what is the limitation of dimension analysis?
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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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Following are the few :
1) It doesn't enables us to determine the value of proportionality constant, which may be a pure number or dimensionless ratio.
2) It can't be used to derive relationship involving trigo. or exponential function.
3) It fails to derive a relationship which guarantee correctness of a relation because many physical quantities have same dimensions.
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