Let there be a spherically symmetric charge distribution with charge density varying as \( \rho(...

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Let there be a spherically symmetric charge distribution with charge density varying as \( \rho(r)=\rho_{0}\left(\frac{5}{4}-\frac{r}{R}\right) \) upto \( r=R \), and \( \rho(r)=0 \) for \( r>R \), where \( r \) is the distance from the origin. The electric field at a distance \( r(r<R) \) from the origin is given by
 
(a) \( \frac{\rho_{0} r}{4 \varepsilon_{0}}\left(\frac{5}{4}-\frac{r}{R}\right) \)
(b) \( \frac{4 \pi \rho_{0} r}{3 \varepsilon_{0}}\left(\frac{5}{3}-\frac{r}{R}\right) \)
(c) \( \frac{\rho_{0} r}{4 \varepsilon_{0}}\left(\frac{5}{3}-\frac{r}{R}\right) \)
(d) \( \frac{4 \rho_{0} r}{3 \varepsilon_{0}}\left(\frac{5}{4}-\frac{r}{R}\right) \)
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