The dimensions of mutual inductance is

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Q.

The dimensions of mutual inductance is

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a

$[M L^{2} T^{- 2} A^{- 1}]$

b

$[M L^{2} T^{- 3} A^{- 2}]$

c

$[M L^{2} T^{- 3} A^{- 1}]$

d

$[M L^{2} T^{- 2} A^{- 2}]$

answer is C.

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Detailed Solution

$∵ U = \frac{1}{2} M i^{2}$
$\Rightarrow [M] = \frac{[U]}{[r^{2}]} = \frac{M L^{2} T^{- 2}}{A^{2}}$
$[M L^{2} T^{- 2} A^{- 2}]$

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