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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3 Ω, 8 V

2 Ω, 12 V

2 Ω, 24 V

3 Ω, 12 V

answer is B.

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Detailed Solution

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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