write the limitations of dimensional analysis
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(i) If a physical quantity depends upon more than three different base quantities, the formula cannot be derived with the help of dimensional analysis.
(ii) Dimensional analysis may not give the formula with true physical relationship, e.g., according to dimensional analysis
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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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