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Standards of Length, Mass and Time

NEET > Physics > Physical World and Measurement > Units, Dimensions and Measurement > Standards of Length, Mass and Time

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NEET Physics โ€” Units, Dimensions and Measurement

Standards of Length, Mass and Time โ€“ Complete Notes, Revision, Important Questions & Downloads

Standards of Length, Mass and Time covers the three SI base-unit reference definitions that underpin all physical measurement: the Length Standard (metre โ€” originally 1,650,763.73 wavelengths of krypton-86 orange-red radiation, now the path travelled by light in vacuum in 1/299,792,458 s), the Mass Standard (kilogram โ€” originally a platinum-iridium cylinder at BIPM, redefined in 2019 via the Planck constant h = 6.626 070 15 x 10^-34 J s), and the Time Standard (second โ€” 9,192,631,770 vibrations of the Cs-133 hyperfine transition). NEET tests this topic as direct factual recall: which atom defines the second, what constant fixes the metre, and how the kilogram prototype was superseded.

โฌ‡ Download Notes PDFView Important Questions โ†’
8 SubtopicsDefinition-BasedFactual Recall
Expected QuestionsQ
0-1
NEET asks 0-1 direct questions per year on standard definitions; the topic also supports conceptual understanding of SI units tested in other topics.
Time Requiredโฑ
1-2 hours
Memorise the three standard definitions with their exact numerical constants and the 2019 SI redefinition for the kilogram.
Difficultyโšก
Easy
Purely factual with no derivations or numericals. The challenge is accurate recall of specific numbers: 9,192,631,770 for the second, 1,650,763.73 for the old metre, and c = 299,792,458 m/s for the modern metre.
NRI USA Curriculum GapUS
Low
US AP Physics and introductory college courses cover SI base units and their definitions. However, the specific numerical constants (Cs-133 vibration count, krypton-86 wavelength count) are not memorised in the US curriculum, where calculators and reference sheets are permitted.
8Subtopics
7+Practice Questions
4Free Downloads
1-2 hrsPrep Time
โฌ‡ Get Free Downloads

NEET Weightage โ€” Standards of Length, Mass and Time

Units, Dimensions and Measurement (Chapter 1)
NEET YearQuestions from this TopicBarMarks
20240
ย 
0 Q
0
20231
ย 
1 Q
4
20220
ย 
0 Q
0
20210
ย 
0 Q
0
20201
ย 
1 Q
4
20190
ย 
0 Q
0
6-Year Total (2019-2024)2ย 8
The Cs-133 hyperfine transition frequency 9,192,631,770 Hz is the single most-tested number from this topic โ€” NEET frames it as a direct recall MCQ or embeds it in a unit-conversion problem.
Since the 2019 SI revision, the kilogram is no longer defined by a physical prototype but by fixing the Planck constant; NEET may ask which constant now defines the kilogram (answer: Planck constant h).

The krypton-86 wavelength definition of the metre (1,650,763.73 wavelengths) is historically important but has been superseded by the speed-of-light definition since 1983 โ€” NEET may ask which is the current definition.
๐Ÿ“Š
~0.3
Avg Questions / Year
๐ŸŽฏ
~8
Total Marks (6 yrs)
๐Ÿ“ˆ
Irregular
Pattern
โšก
Easy
Difficulty

Exam Strategy for Standards of Length, Mass and Time

1

Memorise the three defining numbers as a triplet Commit to memory: metre = 1/299,792,458 s of light travel, second = 9,192,631,770 Cs-133 vibrations, kilogram = Planck constant h = 6.626 070 15 x 10^-34 J s. Create a mnemonic linking each unit to its defining constant (c for metre, delta-nu-Cs for second, h for kilogram). The trap: confusing which constant defines which unit; the speed of light defines the metre, not the second.

2

Know the old vs modern definitions NEET can ask about either the historical or current definition. Old metre: 1,650,763.73 wavelengths of Kr-86 orange-red radiation. Old kg: Pt-Ir cylinder at BIPM. Old second: 1/86,400 of a mean solar day. Modern definitions use fundamental constants exclusively. The trap: stating the krypton-86 definition as the current one; it was replaced in 1983.

