Question

Dimensions of 'ohm' are same as (where $\mathrm{h}$ is planck's constant and e is charge):

• A. $\frac{h}{e}$
• B. $\frac{h}{e^2}$
• C. $\frac{{\mathrm{h}}^2}{\mathrm{e}}$
• D. $\frac{h^2}{e^2}$

Answer 1

Answer: (B)

$\frac{\mathrm{h}}{{\mathrm{e}}^2}=\frac{{\mathrm{ML}}^2{\mathrm{T}}^{-1}}{(\mathrm{AT}{)}^2}={\mathrm{ML}}^2{\mathrm{T}}^{-3}{\mathrm{A}}^{-2}=\text{Resistance }(\mathrm{ohm})$