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Electrostatics question

2020 · 6 Sep · Shift 2 · Q55
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Electrostatics question

2020 · 6 Sep · Shift 2 · Q55

JEE MainPhysicsElectrostaticsMCQ+4 / −1
Consider the force F on a charge 'q' due to a uniformly charged spherical shell of radius R carrying charge Q distributed uniformly over it. Which one of the following statements is true for F, if 'q' is placed at distance r from the centre of the shell?
  1. A
    14πε0qQR2>F>0{1 \over {4\pi {\varepsilon _0}}}{{qQ} \over {{R^2}}} \gt F \gt 04πε0​1​R2qQ​>F>0 for r < R
  2. B
    F=14πε0qQr2F = {1 \over {4\pi {\varepsilon _0}}}{{qQ} \over {{r^2}}}F=4πε0​1​r2qQ​ for r > R
  3. C
    F=14πε0qQr2F = {1 \over {4\pi {\varepsilon _0}}}{{qQ} \over {{r^2}}}F=4πε0​1​r2qQ​ for all r
  4. D
    F=14πε0qQR2F = {1 \over {4\pi {\varepsilon _0}}}{{qQ} \over {{R^2}}}F=4πε0​1​R2qQ​ for r < R
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