In the circuit shown the cells \( \mathrm{A} \) and \( \mathrm{B} \) have negligible resistances...

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In the circuit shown the cells \( \mathrm{A} \) and \( \mathrm{B} \) have negligible resistances. For \( \mathrm{V}_{\mathrm{A}}=12 \mathrm{~V}, \mathrm{R}_{1}=500 \Omega \) and \( \mathrm{R}=100 \Omega \) the galvanometer \( (\mathrm{G}) \) shows no
\( \mathrm{P} \) deflection. The value of \( \mathrm{V}_{\mathrm{B}} \) is :-

W
(1) \( 12 \mathrm{~V} \)
(2) \( 6 \mathrm{~V} \)
(3) \( 4 \mathrm{~V} \)
(4) \( 2 \mathrm{~V} \)
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