Question

What are supplementary quantities ?

Answer 1

Here we will first see how many types of physical quantities are there which are there, what is the main difference between them and how is supplementary quantity related to them.

Complete answer:
Physical quantities are divided into three types:
(1) fundamental quantity,
(2) derived quantity
(3) supplementary quantity
Fundamental quantities are those that are solely determined by the measurement method. They don't have a definition in terms of other quantities, and their units don't have a definition in terms of other units. We treat length, mass, and time as essential or fundamental quantities in mechanics.

Here are the seven fundamental quantities and its units:

Quantity	Unit
Mass	Kilogram
Length	Meter
Time	Second
Temperature	Kelvin
Amount of substance	Mole
Electric current	Ampere
Luminous intensity	Candela

A derived quantity is one that is derived from a formal equation that involves all of the seven fundamental quantities: kilogramme, metre, second, ampere, kelvin, mole, and candela. Area (square metres), speed (metres per second), and frequency are examples of derived quantities (hertz).Geometrical quantities of circle and sphere are supplementary quantities.

Supplementary units are those that aren't yet graded as either base or derived.Physical quantities are divided into seven basic and two supplementary categories.As the name implies, supplementary physical quantity is a physical quantity that is used for calculation (on a secondary level). Plane angle and solid angle are two supplementary units of two purely" geometrical physical quantities. and their units are radian (rad) and steradian (Sr) respectively.

Note: Fundamental quantities are the quantities which cannot be derived from any other quantity of nature they are the most basic quantities; the quantities made by using the fundamental quantities are known as the derived quantities; and the quantities which don’t come under any of these two quantities are known as supplementary quantities i.e they are not the basic quantities as well as they cannot be derived.