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A potentiometer wire AB having length L and resistance 12 r is joined to a cell D of emf ε and internal resistance r. A cell C having emf ε / 2 and internal resistance 3r is connected. The length AJ at which the galvanometer as shown in figure shows no deflection is: 

(1) 11/12 L

(2) 11/24 L

(3) 13/24 L

(4) 5/12 L

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