Q126 / 200 · NEET 2012 (Screening) · Physics

In the circuit shown the cells $A$ and $B$ have negligible resistances. For $V_A=12 \mathrm{~V}$, $R_1=500 \Omega$ and $R=100 \Omega$ the galvanometer (G) shows no deflection. The value of $V_B$ is Figure

  • A
    $4 \mathrm{~V}$
  • Correct answer
    B
    $2 \mathrm{~V}$
  • C
    $12 \mathrm{~V}$
  • D
    $6 \mathrm{~V}$

Solution

Applying Kirchhoff's law $500 I+100 I=12$ So, $I=\frac{12 \times 10^{-2}}{6}=2 \times 10^{-2}$ Hence, $V_B=100\left(2 \times 10^{-2}\right)=2 \mathrm{~V}$

Hence, the correct answer is option: 'B'.

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