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Electrostatics question

2019 · 12 Apr · Shift 2 · Q55
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Electrostatics question

2019 · 12 Apr · Shift 2 · Q55

JEE MainPhysicsElectrostaticsMCQ+4 / −1
Let a total charge 2Q be distributed in a sphere of radius R, with the charge density given by ρ\rhoρ(r) = kr, where r is the distance from the centre. Two charges A and B, of –Q each, are placed on diametrically opposite points, at equal distance, aaa from the centre. If A and B do not experience any force, then :
  1. A
    a=8−1/4Ra = {8^{ - 1/4}}Ra=8−1/4R
  2. B
    a=2−1/4Ra = {2^{ - 1/4}}Ra=2−1/4R
  3. C
    a=3R21/4a = {{3R} \over {{2^{1/4}}}}a=21/43R​
  4. D
    a=R3a = {R \over {\sqrt 3 }}a=3​R​
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