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Electrostatics question

2019 · Shift 1 · Q46
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Electrostatics question

2019 · Shift 1 · Q46

JEE AdvancedPhysicsElectrostaticsMultiple correct+4 / −1
A charged shell of radius R carries a total charge Q. Given ϕ\phiϕ 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? [∈\in∈ 0 is the permittivity of free space]
  1. A
    If h > 2R and r = 4R / 5 then ϕ\phiϕ= Q / 5 ∈\in∈ 0
  2. B
    If h > 2R and r = 3R / 5 then ϕ\phiϕ= Q / 5 ∈\in∈ 0
  3. C
    If h > 8R /5 and r = 3R / 5 then ϕ\phiϕ = 0
  4. D
    If h > 2R and r = R then ϕ\phiϕ= Q /∈\in∈ 0
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