MCQ
If $w, x, y$ and $z$ are mass, length, time and current respectively, then $\frac{x^2w}{y^3z}$ has dimensional formula same as
- ✓electric potential
- Bcapacitance
- Celectric field
- Dpermittivity
✓
Answer
Correct option: A.
electric potential
a
$\left[\frac{\mathrm{x}^{2} \mathrm{w}}{\mathrm{y}^{3} \mathrm{z}}\right]=\frac{\mathrm{ML}^{2}}{\mathrm{T}^{3} \mathrm{A}}$
$\left[\frac{\mathrm{x}^{2} \mathrm{w}}{\mathrm{y}^{3} \mathrm{z}}\right]=\frac{\mathrm{ML}^{2}}{\mathrm{T}^{3} \mathrm{A}}$
$\Rightarrow \quad\left[\frac{\mathrm{x}^{3} \mathrm{w}}{\mathrm{y}^{3} \mathrm{z}}\right]=\frac{\mathrm{ML}^{2} \mathrm{T}^{-2}}{\mathrm{AT}}=\frac{[\mathrm{Work}]}{[\mathrm{Charge}]}$
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