Question

Pls friiends help me i will give brainliest for sure.. what is meant by dimensional formulae no net answers and no spam answers plsss. i want a correct explanation which is understantable to me. with examples pls

Answer 1

The formulae or expressions that indicate how and which fundamental quantities are there in a physical quantity are called as the Dimensional Formula of the Physical Quantity. Dimensional formulae are helpful in finding units from one system to another. They have numerous real-life applications and form the basic aspect of units and measurements.

Let’s assume that there is a physical quantity X that depends on base dimensions M (Mass), L (Length) and T (Time) with respective powers a, b and c, then its dimensional formula can be written as:

[MaLbTc]

Note that a dimensional formula will always be closed in a square bracket [ ]. Also, when it comes to dimensional formulae of trigonometric, solid angle and plane angle, they cannot be defined as these are the types of quantities that are dimensionless in nature.

When velocity is defined with the help of fundamental units of mass, length and time, we get

when there is no mass, M0 = 1 (algebraic theory of indices).

This is basically the dimensional formula for velocity and we can conclude that:

Unit of velocity varies as per the unit of length and time but is independent of mass.When it comes to the unit of velocity, the power of L and T are 1 and -1 respectively.

E.g. Formula for density is ML-3

Formula for force is MLT-2

Examples

Dimensional formula of Velocity is [M0LT-1]Dimensional formula of Volume is [M0L3T0]Dimensional formula of Force is [MLT-2]Dimensional formula of Area is [M0L2T0]Dimensional formula of Density is [ML-3T0]

Answer 2

these are some examples