Let $\rho (r) =\frac{Q}{{\pi {R^4}}}r$ be the charge density distribution for a solid sphere of radius $R$ and total charge $Q$. For a point '$p$' inside the sphere at distance $r_1$ from the centre of the sphere, the magnitude of electric field is

  • [AIEEE 2009]
  • A

    $0$

  • B

    $\frac{Q}{{4\pi {\varepsilon _0}{r_1}^2}}$

  • C

    $\;\frac{Q}{{4\pi {\varepsilon _0}{R^4}}}$

  • D

    $\;\frac{{Q{r_1}^2}}{{3\pi {\varepsilon _0}{R^4}}}$

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