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Four Categories of Physical Quantities
Based on dimensions, physical quantity can be classified under four categori..
Fundamental and physical quantities
There are 7 physical quantities viz., Length, mass, time, temperature, electric current, luminous intensity and amount of substance. Length, mass and time are called fundamental physical quantities..
Dimensional formulae of important physical quantities
The dimensional formula of a physical quantity can be obtained by defining its relation with other physical quantities and then expressing these quantities in terms of mass [M], length [L] and time [..
..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 involving difference of two observed quantities
Suppose X = a - b Let D a and D b be absolute errors in measurements of quantities a and b, values of a and b and D X be maximum error in X. Maximum absolute error in X = Maximum absolute error in a + Maximum absolute error in b From equations (1) and (2) it is evident that, when ..
Suppose X = a - b Let D a and D b be absolute errors in measurements of quantities a and b, values of a and b and D X be maximum error in X. Maximum absolute error in X = Maximum absolute error in a + Maximum absolute error in b From equations (1) and (2) it is evident that, when ..Result involving the product of two observed quantities
Suppose X = ab Let D a and D b be absolute errors in measurements of quantities a and b, values of a and b and D X be the maximum possible error in X. Dividing both sides by X = ab, we get are relative errors of fractional errors in values of a, b and x. Neglecting as its prod..
Suppose X = ab Let D a and D b be absolute errors in measurements of quantities a and b, values of a and b and D X be the maximum possible error in X. Dividing both sides by X = ab, we get are relative errors of fractional errors in values of a, b and x. Neglecting as its prod..Principle of Homogeneity of Dimensions
It states that if the dimensions of each term on both the sides of equation are same, then the physical quantity will be corre..
Introduction - Systems of Units
A unit of a quantity is the standard quantity used to measure a physical quantity..
Dimensional Formulae and Dimensional Equation
It is the term which tells about the power with which a fundamental quantity is contained in a physical quantity..
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