PhysicsMedium46×since 2002Q6956Let there be a spherically symmetric charge distribution with charge density varying as ρ(r)=ρ0(54−rR)\rho \left( r \right) = {\rho _0}\left( {{5 \over 4} - {r \over R}} \right)ρ(r)=ρ0(45−Rr) upto r=R,r=R,r=R, and ρ(r)=0\rho \left( r \right) = 0ρ(r)=0 for r>R,r>R,r>R, where rrr is the distance from the erigin. The electric field at a distance r(r<R)r\left( {r < R} \right)r(r<R) from the origin is given byAρ0r4ε0(53−rR){{{\rho _0}r} \over {4{\varepsilon _0}}}\left( {{5 \over 3} - {r \over R}} \right)4ε0ρ0r(35−Rr)B4πρ0r3ε0(53−rR){{4\pi {\rho _0}r} \over {3{\varepsilon _0}}}\left( {{5 \over 3} - {r \over R}} \right)3ε04πρ0r(35−Rr)C4ρ0r4ε0(54−rR){{4{\rho _0}r} \over {4{\varepsilon _0}}}\left( {{5 \over 4} - {r \over R}} \right)4ε04ρ0r(45−Rr)Dρ0r3ε0(54−rR){{{\rho _0}r} \over {3{\varepsilon _0}}}\left( {{5 \over 4} - {r \over R}} \right)3ε0ρ0r(45−Rr)Check answerSkip