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Dimensional Formulae and Dimensional Equation
Dimensional formula - It is the term which tells about the power with which a fundamental quantity is contained in a physical quantity. E.g., Dimensional formula of velocity is [LT - 1 ], that of density is [ML - ..
Dimensional formula
It is the term which tells about the power with which a fundamental quantity is contained in a physical quantity. E.g., Dimensional formula of velocity is [LT - 1 ], that of density is [ML - ..
Dimensional Analysis
It is often necessary to convert one set of units to another. This can be done in a systematic way by the method called dimensional analysis or the conversion factor method. Conversion factor is equal to the ratio of the magnitudes of the same quantity in the two units. To obtain a conve..
Dimensional constants
E.g., gravitational constant (G), Planck's constant (h) and velocity of light (c) Their values are always consta..
Advantages of Dimensional Analysis
Advantages of Dimensional Analysis - Dimensional equations are used to validate the correctness of a physical equation. Dimensional equations are used to derive correct relationship between different physical quantities. Dimensional equations are used to conv..
Advantages of Dimensional Analysis
Dimensional equations are used to validate the correctness of a physical equatio..
Limitations of Dimensional Analysis
Dimensional analysis has no information on dimensionless constants. If a quantity is dependent on trigonometric or exponential functions, this method cannot be used. In some cases, it is difficult to guess the factors while deriving the relation connecting two or more physical qua..
Non-dimensional constants
The constants having no dimensions. E.g., p , e, 1, 2,3 .e..
Two-dimensional Conventions
Sawhorse drawings or formulae - In these drawings for ethane, the molecule is viewed slightly from above and from the right and the lower left hand carbon is always considered towards the front. Sawhorse drawings for staggered and eclipsed forms of ethane are shown belo..
Sawhorse drawings or formulae - In these drawings for ethane, the molecule is viewed slightly from above and from the right and the lower left hand carbon is always considered towards the front. Sawhorse drawings for staggered and eclipsed forms of ethane are shown belo..Dimensional equation is obtained when a physical quantity is equated with its dimensional formula.
In general, [X] = [M a L b T c ] RHS represents dimensional formula of physical quantity X, whose dimensions in mass, length and time are a, b and c respective..
Result
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