JEE Main Important Physics formulas
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On converting the 5 feet to the equivalent centimetre, we find that the length of 5 feet is exactly equal to 152.40 centimetre. How do we count it? To get the answer to this question, first, we have to realize what units are, and how the units of measurement are defined in various systems.
As such, you are familiar with measuring some volume or weight which is very common in our daily life also. Isn’t it? Suppose by adding some units of measurement (like a gram, litre, etc.) with any number, we denote some measured values of the physical quantities. The phrases 70 kg of cake or 80 litre of milk definitely imply some measurement of a physical quantity. Let us explore the concepts of unit and unit conversion in detail.
We can employ several available systems for measuring all physical quantities. There is a universal acceptance of well-defined systems for the measurement of any physical quantities. Examples are the SI system, the MKS system, the FPS System, etc.
According to these systems, the following are considered as the fundamental quantities. These are called fundamental quantities as these can be used to define other physical quantities.
Mass
Length
Time
Amount of substance
Thermodynamic temperature
Electric current
Luminous intensity
It is clear that we have only seven fundamental quantities defined. But the world that we live in is offering us innumerable quantities. To define all the other physical quantities, we can employ the fundamental quantities and with them, we can derive any physical quantity of our choice.
Thus, the physical quantities which we derive utilizing the defined fundamental quantities, are termed as the derived quantities.
Some examples of derived quantities are area, volume, speed, etc.
It naturally follows that each fundamental quantity requires a unit to express its magnitude. Hence the units that are defined for the fundamental quantities are called the fundamental units. Note that the Fundamental Units may be defined separately for the same fundamental quantity in the different systems of measurement.
Abiding by the SI system, the following are the fundamental units.
Kilogram is the fundamental unit of Mass.
Meter is the fundamental unit of Length.
Second is the fundamental unit of Time.
Mole is the fundamental unit of Amount of substance.
Kelvin is the fundamental unit of Thermodynamic temperature.
Ampere is the fundamental unit of Electric current.
Candela is the fundamental unit of Luminous intensity.
The CGS system defines the fundamental units, some of which are the following.
Gram is the fundamental unit of Mass.
Centimetre is the fundamental unit of Length.
Second is the fundamental unit of Time.
Centigrade is the fundamental unit of Thermodynamic temperature.
The FPS system states the fundamental units, some of which are the following.
Pound is the fundamental unit of Mass.
Foot is the fundamental unit of Length.
Second is the fundamental unit of Time.
Pound-Mole is the fundamental unit of the Amount of substance.
Fahrenheit is the fundamental unit of temperature.
EMU and ESU are the fundamental units for defining the electromagnetic and electrostatic systems.
Foot-candela is the fundamental unit of Luminous intensity.
We will find the equivalent centimetre of 5 feet by converting the 5 feet from the FPS system into the corresponding centimetre in the CGS system.
For this calculation, we need to know the conversion value of 1 foot into centimetre.
\begin{align} \because 1\ foot\ =\ 30.48\ cm \\ \therefore 5\ feet\ =\ 30.48\ \times 5 \\ =152.40\ cm \end{align}\]
The plural form of the fundamental unit of length foot is feet.
The length of 1 foot is equal to 0.348 metre.
The equivalent length of 1 foot in inches is equal to 12.
The approximate length of 1 foot is equal to 0.33 yards.
The length of 1 foot is estimated equal to about 1.63 hands.
The MKS system derives its name from the first letters of metre, kilogram, and second; which are the fundamental units of length, mass, and time respectively.
The FPS system is obtained from the starting letters of the foot, pound, and second; which are the fundamental units of length, mass and time respectively.
The CGS system is the acronym where the letter “c” stands for centimeter, the letter “g” stands for gram and the letter “s” stands for second.
Here, we can easily identify that centimetre, gram and second are the fundamental units of length, mass, and time respectively.
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