A hollow metal sphere of radius $R$ is uniformly charged. The electric field due to the sphere at a distance r from the centre

  • [NEET 2019]
  • A

    increases as $\mathrm{r}$ increases for $\mathrm{r}<\mathrm{R}$ and for $\mathrm{r}>\mathrm{R}$

  • B

    zero as $\mathrm{r}$ increases for $\mathrm{r}<\mathrm{R}$, decreases as $\mathrm{r}$ increases for $\mathrm{r}>\mathrm{R}$

  • C

    zero as $\mathrm{r}$ increases for $\mathrm{r}<\mathrm{R},$ increases as $\mathrm{r}$ increases for $\mathrm{r}>\mathrm{R}$

  • D

    decreases as $\mathrm{r}$ increases for $\mathrm{r}<\mathrm{R}$ and for $\mathrm{r}>\mathrm{R}$

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Obtain the expression of electric field by ......

$(i)$ infinite size and with uniform charge distribution.

$(ii)$ thin spherical shell with uniform charge distribution at a point outside it.

$(iii)$ thin spherical shell with uniform charge distribution at a point inside it.