An early model for an atom considered it to have a positively charged point nucleus of…

Physics · Class 12 · CBSEElectric Charges and Fields

An early model for an atom considered it to have a positively charged point nucleus of charge Ze, surrounded by a uniform density of negative charge upto a radius R. The atom as a whole is neutral. The electric field at a distance r from the nucleus is (r < R)

  1. \(\frac{Z e}{4 \pi \varepsilon_{0}}\left[\frac{1}{r^{2}}-\frac{r}{R^{3}}\right]\)
  2. \(\frac{Z e}{4 \pi \varepsilon_{0}}\left[\frac{1}{r^{3}}-\frac{r}{R^{2}}\right]\)
  3. \(\frac{Z e}{4 \pi \varepsilon_{0}}\left[\frac{r}{R^{3}}-\frac{1}{r^{2}}\right]\)
  4. \(\frac{Z e}{4 \pi \varepsilon_{0}}\left[\frac{r}{R^{3}}+\frac{1}{r^{2}}\right]\)

Answer

(A) Z e 4 _ 0 [ 1 r^ 2 - r R^ 3 ]

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