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Q.

Dimensional formula of self-inductance is

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a

$[{ML}^{2} T^{- 2} A^{- 1}]$

b

$[{MLT}^{- 2} A^{- 2}]$

c

$[{ML}^{2} T^{- 2} A^{- 2}]$

d

$[{ML}^{2} T^{- 1} A^{- 2}]$

answer is C.

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Detailed Solution

$L = \frac{ε}{(\frac{di}{dt})}$

$\Rightarrow \frac{[\frac{W}{q}]}{[\frac{di}{dt}]} = \frac{[\frac{{ML}^{2} T^{- 2}}{AT}]}{[\frac{A}{T}]}$

$\Rightarrow [L] = [{ML}^{2} T^{- 2} A^{- 2}]$

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Dimensional formula of self-inductance is