MCQ
Given that $\int {{e^{ax}}\left. {dx} \right|} = {a^m}{e^{ax}} + C$, then which statement is incorrect (Dimension of $x = L^1$) ?
- A$m = -1$
- BDimension of $C = L^1$
- CDimensions of $a = L^{-1}$
- ✓None of these
✓
Answer
Correct option: D.
None of these
d
$[ax]$ must be dimensionless, dim $[a] = L^{-1}$ ; dim $[a^me^{ax}]$ $= L$
$[ax]$ must be dimensionless, dim $[a] = L^{-1}$ ; dim $[a^me^{ax}]$ $= L$
$\Rightarrow$ dim $(a^m)$ $= L$ $\Rightarrow m = -1$, dim $[C] = L$
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