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Q.

The work done by a battery is $W = ε Δ q,$ where $Δ q$ charge transferred by battery, $ε =$ emf of the battery. What are dimensions of emf of battery?

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a

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

b

$[M^{0} L^{0} T^{- 2} A^{- 2}]$

c

$[M^{2} L^{0} T^{- 3} A^{0}]$

d

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

answer is D.

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Detailed Solution

Work done, $W = ε Δ q$

$∴$ $ε = \frac{W}{Δ q} = \frac{[M L^{2} T^{- 2}]}{[A T]}$

$∴$ $[ε] = [M L^{2} T^{- 3} A^{- 1}]$

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