If only $\frac{1}{51}$ of the main current is to be passed through a galvanometer,then the shunt required is $R_1$. If only $\frac{1}{11}$ of the main voltage is to be developed across the galvanometer,then the resistance required is $R_2$. Find the ratio $\frac{R_2}{R_1}$.

  • A
    $\frac{1}{500}$
  • B
    $\frac{50}{9}$
  • C
    $\frac{500}{3}$
  • D
    $500$

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To find the resistance of a galvanometer by the half-deflection method,the experimental data obtained are given in the table below:
$S. No.$Resistance $R \ (\Omega)$Deflection $(\theta)$Shunt $S \ (\Omega)$Half deflection $(\theta / 2)$Galvanometer resistance $(G)$
$1$$3300$$30$$80$$15$$G_1$
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