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Derive the Dimensional Formula of Specific Gravity

Specific Gravity formula is

Specific Gravity = Density of Body/Density of Body at 4oC

Now
Density = Mass/Volume
Density = M/L3

So Dimensional Formula of Specific Gravity= M0L0T0
Note: Specific Gravity is defined as change in Density of Body over Density of Body at 4oC. Now we know that both Density of Body and Density of Body at 4oC has same dimensions i.e. Mass/Volume so same units cancel each other leaving numeric value only. So Specific Gravity has no unit.

posted in Dimensional Formulae | 2 Comments

Derive the Dimensional Formula of Density

Density is defined as the mass per unit volume. So its formula is

Density = Mass/Volume

Dimensional Formula of Mass = M1L0T0
Dimensional Formula of Volume = M0L3T0

Putting these values in above equation we get,
Dimensional Formula of Density =M1L-3T0
SI unit of Density is kg/ m3

posted in Dimensional Formulae | 10 Comments

What is the Dimensional Formula of Volume?

We know
Volume = Length x Breadth x Height
Volume = L x L x L
Volume = L3

So Dimensional Formula of Volume = [M0 L3 T0]
SI unit of Volume is m3

posted in Dimensional Formulae | 4 Comments

What is the Dimensional Formula of Area?

To calculate Dimensional Formula of Area, we need to know its formula

Area = Length x Breadth
Area = L x L
Area = L2

So Dimensional Formula = [M0 L2 T0]
SI unit of Area is m2

posted in Dimensional Formulae | 2 Comments

What is Dimensional Formula?

Dimensional Formula is a standardized method to express the Physical quantities in terms of basic quantities as chosen in the SI system of measurement. These are denoted with symbols in square brackets []

The seven standards as per SI are
1) Mass
2) Length
3) Time
4) Electric Current [A]
5) Thermodynamical Temperature [K]
6) Luminous Intensity [Cd]
7) Amount of Substance [mol]

posted in Dimensional Formulae | 2 Comments

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