What is dimensional Analysis ?
Its Limitation and its uses.
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Answers
Explanation:
suppose a new system of unit is chosen in which speed of light C the gravitational constant G and planck constant are chosen as a fundamental quantities the basic quantities mass in essay you can be expressed in the terms of fundamental quantities so in this process dimension is used .
if dimension are given the physical quantity may not be unique for example work energy and talk all have the same dimension formula
numerical constant cannot be reduced by the method of dimensions
method of dimensions can be used to derive relationship other than the product of power functions
the method of dimensions cannot be applied to derive the formula if in mechanics of physical quality depends upon more than three physical quantities because the unknowns will more than equations
even if a physical quantity depends upon three physical quantities out of waste to have same dimensions formula cannot be determined by the theory of dimensions
Answer:
It is a method of analysis in which the physical quantities are expressed in the terms of their fundamental dimensions that is often used when there is not enough information to set up precise equations.
Uses➡️
Dimensional Analysis (also called Factor-Label Method or the Unit Factor Method) is a problem-solving method that uses the fact that any number or expression can be multiplied by one without changing its value. It is a useful technique.
Limitations➡️
It cannot derive relation or formula if a physical quantity depends upon more than three factors having dimensions. It cannot derive a formula containing trigonometric function, exponential function, and logarithmic function. It cannot derive a relation having more than one part in an equation.
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