An early model for an atom considered it to have a positively charg...

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An early model for an atom considered it to have a positively charged point nucleus of charge \( \mathrm{Ze} \),
\( \mathrm{P} \) surrounded by a uniform density of negative charge upto a radius \( R \). The atom as a whole is neutral. The
W electric field at a distance \( r \) from the nucleus is \( (rR) \)
(a) \( \frac{Z e}{4 \pi \varepsilon_{0}}\left[\frac{1}{r^{2}}-\frac{r}{R^{3}}\right] \)
(b) \( \frac{Z e}{4 \pi \varepsilon_{0}}\left[\frac{1}{r^{3}}-\frac{r}{R^{2}}\right] \)
(c) \( \frac{Z e}{4 \pi \varepsilon_{0}}\left[\frac{r}{R^{3}}-\frac{1}{r^{2}}\right] \)
(d) \( \frac{Z e}{4 \pi \varepsilon_{0}}\left[\frac{r}{R^{3}}+\frac{1}{r^{2}}\right] \)
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