Always in a physical quantity, the numerical value is inversely proportional to its units.
Answer
298.2k+ views
Hint: The numerical value along with its unit makes the measurement of a quantity. The relation between two different units for the same quantity tells us the relation between the unit and its numerical value. Using units of the measurement like kg, litre, etc, the relation between the numerical value and its unit can be found out easily.
Complete answer:
It is better to know the definitions of the terms that we are going to use in further explanation. The definitions of measurement and the unit are as follows.
The measurement is the assignment of the number to the characteristics of the materials, objects, events, etc. The physical quantities are measured with respect to a fixed quantity called the unit.
Consider, for example, x represents the magnitude and y represents the unit. Thus, the overall expression is represented as follows.
$xy = $constant
Let,
${n_1}$ is the magnitude of any physical quantity in unit system ${u_1}$
${n_2}$ is the magnitude of the same physical quantity in the unit system ${u_2}$.
So, from the units’ conversion formula of physical quantity,
${n_1}{u_1} = {n_2}{u_2}$
$ \Rightarrow \dfrac{{{n_1}}}{{{n_2}}} = \dfrac{{{u_2}}}{{{u_1}}}$
So, we can say that $n \propto \dfrac{1}{u}$. Thus, the magnitude of the physical quantity is inversely proportional to the unit of physical quantity.
Note: We can say that, for a larger numerical value, the unit associated will be smaller and vice - versa. Some of the physical quantities do not have units, as they are the ratios of the physical quantities having the same units. For example, the strain is a unitless quantity, as it is a ratio of original to the extended length, and as the length of both is same, thus, the unit gets cancelled.
Complete answer:
It is better to know the definitions of the terms that we are going to use in further explanation. The definitions of measurement and the unit are as follows.
The measurement is the assignment of the number to the characteristics of the materials, objects, events, etc. The physical quantities are measured with respect to a fixed quantity called the unit.
Consider, for example, x represents the magnitude and y represents the unit. Thus, the overall expression is represented as follows.
$xy = $constant
Let,
${n_1}$ is the magnitude of any physical quantity in unit system ${u_1}$
${n_2}$ is the magnitude of the same physical quantity in the unit system ${u_2}$.
So, from the units’ conversion formula of physical quantity,
${n_1}{u_1} = {n_2}{u_2}$
$ \Rightarrow \dfrac{{{n_1}}}{{{n_2}}} = \dfrac{{{u_2}}}{{{u_1}}}$
So, we can say that $n \propto \dfrac{1}{u}$. Thus, the magnitude of the physical quantity is inversely proportional to the unit of physical quantity.
Note: We can say that, for a larger numerical value, the unit associated will be smaller and vice - versa. Some of the physical quantities do not have units, as they are the ratios of the physical quantities having the same units. For example, the strain is a unitless quantity, as it is a ratio of original to the extended length, and as the length of both is same, thus, the unit gets cancelled.
Recently Updated Pages
Four persons A B C and D initially at the corners of class 11 physics JEE_Main

What is the difference between Conduction and conv class 11 physics JEE_Main

Moment of inertia of solid sphere about its diameter class 11 physics JEE_Main

If a piece of ice floating on the surface of water class 11 physics JEE_Main

At what temperature speed of sound in air will be doubled class 11 physics JEE_Main

A closed organ pipe and an open organ pipe are tuned class 11 physics JEE_Main

Trending doubts
JEE Main 2026: Exam Dates, Session 2 Updates, City Slip, Admit Card & Latest News

Understanding the Electric Field of a Uniformly Charged Ring

Understanding Atomic Structure for Beginners

Electron Gain Enthalpy and Electron Affinity Explained

Derivation of Equation of Trajectory Explained for Students

How to Convert a Galvanometer into an Ammeter or Voltmeter

Other Pages
CBSE Notes Class 11 Physics Chapter 1 - Units And Measurements - 2026-27 PDF Download (Login Required)

NCERT Solutions For Class 11 Physics Chapter 1 Units And Measurements - 2026-27 Free PDF Download (Login Required)

NCERT Solutions For Class 11 Physics Chapter 2 Motion In A Straight Line - 2026-27 Free PDF Download (Login Required)

Important Questions For Class 11 Physics Chapter 1 Units and Measurement - 2026-27 Free PDF Download (Sign-in Required)

JEE Advanced Percentile vs Marks 2026: JEE Main Cutoff, AIR & IIT Admission Guide

CBSE Notes Class 11 Physics Chapter 2 - Motion in a Straight Line - 2026-27 PDF Download (Login Required)

