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Electrostatics question

2009 · Shift 0 · Q63
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Electrostatics question

2009 · Shift 0 · Q63

JEE MainPhysicsElectrostaticsMCQ+4 / −1
Let P(r)=QπR4rP\left( r \right) = {Q \over {\pi {R^4}}}rP(r)=πR4Q​r be the change density distribution for a solid sphere of radius RRR and total charge QQQ. For a point ′p′'p'′p′ inside the sphere at distance r1{r_1}r1​ from the center of the sphere, the magnitude of electric field is :
  1. A
    Q4π ∈0 r12{Q \over {4\pi \,{ \in _0}\,r_1^2}}4π∈0​r12​Q​
  2. B
    Qr124π ∈0 R4{{Qr_1^2} \over {4\pi \,{ \in _0}\,{R^4}}}4π∈0​R4Qr12​​
  3. C
    Qr123π ∈0 R4{{Qr_1^2} \over {3\pi \,{ \in _0}\,{R^4}}}3π∈0​R4Qr12​​
  4. D
    000
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