², a connection not taught in US physics courses.
  • Make a flashcard set mapping each practical unit to its SI value and the physical scale it represents.

NEET-Style Practice Questions — Practical Units

4 NEET-style practice questions
1The distance of the nearest star (Proxima Centauri) from the Earth is approximately 4.2 light years. This distance in parsecs is approximately:NEET-style practice
1.29 pc
3.26 pc
13.7 pc
0.77 pc
Using 1 parsec = 3.26 light years: distance = 4.2 ly / 3.26 ly per pc = 1.288 pc ≈ 1.29 pc. Option (b) 3.26 pc is the plain conversion factor itself, not the answer — a student who confuses ‘multiply’ vs ‘divide’ picks this. Option (c) multiplies 4.2 × 3.26 = 13.7, reversing the operation. Option (d) uses 1 pc = 5.5 ly, an incorrect conversion factor. The key step is recognising that parsec is a larger unit than light year, so the numerical value must decrease when converting from ly to pc.
2The radius of a nucleus of mass number A is given by R = R₀ A^(1/3), where R₀ = 1.2 fm. For a nucleus with A = 27, the radius in metres is:NEET-style practice
3.6 × 10⁻¹⁵ m
3.6 × 10⁻¹⁰ m
1.2 × 10⁻¹⁵ m
32.4 × 10⁻¹⁵ m
R = R₀ × A^(1/3) = 1.2 fm × 27^(1/3) = 1.2 × 3 = 3.6 fm = 3.6 × 10⁻¹⁵ m. Option (b) uses 10⁻¹⁰ instead of 10⁻¹⁵, confusing fermi with angstrom. Option (c) forgets to multiply by A^(1/3), just using R₀. Option (d) multiplies R₀ × A = 1.2 × 27 = 32.4 fm, using A instead of A^(1/3). The critical conversion is 1 fm = 10⁻¹⁵ m.
3The mass of a proton is approximately 1 amu. If the kinetic energy of a proton is 1 MeV, its speed (using non-relativistic approximation) is closest to:NEET-style practice
1.38 × 10⁷ m/s
1.38 × 10⁴ m/s
3 × 10⁸ m/s
4.6 × 10⁷ m/s
KE = ½mv², so v = √(2KE/m). Convert: KE = 1 MeV = 1.6 × 10⁻¹³ J, m = 1 amu = 1.67 × 10⁻²⁷ kg. v = √(2 × 1.6 × 10⁻¹³ / 1.67 × 10⁻²⁷) = √(1.916 × 10¹⁴) = 1.384 × 10⁷ m/s. Option (b) makes a power-of-ten error in the unit conversion (using 10⁻¹⁶ for MeV instead of 10⁻¹³). Option (c) is the speed of light, not valid for a non-relativistic calculation. Option (d) incorrectly uses m = 1 kg instead of 1 amu.
4The difference between a solar day and a sidereal day is approximately 4 minutes. In one solar year (365.25 solar days), how many sidereal days are there?NEET-style practice
366.25
365.25
364.25
365.00
1 solar year = 365.25 solar days = 366.25 sidereal days. The sidereal day is shorter than the solar day by about 4 minutes (3 min 56 s exactly), so more sidereal days fit in one year. Specifically, 1 solar year = 365.25 average solar days = 366.25 sidereal days. This follows because in one complete orbit around the Sun, Earth makes one extra rotation relative to the distant stars. Option (b) confuses solar days with sidereal days. Option (c) subtracts 1 instead of adding 1. Option (d) drops the 0.25 correction.

Practice Problems — Practical Units

Click "Reveal Answer" after attempting
1Express the diameter of a hydrogen atom (1.06 Å) in (a) metres, (b) fermi, and (c) microns.
1.06 × 10⁻¹⁰ m, 1.06 × 10⁵ fm, 1.06 × 10⁻⁴ μm
1.06 × 10⁻¹⁰ m, 1.06 × 10⁴ fm, 1.06 × 10⁻⁴ μm
1.06 × 10⁻¹³ m, 1.06 × 10² fm, 1.06 × 10⁻⁷ μm
1.06 × 10⁻⁸ m, 1.06 × 10⁷ fm, 1.06 × 10⁻² μm
👁 Reveal Answer
Option (a): 1.06 Å = 1.06 × 10⁻¹⁰ m. In fermi: 1.06 × 10⁻¹⁰ m / 10⁻¹⁵ m per fm = 1.06 × 10⁵ fm. In microns: 1.06 × 10⁻¹⁰ m / 10⁻⁶ m per μm = 1.06 × 10⁻⁴ μm. Each step uses the definition of the target unit.
2A star is at a distance of 8 parsecs from Earth. Express this distance in (a) light years and (b) kilometres.
26.08 ly, 2.464 × 10¹⁴ km
2.45 ly, 2.32 × 10¹³ km
26.08 ly, 2.464 × 10¹⁷ km
52.16 ly, 4.93 × 10¹⁴ km
👁 Reveal Answer
Option (a): 8 pc = 8 × 3.26 ly = 26.08 ly. In km: 26.08 × 9.46 × 10¹⁵ m = 2.467 × 10¹⁷ m = 2.467 × 10¹⁴ km. Wait — let me recalculate: 26.08 ly × 9.46 × 10¹⁵ m/ly = 2.467 × 10¹⁷ m = 2.467 × 10¹⁴ km. So option (a) 2.464 × 10¹⁴ km is correct (minor rounding). Option (b) divides instead of multiplying by 3.26. Option (c) gives metres, not km. Option (d) uses 1 pc = 6.52 ly (doubled).
3The age of the universe is approximately 13.8 billion years. Express this in (a) seconds and (b) shakes.
4.36 × 10¹⁷ s, 4.36 × 10²⁵ shakes
4.36 × 10¹⁷ s, 4.36 × 10¹ shakes
1.38 × 10¹⁰ s, 1.38 × 10¹⁸ shakes
4.36 × 10²⁵ s, 4.36 × 10³³ shakes
👁 Reveal Answer
Option (a): 13.8 × 10⁹ years × 3.156 × 10⁷ s/year = 4.355 × 10¹⁷ s. In shakes: 4.355 × 10¹⁷ s / 10⁻⁸ s/shake = 4.355 × 10²⁵ shakes. Option (b) divides by shake incorrectly. Option (c) forgets the 10⁹ multiplier on 13.8 billion. Option (d) confuses seconds with shakes in the first value.
4An electron has mass 9.1 × 10⁻³¹ kg. Express this mass in atomic mass units (amu).
5.45 × 10⁻⁴ amu
5.45 × 10⁻³ amu
1.52 × 10⁻³ amu
9.1 × 10⁻³¹ amu
👁 Reveal Answer
Option (a): m_e = 9.1 × 10⁻³¹ kg / (1.67 × 10⁻²⁷ kg/amu) = (9.1/1.67) × 10⁻³¹⁺²⁷ = 5.449 × 10⁻⁴ amu. This confirms the electron mass is roughly 1/1836 of a proton mass. Option (b) has the wrong exponent (10⁻³ instead of 10⁻⁴). Option (c) uses an incorrect division. Option (d) states the mass in kg, not amu.

