A tightly wound coil of 200 turns and of radius 20 cm carrying current 5 A . Magnetic field at the centre of the coil is

A current carrying coil experiences a torque due to a magnetic field. The value of the torque is $80 \%$ of the maximum possible torque. The angle between the magnetic field and the normal to the plane of the coil is

An electron in moving with a velocity $\left[\mathbf{i}+3 \hat{\mathbf{j}} \mathrm{~ms}^{-1}\right.$ in an electric field $(\hat{\mathbf{i}}+6 \hat{\mathbf{j}}+2 \hat{\mathbf{k}}) \mathrm{Vm}^{-1}$ and a magnetic field of $(\Omega \mathbf{j}+3 \mathbf{k})$ T. Then, the magnitude and direction (with $X$-axis) of the Lorentz force acting on the electron is