3

Link practical units to their standard-unit equivalents Memorise key conversions: 1 angstrom = 10^-10 m, 1 fermi = 10^-15 m, 1 AU = 1.49 x 10^11 m, 1 light year = 9.46 x 10^15 m, 1 parsec = 3.26 ly, 1 amu = 1.67 x 10^-27 kg, 1 year = 3.156 x 10^7 s. The trap: confusing the AU (Earth-Sun distance) with the light year (distance light travels in one year).

Download Study Notes โ€” Standards of Length, Mass and Time

PDF ยท Cheat Sheet ยท MCQ Set ยท PYQ
๐Ÿ“˜
Standards of Length, Mass and Time โ€” Full Notes
Complete notes covering all three SI base-unit definitions (metre, kilogram, second), their historical evolution from physical prototypes to fundamental constants, the 2019 SI revision, and practical unit conversions with worked examples.
8 subtopicsHistorical + modern definitionsPractical unit tables
Download PDF
๐Ÿ“—
Standards of Length, Mass and Time โ€” Formula Sheet
One-page reference: key numerical constants (c = 299,792,458 m/s, delta-nu-Cs = 9,192,631,770 Hz, h = 6.626 070 15 x 10^-34 J s), practical unit conversion factors, and one worked example per subtopic.
1 pageAll defining constants
Download PDF
๐Ÿ“™
Standards of Length, Mass and Time โ€” MCQ Practice
10 NEET-style MCQs testing recall of standard definitions, identification of defining constants, and practical unit conversions between fermi, angstrom, AU, light year, parsec, and SI base units.
10 MCQsDetailed solutions
Download PDF
๐Ÿ“•
Standards of Length, Mass and Time โ€” NEET-Style PYQ Practice
Collection of NEET-style questions on standard definitions: matching units to their defining atoms or constants, converting between practical units, and identifying which physical quantity each SI base unit measures.
NEET-styleAnswer key included
Download PDF

Subtopics in Standards of Length, Mass and Time

2-Column Table
Column AColumn B
Length Standardโ†—
Mass Standardโ†—
Time Standardโ†—
System of unitsโ†—
CGS systemโ†—
MKS systemโ†—
FPS systemโ†—
S.I. systemโ†—

Rapid Revision โ€” Standards of Length, Mass and Time

Concept โ†’ Trap โ†’ Example

1) Length Standard

Metre Definition

The metre is the length of the path travelled by light in vacuum during a time interval of 1/299,792,458 of a second. Previously defined as 1,650,763.73 wavelengths of Kr-86 orange-red radiation (adopted 1960, replaced 1983).

  • The modern metre depends on two constants: the speed of light c (exact: 299,792,458 m/s) and the Cs-133 frequency that defines the second โ€” so the metre is actually a derived length from a time standard and a velocity constant.
  • The krypton-86 wavelength definition was abandoned because laser-based measurements of c offered 100x better precision than interferometric wavelength counting.
  • Common NEET trap: selecting the krypton-86 definition as the current standard โ€” it was replaced in 1983 by the speed-of-light definition. Both definitions may appear as options in the same MCQ.
Example (NEET-style)If light in vacuum covers 299,792,458 m in exactly 1 second, then in 1/299,792,458 s it covers exactly 1 m. To measure 0.5 m, you need a time interval of 0.5/299,792,458 s, approximately 1.668 x 10^-9 s.

2) Mass Standard

Kilogram Definition

Until 2019 the kilogram was defined as the mass of a platinum-iridium cylinder kept at BIPM, Sevres. Since 20 May 2019 it is defined by fixing h = 6.626 070 15 x 10^-34 J s. On the atomic scale 1 kg = 5.0188 x 10^25 atoms of C-12.