Physics — Practical Units Revision Checklist

Check off chapters as you revise

Use this section for quick chapter tracking before mocks, part tests, and final NEET revision.

Tip: Mark a chapter complete only after revising formulas, solving PYQs, and reviewing your error log for that chapter.

Frequently Asked Questions — Practical Units

Notes · Downloads · Revision · Important Questions
What is the difference between a fermi and an angstrom?
A fermi (femtometre) equals 10⁻¹⁵ m and measures nuclear dimensions — a typical nucleus is 1–10 fm. An angstrom equals 10⁻¹⁰ m and measures atomic dimensions — atomic radii are typically 0.5–3 Å. The angstrom is 10⁵ times larger than a fermi. In NEET, fermi appears in nuclear-radius problems (R = R₀ A^{1/3}) and angstrom in atomic-structure and crystallography questions.
Why is the parsec larger than a light year?
One parsec is defined as the distance at which 1 AU subtends an angle of 1 arc-second. Working out the geometry: 1 pc = 1 AU / tan(1″) ≈ 3.086 × 10¹⁶ m = 3.26 light years. Because the arc-second is a very small angle, the resulting distance is about 3.26 times a light year. When converting, divide light years by 3.26 to get parsecs.
How is the atomic mass unit defined and why is it useful?
One atomic mass unit (amu) is defined as 1/12 of the mass of a carbon-12 atom, giving 1 amu = 1.67 × 10⁻²⁷ kg. It is useful because proton and neutron masses are each approximately 1 amu, making nuclear-mass calculations simpler. In NEET nuclear physics, mass defect Δm is computed in amu and then converted to energy via E = Δm × 931.5 MeV.
What is the Chandrasekhar limit and does NEET test it?
The Chandrasekhar limit is 1.4 times the mass of the Sun (2.8 × 10³⁰ kg). It is the maximum mass a white dwarf can have before it collapses into a neutron star or black hole. NEET occasionally includes it as a factual recall item in modern physics or astrophysics-related questions. Knowing the value 1.4 M_sun is sufficient.
Why is 1 sidereal day shorter than 1 solar day?
A sidereal day is the time Earth takes to rotate 360° relative to distant stars (~23 h 56 min). A solar day is the rotation needed for the Sun to return to the same position in the sky (~24 h). The extra ~4 minutes in a solar day compensates for Earth’s orbital motion: after one full spin, Earth has moved ~1° along its orbit, so it must rotate that extra degree to face the Sun again.
How do I quickly remember that 1 year ≈ 3.156 × 10⁷ seconds?
Use the π × 10⁷ approximation: π ≈ 3.14, and 1 year = 3.156 × 10⁷ s, which is within 0.5% of π × 10⁷. For quick NEET estimation, treat 1 year ≈ 3.15 × 10⁷ s. To derive exactly: 365.25 days × 24 h × 3600 s = 365.25 × 86400 = 31,557,600 s ≈ 3.156 × 10⁷ s.
What is a shake and where is it used in physics?
A shake equals 10⁻⁸ seconds (10 nanoseconds). It originated in nuclear physics to describe the timescale of individual steps in a nuclear chain reaction. While it is rarely tested in NEET as a standalone question, it appears in unit-conversion MCQs that list obscure time units and ask which is the smallest or largest.
Can NEET ask about the X-ray unit (XU)?
The X-ray unit (1 XU = 10⁻¹³ m) is listed in standard textbooks as a practical unit for measuring X-ray wavelengths. NEET can test it in a comparison-type MCQ (‘arrange these units in increasing order of magnitude’). The key fact is that XU sits between fermi (10⁻¹⁵ m) and angstrom (10⁻¹⁰ m) on the length scale.
How do I convert between astronomical unit, light year, and parsec without a calculator?
Memorise two anchor values: 1 ly = 9.46 × 10¹⁵ m and 1 pc = 3.26 ly. For AU: 1 AU = 1.49 × 10¹¹ m. Chain: parsec → multiply by 3.26 to get light years → multiply by 9.46 × 10¹⁵ to get metres. Reverse: divide. For NEET, rounding 3.26 to 3.3 and 9.46 to 9.5 gives answers within 2%, which is acceptable for MCQ elimination.
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