Question

The method of dimensional analysis can be used to derive which of the following relations ?

• A. $N_0{e}^{-\lambda }$
• B. $Asin(\omega +kx)$
• C. $\frac{1}{2}m{v}^2+\frac{1}{2}{\omega }^2$
• D. None of these

Answer 1

The correct option is D None of these

None of these can be derived using dimensional analysis because dimensional analysis can only tell the dimensional quantities that constitute the formula and not the constant values. In above relations, there are constant values, $N_0,A$ and $\frac{1}{2}$ which can't be determined by dimensional analysis.