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Question

Physics Question on physical world

The dimensions of 'resistance' are same as those of........... where hh is the Planck's constant, ee is the charge

A

he2\frac{h}{e^2}

B

he\frac{h}{e}

C

h2e2\frac{h^2}{e^2}

D

h2e\frac{h^2}{e}

Answer

he2\frac{h}{e^2}

Explanation

Solution

Resistance, R=Vi=Wqi=[ML2T2][A2T]R=\frac{V}{i}=\frac{W}{q i}=\frac{\left[ ML ^{2} T ^{-2}\right]}{\left[ A ^{2} T \right]} R=[ML2T3A2]R =\left[ ML ^{2} T ^{-3} A ^{-2}\right] For [he2]=[ML2T1][AT]2\left[\frac{h}{e^{2}}\right]=\frac{\left[ ML ^{2} T ^{-1}\right]}{[ AT ]^{2}} =[ML2T3A2]=\left[ ML ^{2} T ^{-3} A ^{-2}\right]