To know the resistance G of a galvanometer by half deflection method, a battery of emf $V_E$ and resistance $R$ is used to deflect the galvanometer by angle $\theta$. If a shunt of resistance $S$ is needed to get half deflection then $G, R$ and $S$ are related by the equation :

Question

$\begin{array}{1 1}(1) 2S(R+G) =RG \\ (2) S(R+G)=RG \\ (3) 2S=G \\ (4) 2G=S \end{array} $