In the circuit, the galvanometer $G$ shows zero deflection. If the batteries $A$ and $B$ have negligible…

In the circuit, the galvanometer $G$ shows zero deflection. If the batteries $A$ and $B$ have negligible internal resistance, the value of the resistor $\mathrm{R}$ will be
  1. $200 \Omega$
  2. $100 \Omega$
  3. $500 \Omega$
  4. $1000 \Omega$

Solution

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

Asked in: JEE Main 2005

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