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# If $h$ - is plank constant,e charge then dimension of ohm is same as

$(a)\;\large\frac{h}{e} \quad (b)\;\frac{h^2}{e}\quad (c)\;\frac{h}{e^2}\quad (d)\;\frac{h^2}{e^2}$

unit of $h$ is $JS \qquad e-charge$
$\large\frac{h}{e^2}=\frac{work\;done \;\times \;time}{Q^2}$
$\qquad=\Large\frac{\Large\frac{work\;done}{Q}}{\Large\frac{Q}{time}}$
$\qquad=\large\frac{V}{I}$
$\qquad=R$
So ( c ) is the correct answer.
edited May 30, 2014