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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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[M0L0T−2A−2]

[ML2T−3A−2]

[M2L0T−3A0]

[ML2T−3A−1]

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detailed solution

Correct option is D

Work done, W=εΔq∴ ε=WΔq=[ML2T−2][AT]∴ [ε]=[ML2T−3A−1]

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

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Ready to Test Your Skills?

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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?