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A battery of emf E0=12V is connected acr...

A battery of emf `E_0=12V` is connected across a `4 m` long uniform wire having resistance `4Omega//m`. The cell of small emfs `epsilon_1=2V` and `epsilon_2=4V` having internal resistance `2Omega` and `6Omega` respectivley are connected as shown in the figure. If galvanometer shows no diflection at the point `N` the distance of points `N` from the point `A` is equal to

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