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PhysicsElecrostaticsGauss LawHard2 minPYQ_2019
PhysicsHardsingle choice

Let a total charge2Qbe distributed in a sphere of radiusR,with the charge density given byρ(r)=kr,whereris the distance from the centre. Two chargesAandB, of-Qeach, are placed on diametrically opposite points, at equal distance, a, from the centre. IfAandBdo not experience any force, then:

Options:

Answer:
D
Solution:

As total charge on sphere is=2Q
2Q=0Rkr4πr2drkπr4=2Q
Charged enclosed in the sphere of radius a
q=0akr×4πr2dr=kπa4
As force on Q is zero
14πε0×Q22a2=kπa44πε0×a2×Q
Q24=kπa4Q
=a42QR4Q
R4=8a4R=814 aor a=8-14R

Stream:JEESubject:PhysicsTopic:ElecrostaticsSubtopic:Gauss Law
2mℹ️ Source: PYQ_2019

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