In the adjoining circuit, the galvanometer $G$ shows zero deflection. If the batteries $A$ and $B$ have negligible internal resistance, the value of the resistor $R$ will be .............. $\Omega$
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Galvanometer will show zero deflection, if $\mathrm{I}_{1}=\mathrm{I}_{2}$

$\therefore $ $\frac{12}{500+R}=\frac{2}{R}$

or $\mathrm{R}=100\, \Omega$

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