What are the limitations on dimensional analysis?
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■ if there are more than 3 or not then it will not help in finding powers of more than three unknowns .
■it will not help in solving mathematical equations or any constants in dimensional analysis .
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.