An infinitely long thin non-conducting wire is parallel to the z-axis
and carries a uniform line charge density ????. It pierces a thin nonconducting spherical shell of radius R in such a way that the arc PQ
subtends an angle 120⁰ at the centre O of the spherical shell, as shown
in the figure. The permittivity of free space is ????₀. Which of the
following statements is (are) true?
(A) The electric flux through the shell is√3R???? /????₀
(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 √2R???? /????₀
(D) The electric field is normal to the surface of the shell at all points
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