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A battery of emf 10V is connected to a uniform wire AB of 1m length and having a resistance of $10 Ω$ in series with a $10 Ω$ resistor as shown in the figure. Two cells of emf 2V and 3V having internal resistances $2 Ω$ and $3 Ω$ respectively are connected as shown in the figure. If the galvanometer shows null deflection at point J on the wire, the distance of point J from the point B is _____

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48 cm

54 cm

52 cm

50 cm

answer is C.

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Detailed Solution

$V = i \times l$

$V = \frac{E_{1} r_{2} + E_{2} r_{1}}{r_{1} + r_{2}}$

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