- Home
- Standard 11
- Physics
1.Units, Dimensions and Measurement
medium
If $w, x, y$ and $z$ are mass, length, time and current respectively, then $\frac{x^2w}{y^3z}$ has dimensional formula same as
Aelectric potential
Bcapacitance
Celectric field
Dpermittivity
Solution
$\left[\frac{\mathrm{x}^{2} \mathrm{w}}{\mathrm{y}^{3} \mathrm{z}}\right]=\frac{\mathrm{ML}^{2}}{\mathrm{T}^{3} \mathrm{A}}$
$\Rightarrow \quad\left[\frac{\mathrm{x}^{3} \mathrm{w}}{\mathrm{y}^{3} \mathrm{z}}\right]=\frac{\mathrm{ML}^{2} \mathrm{T}^{-2}}{\mathrm{AT}}=\frac{[\mathrm{Work}]}{[\mathrm{Charge}]}$
$\Rightarrow \quad\left[\frac{\mathrm{x}^{3} \mathrm{w}}{\mathrm{y}^{3} \mathrm{z}}\right]=\frac{\mathrm{ML}^{2} \mathrm{T}^{-2}}{\mathrm{AT}}=\frac{[\mathrm{Work}]}{[\mathrm{Charge}]}$
Standard 11
Physics
