Dimensions of ' $o h m$ ' are same as (where $h$ is Planck's constant and $e$ is charge)

\frac{h}{e}

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\frac{h^{2}}{e}

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\frac{h}{e^{2}}

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\frac{h^{2}}{e^{2}}

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Solution

The correct option is B $\frac{h}{e^{2}}$
'ohm' is the unit of resistance and having dimension $= [M L^{2} T^{- 3} A^{- 2}]$
From option C $\Rightarrow \frac{h}{e^{2}} = \frac{M L^{2} T - 1}{(A T)^{2}} = [M L^{2} T^{- 3} A^{- 2}] = R e s i s t a n c e (o h m)$

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Dimensions of 'ohm' are same as (where h is Planck's constant and e is charge)

The correct option is B he2'ohm' is the unit of resistance and having dimension =[ML2T−3A−2]From option C ⇒he2=ML2T−1(AT)2=[ML2T−3A−2]=Resistance(ohm)

Dimensions of ' $o h m$ ' are same as (where $h$ is Planck's constant and $e$ is charge)

The correct option is B $\frac{h}{e^{2}}$
'ohm' is the unit of resistance and having dimension $= [M L^{2} T^{- 3} A^{- 2}]$
From option C $\Rightarrow \frac{h}{e^{2}} = \frac{M L^{2} T - 1}{(A T)^{2}} = [M L^{2} T^{- 3} A^{- 2}] = R e s i s t a n c e (o h m)$