  • The Pt-Ir prototype was the last physical artefact defining an SI unit; its mass drifted by approximately 50 micrograms over a century relative to national copies, motivating the 2019 switch to the Planck constant.
  • On the atomic scale, 1 unified atomic mass unit (1 amu) = 1.67 x 10^-27 kg, and 1 kg = 5.0188 x 10^25 atoms of C-12 isotope (this equivalence is derived from the Avogadro constant).
  • Common NEET trap: confusing the Planck constant (defines the kilogram post-2019) with the Avogadro constant (defines the mole) โ€” both were fixed in the 2019 SI revision but define different units.
Example (NEET-style)The prototype cylinder at BIPM has a diameter and height both equal to about 39 mm. Converting on the atomic scale: 1 kg = 5.0188 x 10^25 atoms of C-12, so each C-12 atom has mass = 1/(5.0188 x 10^25) kg = approximately 1.99 x 10^-26 kg.

3) Time Standard

Second Definition

1 second = 9,192,631,770 periods of radiation corresponding to the transition between two hyperfine levels of the ground state of Cs-133. This replaced the astronomical definition (1/86,400 of a mean solar day) in 1967.

  • The caesium-133 transition frequency delta-nu-Cs = 9,192,631,770 Hz is an exact fixed value โ€” it is one of the seven SI defining constants, not an approximation.
  • Before 1967, the second was defined as 1/86,400 of a mean solar day, which was imprecise because Earth's rotation rate varies due to tidal friction and mantle convection.
  • Common NEET trap: stating the Cs-133 frequency as 9,192,631,700 (dropping the final 70) or confusing it with 9.192 GHz without the exact digit count.
Example (NEET-style)If a Cs-133 atomic clock counts 4,596,315,885 complete oscillations, the elapsed time is 4,596,315,885 / 9,192,631,770 = 0.5 seconds exactly. Each oscillation period is approximately 1.09 x 10^-10 s.

US Curriculum Gaps โ€” Standards of Length, Mass and Time

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

Exact numerical constants for SI definitions (not required in AP Physics 1 or AP Physics C)

US AP Physics courses introduce SI base units but do not require memorisation of the specific defining numbers. NEET expects students to recall that the second equals exactly 9,192,631,770 Cs-133 oscillations and the metre is defined via c = 299,792,458 m/s; these exact values appear as MCQ options.

  • AP Physics 1 states that the second is based on an atomic clock but does not require the exact oscillation count.
  • NEET may present four similar large numbers as options and only the exact value 9,192,631,770 is correct.
  • Create a flashcard set with the three defining numbers and drill until recall is instant.

2019 SI redefinition and its rationale (not covered in standard US high school physics)

The shift from artefact-based to constant-based definitions (kilogram from Pt-Ir cylinder to Planck constant) is part of the NEET knowledge base but is absent from most US high school curricula, which still reference the prototype kilogram without discussing why it was replaced.

  • US physics textbooks published before 2020 describe the kilogram as the Pt-Ir prototype; this is now outdated.
  • NEET may ask which fundamental constant defines the kilogram in the revised SI (answer: Planck constant).
  • Review the 2019 SI revision: four units were redefined (kg via h, A via e, K via k_B, mol via N_A).

