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Electrostatics question

2016 · 10 Apr · Shift 1 · Q55
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Electrostatics question

2016 · 10 Apr · Shift 1 · Q55

JEE MainPhysicsElectrostaticsMCQ+4 / −1
Within a spherical charge distribution of charge density ρ\rhoρ(r), N equipotential surfaces of potential V0, V0 + Δ\DeltaΔ V, V0 + 2 Δ\DeltaΔ V, .......... V0 + N Δ\DeltaΔ V (Δ\DeltaΔ V > 0), are drawn and have increasing radii r0, r1, r2,..........rN, respectively. If the difference in the radii of the surfaces is constant for all values of V0 and Δ\DeltaΔ V then :
  1. A
    ρ\rhoρ(r) α\alphaα r
  2. B
    ρ\rhoρ (r) = constant
  3. C
    ρ\rhoρ(r) α1r\alpha {1 \over r}αr1​
  4. D
    ρ\rhoρ(r) α1r2\alpha {1 \over {{r^2}}}αr21​
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