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Question

Question: The dimensions of emf in MKS is...

The dimensions of emf in MKS is

A

ML−1T−2Q−2ML^{- 1}T^{- 2}Q^{- 2}

B

ML2T−2Q−2ML^{2}T^{- 2}Q^{- 2}

C

MLT−2Q−1MLT^{- 2}Q^{- 1}

D

ML2T−2Q−1ML^{2}T^{- 2}Q^{- 1}

Answer

ML2T−2Q−1ML^{2}T^{- 2}Q^{- 1}

Explanation

Solution

e=Ldidt⇒[e]=[ML2T−2A−2][AT]e = L\frac{di}{dt} \Rightarrow \lbrack e\rbrack = \lbrack ML^{2}T^{- 2}A^{- 2}\rbrack\left\lbrack \frac{A}{T} \right\rbrack

[e]=[ML2T−2AT]=[ML2T−2Q−1]\lbrack e\rbrack = \left\lbrack \frac{ML^{2}T^{- 2}}{AT} \right\rbrack = \lbrack ML^{2}T^{- 2}Q^{- 1}\rbrack