NEET-Style Practice Questions โ€” Standards of Length, Mass and Time

3 NEET-style practice questions
1A scientist uses monochromatic radiation from krypton-86 to calibrate an optical bench. If she counts exactly 825,381.865 wavelengths of the Kr-86 orange-red line in vacuum, the total length she has measured is:NEET-style practice
0.25 m
0.50 m
1.00 m
1.50 m
The old standard metre was defined as exactly 1,650,763.73 wavelengths of the Kr-86 orange-red radiation in vacuum. Therefore, 825,381.865 wavelengths = 825,381.865 / 1,650,763.73 = 0.50 m exactly. Option (a) would require only 412,690.93 wavelengths. Option (c) would require the full 1,650,763.73 wavelengths. Option (d) would need 2,476,145.595 wavelengths. The key insight is recognising that 825,381.865 is exactly half of 1,650,763.73, so the measured length is exactly half a metre. This tests whether you remember the precise wavelength count in the old metre definition.
2A cesium-133 atomic clock registers exactly 27,577,895,310 complete oscillations of the hyperfine transition radiation. The elapsed time recorded by the clock is:NEET-style practice
2.0 s
3.0 s
4.0 s
2.5 s
The SI second is defined as exactly 9,192,631,770 periods of the Cs-133 hyperfine transition radiation. Elapsed time = total oscillations / defining frequency = 27,577,895,310 / 9,192,631,770 = 3.0 s exactly (since 27,577,895,310 = 3 x 9,192,631,770). Option (a) gives 2 x 9,192,631,770 = 18,385,263,540 oscillations, not matching the given count. Option (c) gives 4 x 9,192,631,770 = 36,770,527,080 oscillations. Option (d) gives 2.5 x 9,192,631,770 = 22,981,579,425. The solution requires dividing the given oscillation count by the defining constant.
3After the 2019 SI revision, the kilogram is defined by fixing the numerical value of:NEET-style practice
The Avogadro constant N_A
The Boltzmann constant k_B
The Planck constant h
The speed of light c
In the 2019 SI revision, the kilogram was redefined by fixing the Planck constant h = 6.626 070 15 x 10^-34 J s (equivalently kg m^2 s^-1). This replaced the 130-year-old platinum-iridium prototype at BIPM. Option (a) is incorrect because the Avogadro constant defines the mole, not the kilogram. Option (b) is incorrect because the Boltzmann constant defines the kelvin. Option (d) is incorrect because the speed of light defines the metre (since 1983). The 2019 revision fixed four constants simultaneously: h for kg, e for ampere, k_B for kelvin, and N_A for mole. This tests knowledge of which constant was paired with which unit.

Practice Problems โ€” Standards of Length, Mass and Time

Click "Reveal Answer" after attempting
1The wavelength of Cs-133 hyperfine transition radiation can be calculated from its frequency. Given that the defining frequency is 9,192,631,770 Hz and the speed of light is 299,792,458 m/s, the wavelength of this radiation is approximately:
3.26 cm
9.19 cm
0.326 cm
32.6 cm
๐Ÿ‘ Reveal Answer
Option (a): 3.26 cm. Wavelength = c / nu = 299,792,458 / 9,192,631,770 = 0.03261 m = 3.261 cm, approximately 3.26 cm. This radiation lies in the microwave region of the electromagnetic spectrum, which is why caesium atomic clocks use microwave cavities for detection.
2Express 1 parsec in metres, given that 1 parsec = 3.26 light years and 1 light year = 9.46 x 10^15 m.
3.08 x 10^16 m
3.08 x 10^15 m
9.46 x 10^16 m
3.26 x 10^15 m
๐Ÿ‘ Reveal Answer
Option (a): 3.08 x 10^16 m. Calculation: 1 pc = 3.26 ly x 9.46 x 10^15 m/ly = 30.84 x 10^15 m = 3.084 x 10^16 m. Option (b) is off by a factor of 10. Option (c) is simply 1 light year, not 1 parsec. Option (d) confuses parsec count with metres.
3How many atoms of C-12 are equivalent to 2 kg of mass, given that 1 kg corresponds to 5.0188 x 10^25 atoms of C-12?
1.004 x 10^26
2.509 x 10^25
5.019 x 10^25
10.038 x 10^24
๐Ÿ‘ Reveal Answer
Option (a): 1.004 x 10^26. For 2 kg: N = 2 x 5.0188 x 10^25 = 10.0376 x 10^25 = 1.00376 x 10^26 atoms. Option (b) is half the 1 kg value. Option (c) is the 1 kg value. Option (d) has incorrect exponent manipulation.
4A sidereal day is shorter than a solar day by approximately 4 minutes. If 1 solar year = 365.25 solar days and 1 solar year = 366.25 sidereal days, the duration of one sidereal day in SI seconds is approximately:
86,164 s
86,400 s
85,900 s
87,000 s
๐Ÿ‘ Reveal Answer
Option (a): 86,164 s. One solar year = 365.25 x 86,400 s = 31,557,600 s. One sidereal day = 31,557,600 / 366.25 = 86,164.09 s, approximately 86,164 s. This is about 236 s (roughly 4 minutes) less than the 86,400 s solar day. Option (b) is the solar day. Options (c) and (d) have no physical basis.

