inverse-square law
LowFormal, Academic, Technical
Definition
Meaning
A physical principle stating that a specified physical quantity or intensity is inversely proportional to the square of the distance from the source of that physical quantity.
It often refers to phenomena like gravity, electric force, light, sound, and radiation, where intensity diminishes with distance according to this specific mathematical relationship (1/r²).
Linguistics
Semantic Notes
The term is a compound noun describing a specific type of mathematical/physical law. It is almost exclusively used in scientific contexts and is not subject to metaphorical extension in common language.
Dialectal Variation
British vs American Usage
Differences
No lexical differences; the term is identical in both varieties. Spelling differences may appear in surrounding text (e.g., 'behaviour' vs. 'behavior').
Connotations
Purely technical and neutral in both varieties.
Frequency
Equally rare outside scientific contexts in both varieties.
Vocabulary
Collocations
Grammar
Valency Patterns
[Subject] obeys/follows an inverse-square law.The inverse-square law applies to [phenomenon].Vocabulary
Synonyms
Strong
Neutral
Weak
Vocabulary
Antonyms
Phrases
Idioms & Phrases
- “The signal falls off with the inverse square of the distance.”
Usage
Context Usage
Business
Not used.
Academic
Core concept in physics and engineering lectures, textbooks, and research papers.
Everyday
Extremely rare; might appear in popular science articles.
Technical
Standard terminology in physics, astronomy, radiometry, acoustics, and electrical engineering.
Examples
By Part of Speech
verb
British English
- The gravitational force inverses with the square of the distance.
- The intensity inverses squarely as you move away.
American English
- The radiation intensity inverses with the square of the distance.
- The signal inverses squarely from the source.
adverb
British English
- The signal strength decreases inversely squarely.
- The field drops off inversely with the square of the distance.
American English
- The brightness falls off inversely squarely.
- The force declines inversely with the square of the distance.
adjective
British English
- We observed an inverse-square relationship in the data.
- The inverse-square behaviour of light is fundamental.
American English
- They confirmed an inverse-square relationship in the measurements.
- The inverse-square behavior of gravity is key.
Examples
By CEFR Level
- Light gets weaker when you move a lamp further away.
- In science, some forces get much weaker as distance increases.
- According to the inverse-square law, gravity weakens rapidly with distance.
Learning
Memory Aids
Mnemonic
Think of light from a bulb: double the distance, and the brightness is only a quarter as strong (1/2² = 1/4).
Conceptual Metaphor
SPREADING IS DILUTING (e.g., paint from a spray can spreads over a larger area, becoming thinner).
Watch out
Common Pitfalls
Translation Traps (for Russian speakers)
- Avoid literal translation of "law" as "закон" implying legal statute; here it means научный закон, физический закон.
- The hyphen is critical; 'inverse-square' is a single modifier.
Common Mistakes
- Writing 'inverse square law' without the hyphen (though common, the hyphenated form is more precise).
- Confusing it with a simple inverse relationship (1/r).
Practice
Quiz
What does the inverse-square law describe?
FAQ
Frequently Asked Questions
It is a hyphenated compound noun: 'inverse-square law'. The hyphen links 'inverse' and 'square' to show they function as a single modifier for 'law'.
Yes, in a free field without reflections, the intensity of sound follows an inverse-square law relative to the source.
It is attributed to Isaac Newton for gravity (1687) and Charles-Augustin de Coulomb for electrostatics (1785), though the concept for light was discussed earlier.
If you double your distance from a speaker, the loudness you hear drops to about one quarter of its original intensity.