Que. 3
What do you mean by dimension, dimension formula dimension equation.
Answers
Answer:
A dimensional formula is one that shows a relation how and which of the fundamental quantities represent the dimensions of a physical quantity. The dimensional formula gives us an idea that which of the quantities are used to derive a given quantity.
Answer:
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Explanation:
The equations obtained when we equal a physical quantity with its dimensional formulae are called Dimensional Equations. The dimensional equation helps in expressing physical quantities in terms of the base or fundamental quantities.
Suppose there’s a physical quantity Y which depends on base quantities M (mass), L (Length) and T (Time) and their raised powers are a, b and c, then dimensional formulae of physical quantity [Y] can be expressed as
[Y] = [MaLbTc]
Examples
Dimensional equation of velocity ‘v’ is given as [v] = [M0LT-1]
Dimensional equation of acceleration ‘a’ is given as [a] = [M0LT-2]
Dimensional equation of force ‘F’ is given as [F] = [MLT-2]
Dimensional equation of energy ‘E’ is give as [E] = [ML2T-2]
The expressions or formulae which tell us how and which of the fundamental quantities are present in a physical quantity are known as the Dimensional Formula of the Physical Quantity. Dimensional formulae also help in deriving units from one system to another. It has many real-life applications and is a basic aspect of units and measurements.
Suppose there is a physical quantity X which depends on base dimensions M (Mass), L (Length) and T (Time) with respective powers a, b and c, then its dimensional formula is represented as:
[MaLbTc]
Dimensional Formula. A dimensional formula is one that shows a relation how and which of the fundamental quantities represent the dimensions of a physical quantity. The dimensional formula gives us an idea that which of the quantities are used to derive a given quantity.
A dimensional formula is always closed in a square bracket [ ]. Also, dimensional formulae of trigonometric, plane angle and solid angle are not defined as these quantities are dimensionless in nature.