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JEE Advanced 2019 Paper 1

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Question : 6

Total: 54

A charged shell of radius R carries a total charge Q. 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 options is/are correct?
{∈0 is the permittivity of free space]

If h<8R/5 and r=3R/5 then ϕ=0
If h>2R and r>R then ϕ=Q/∈0
If h>2R and r=3R/5 then ϕ=Q/5∈0
If h>2R and r=4R/5 then ϕ=Q/5∈0

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