What are the limitation of dimensional analysis?
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1)The value of dimensionless constants cannot be determined by this method
2)This method cannot be applied to equation involving exponential and trigonometric function
3)It cannot be applied to an equation involving more than three physical quantities
4)It can check only whether a physical relation is dimensionally correct or not.It cannot tell whether the relation is absolutely correct or not.
For example, applying this technique s=ut+1/4at2 is dimensionally correct whereas the correct relation is s=ut+1/2at2.
2)This method cannot be applied to equation involving exponential and trigonometric function
3)It cannot be applied to an equation involving more than three physical quantities
4)It can check only whether a physical relation is dimensionally correct or not.It cannot tell whether the relation is absolutely correct or not.
For example, applying this technique s=ut+1/4at2 is dimensionally correct whereas the correct relation is s=ut+1/2at2.
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