A charged spherical shell of radius carries a total charge

PHYSICS · Single correct · ISC · Physics · Electrostatics · Electric charge: properties, quantization and conservation

Problem

A charged spherical shell of radius RR carries a total charge QQ. Consider a closed cylindrical surface of height hh and radius rr, with its center coinciding with the center of the shell. The axis of the cylinder is aligned with the center of the shell and is equidistant from the top and bottom surfaces of the cylinder. Let ϕ\phi represent the electric flux through the closed cylindrical surface. The permittivity of free space is denoted by ϵ0\epsilon_0. Which of the following statements regarding the flux Φ\Phi is/are correct? (Adapted from JEE Advanced 2019) (1) (2) (3) (4)

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