# Consider the force F on a charge 'q' due to a uniformly charged a spherical shell of radius R carrying charge Q distributed uniformly over it. Which one of the following statements is true for F, if 'q' is placed at distance r from the centre of the shell?   Option: 1 $F=\frac{1}{4\pi \epsilon _{0}}\; \frac{Qq}{r^{2}}\; for\; r>R$   Option: 2 Option: 3   Option: 4 for all r

$\\ \text{Inside the shell} \mathrm{E}=0 hence F=0 \\ Oustside the sheell \mathrm{E}=\frac{1}{4 \pi \varepsilon_{0}} \frac{\mathrm{Q}}{\mathrm{r}^{2}}$

$\begin{array}{l} \mathrm{E}=\frac{1}{4 \pi \varepsilon_{0}} \frac{\mathrm{Q}}{\mathrm{r}^{2}} \\ \\ \text { hence } \mathrm{F}=\frac{1}{4 \pi \varepsilon_{0}} \frac{\mathrm{Qq}}{\mathrm{r}^{2}} \text { for } \mathrm{r}>\mathrm{R} \end{array}$

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