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  4. Which of the following physical quantities have the same dimensions ?

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Q. Which of the following physical quantities have the same dimensions ?

JEE MainJEE Main 2022Current Electricity

Solution:

Electric displacement
$ \vec{ D }=\epsilon_0 \vec{ E } $
$ {[ D ]=\left[\epsilon_0 E \right]=\left[\epsilon_0 \frac{\sigma}{\epsilon_0}\right]} $
$ {[ D ]=[\sigma]}$
$\rightarrow$ Surface change density $=\sigma$.