A charged shell of radius R carries a total charge Given φ as the flux of electric field through a closed cylindrical surface of height h, radius r and with its center same as that of the shell. Here, center of the cylinder is a point on the axis of the cylinder which is equidistant from its top and bottom surfaces. Which of the following option(s) is/are correct ?
[∈0 is the permittivity of free space]
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For option (A), cylinder encloses the shell, thus option is correct
For option (B),

cylinder perfectly enclosed by shell,
thus φ = 0, so option is correct.
For option (C)

For option (D) :
Flux enclosed by cylinder =