what are 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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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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