A charged cork ball of mass $1 \mathrm{g}$ is suspended on a light string in the presence of a uniform electric field as shown. When $E=(3\hat{i}+5\hat{j})\times {10}^5{\mathrm{NC}}^{-1},$ the ball is in equilibrium at $\theta =37°$, $T$ is the tension in the string and $q$is the charge on the  ball. Take$\sin 37°=0.60$ and$\left. g=10{ \mathrm{ms}}^{-2}\right)$