Let there be a spherically symmetric charge distribution with charge density varying as \rho(r)=\rho_0 (\frac{5}{4}-\frac{r}{R}) upto r=R, and \rho(r)=0 for r>R, where r is the distance from the erigin. The electric field at a distance r(r< R) from the origin is given by [AIEEE 2010]

Correct Answer is : ρ0r4ε0(53−rR)

\frac{\rho_0 r}{4 \epsilon_0} (\frac{5}{3}-\frac{r}{R})

\frac{4 \pi \rho_0 r}{3 \epsilon_0} (\frac{5}{3}-\frac{r}{R})

\frac{4 \rho_0 r}{4 \epsilon_0} (\frac{5}{4}-\frac{r}{R})

\frac{\rho_0 r}{3 \epsilon_0} (\frac{5}{4}-\frac{r}{R})

AIEEE 2010 Solved Paper

Section: Physics

Question : 41 of 89

Marks: +1, -0

Let there be a spherically symmetric charge distribution with charge density varying as ρ(r)=ρ0(‌

−‌

) upto r=R, and ρ(r)=0 for r>R, where r is the distance from the erigin. The electric field at a distance r(r<R) from the origin is given by

[AIEEE 2010]

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