In the arrangement shown in the figure when the switch $S_{2}$ is open, the galvanometer shows no deflection for l = L/2. When the switch $S_{2}$ is closed, the galvanometer shows no deflection for l = $\frac{5}{12} L$ . The internal resistance (r) of 6 V cell, and the emf E of the other battery are respectively

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When $$S2$$ is open, $$l=$$ $$L/2$$ ∴$$E=6VL/2L=12$$ Vwhen $$S2$$ is closed $$V10=12L$$×$$512L=5But$$   $$V10=10$$×$$610+r10$$×$$610+r=5$$   ⇒  $$r=2$$ Ω

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In the arrangement shown in the figure when the switch S2 is open, the galvanometer shows no deflection for l = L/2. When the switch S2 is closed, the galvanometer shows no deflection for l = 512L . The internal resistance (r) of 6 V cell, and the emf E of the other battery are respectively

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