A battery of emf \( 2 \mathrm{~V} \) is connected across a long uniform wire \( A B \) of length...

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A battery of emf \( 2 \mathrm{~V} \) is connected across a long uniform wire \( A B \) of length \( 100 \mathrm{~cm} \) and resistance \( 0.02 \Omega \mathrm{cm}^{-1} \). Two cells of emfs \( 1 \mathrm{~V} \) and \( 2 \mathrm{~V} \) are connected as shown in Fig. 3(CF).36. If the galvanometer shows no deflection at point \( J \), the length of wire \( A J \) is equal to
(a) 0
(b) \( 25 \mathrm{~cm} \)
(c) \( 50 \mathrm{~cm} \)
(d) \( 100 \mathrm{~cm} \)
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