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In the arrangement shows in fig. , when ...

In the arrangement shows in fig. , 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 = 5//12L`. The internal resistance (r) of 6 V cell and the emf E of the other battery are, respectively

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