An infinitely long thin non-conducting wire is parallel to the z-axis and carries a uniform line charge density 2. It pierces a thin non- conducting spherical shell of radius R in such a way that the arc PQ subtends an angle 120 at the centre O of the spherical shell, as shown in the figure. The permittivity of free space is &o. Which of the following statements is (are) true? (A) The electric flux through the shell is 3R2 /& (B) The z-component of the electric field is zero at all the points on the surface of the shell (C) The electric flux through the shell is 2R2 /& (D) The electric field is normal to the surface of the shell at all points 2 P O ********** R 120 Z