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  4. Which of the following units denotes the dimensions [ML2/Q2] , where Q denotes the electric charge?

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Q. Which of the following units denotes the dimensions $[ML^2/Q^2]$ , where Q denotes the electric charge?

Electromagnetic Induction

Solution:

Weber $= ML ^{2} T ^{-2} I ^{-1}$
$= ML ^{2} T ^{-2} Q ^{-1} T $
$= ML ^{2} T ^{-1} Q ^{-1} $
$\left( I = QT ^{-1}\right)$
Henry $H$ is SI unit of inductance.
$ H = ML ^{2} T ^{-2} I ^{-2}$
also $I = QT ^{-1} $
so $H = ML ^{2} T ^{-2} Q ^{-2} T ^{2}$
$= ML ^{2} Q ^{-2}$