Assertion (A) : Physical relations involving | vedclass

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(B) Dimensional analysis is a powerful tool for checking the consistency of equations,but it has significant limitations.$1$. It cannot derive formula

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Both Assertion $\&$ Reason are true and the reason is not correct explanation of the assertion

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(B) Dimensional analysis is a powerful tool for checking the consistency of equations,but it has significant limitations.$1$. It cannot derive formulas containing additive or subtractive terms (e.g.,$s = ut + \frac{1}{2}at^2$) because dimensional analysis only deals with products and quotients of physical quantities.$2$. It cannot determine dimensionless constants (like $1, 2, \pi, e$,etc.) because these constants have no dimensions and thus do not appear in the dimensional formula.Both statements are true. The reason explains why dimensional analysis is limited,but the inability to derive additive relations is a specific consequence of the method's structure,not directly caused by the inability to find constants. Therefore,the reason is a true statement but not the direct explanation for the assertion.

Assertion $(A) :$ Physical relations involving addition and subtraction cannot be derived by dimensional analysis.
Reason $(R) :$ Numerical constants cannot be deduced by the method of dimensions.

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Assertion $(A) :$ Physical relations involving addition and subtraction cannot be derived by dimensional analysis.Reason $(R) :$ Numerical constants cannot be deduced by the method of dimensions.