A charged cork ball having mass \(1 g\) and charge \(q\) is suspended on a light string in a uniform electric field as shown in figure. The ball is in equilibrium at \(\theta=37^{\circ}\), when value of electric field is \(\mathbf{E}=(3 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}) \times 10^5 \mathrm{NC}^{-1}\). (Assume, \(T\) as tension in the string.) Which of the following options are correct? (Given, \(\sin 37^{\circ}=0.60\) and \(g=10 \mathrm{~ms}^{-2}\) )

1. A \(q=11 \times 10^{-8} \mathrm{C}\)
2. B \(T=5.55 \times 10^{-3} \mathrm{~N}\)
3. C \(q=12 \times 10^{-9} \mathrm{C}\)
4. D \(T=4.55 \times 10^{-3} \mathrm{~N}\)