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Question:

A solid ball of radius $R$ has a charge density $\rho$ given by $\rho=\rho_{0}\left(1-\frac{r}{R}\right)$ for $0 \leq r \leq R$. The electric field outside the ball is:

1. $\frac{\rho_{0} R^{3}}{\varepsilon_{0} r^{2}}$

2. $\frac{4 \rho_{0} R^{3}}{3 \varepsilon_{0} r^{2}}$

3. $\frac{3 \rho_{0} R^{3}}{4 \varepsilon_{0} r^{2}}$

4. $\frac{\rho_{0} R^{3}}{12 \varepsilon_{0} r^{2}}$

Correct Option: 4

Solution:

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