Physics โ€” Standards of Length, Mass and Time 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 โ€” Standards of Length, Mass and Time

Notes ยท Downloads ยท Revision ยท Important Questions
Why was the kilogram redefined in 2019 when the Pt-Ir prototype seemed adequate?
Over 130 years, the International Prototype of the Kilogram (IPK) drifted by approximately 50 micrograms relative to its national copies. Since there was no way to determine whether the IPK was losing mass or the copies were gaining, the definition was unreliable at the microgram level. The 2019 revision fixed the Planck constant h = 6.626 070 15 x 10^-34 J s, making the kilogram reproducible anywhere using a Kibble balance, without dependence on a single artefact.
Why is caesium-133 used to define the second instead of another atom?
Caesium-133 is the only stable isotope of caesium, so there is no isotope-selection ambiguity. Its ground-state hyperfine transition at 9,192,631,770 Hz produces microwave radiation that can be generated, detected, and counted with extremely high precision using microwave cavity resonators. When the atomic standard was adopted in 1967, Cs-133 clocks had already achieved reproducibility better than 1 part in 10^9, far surpassing the astronomical definition based on Earth's variable rotation.
What happened to the krypton-86 definition of the metre?
The krypton-86 wavelength definition (1,650,763.73 wavelengths of the orange-red line in vacuum) served as the SI metre from 1960 to 1983. It was replaced because laser interferometry and direct measurement of the speed of light reached precision that exceeded what the Kr-86 source could provide. The 1983 redefinition fixed c = 299,792,458 m/s exactly, making the metre a derived unit from the speed of light and the second.
Can NEET ask about the 2019 SI revision or only the old NCERT definitions?
NEET can ask about either era. The NCERT Class 11 Physics textbook (2023 edition onward) mentions the Planck-constant definition of the kilogram. Older editions describe the Pt-Ir prototype. Be prepared for both: know the prototype definition, the Planck-constant definition, and the reason for the change. If an MCQ offers both as options, read the question stem carefully for words like 'current' or 'original.'
What are the most important practical units of length to memorise for NEET?
1 fermi = 10^-15 m (nuclear scale), 1 angstrom = 10^-10 m (atomic scale), 1 micron = 10^-6 m, 1 AU = 1.49 x 10^11 m (Earth-Sun distance), 1 light year = 9.46 x 10^15 m, 1 parsec = 3.26 light years = 3.08 x 10^16 m. NEET commonly frames conversion problems using these, especially fermi-to-metre and light-year-to-metre conversions in Modern Physics and Gravitation questions.
What is an atomic mass unit and how does it relate to the kilogram?
1 atomic mass unit (1 amu or 1 u) = 1.67 x 10^-27 kg. It equals 1/12 of the mass of a C-12 atom. On the atomic scale, the textbook states 1 kg = 5.0188 x 10^25 atoms of C-12. The amu is called the second mass standard because it provides a reference at the atomic scale, complementing the macroscopic kilogram standard.
How is a sidereal day different from a solar day, and why does NEET care?
A sidereal day is the time Earth takes to complete one full rotation relative to a distant star, approximately 23 h 56 min 4 s (86,164 s). A solar day (24 h = 86,400 s) is longer because Earth must rotate an extra ~1 degree to compensate for its orbital motion around the Sun. NEET tests this distinction in unit-conversion problems or as a factual MCQ, using the relationships: 1 solar year = 365.25 solar days = 366.25 sidereal days.
What is the Chandrasekhar mass unit and can it appear in NEET?
1 Chandrasekhar unit (CSU) = 1.4 times the mass of the Sun = 2.8 x 10^30 kg. It represents the maximum mass of a white dwarf star beyond which it collapses into a neutron star. While NEET rarely asks about astrophysical mass standards directly, conversion problems involving orders-of-magnitude can reference this unit. The textbook lists it under practical units of mass, so it is within the NEET syllabus scope.
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Length Standard

Mass Standard

Time Standard

System of units

CGS system

MKS system

FPS system

S.I. system

Subtopics

Length Standard

Mass Standard

Time Standard

System of units

CGS system

MKS system

FPS system

S.I. system

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