Consider an initially neutral hollow conducting spherical shell with inner radius $r$ and outer radius $2 r$. A point charge $+Q$ is now placed inside the shell at a distance $r / 2$ from the centre. The shell is then grounded by connecting the outer surface to the earth. $P$ is an external point at a distance $2 r$ from the point charge $+Q$ on the line passing through the centre and the point charge $+Q$ as shown in the figure. The magnitude of the force on a test charge $+q$ placed at $P$ will be
Consider an initially neutral hollow conducting spherical shell with inner radius $r$ and outer radius $2 r$. A point charge $+Q$ is now placed inside the shell at a distance $r / 2$ from the centre. The shell is then grounded by connecting the outer surface to the earth. $P$ is an external point at a distance $2 r$ from the point charge $+Q$ on the line passing through the centre and the point charge $+Q$ as shown in the figure. The magnitude of the force on a test charge $+q$ placed at $P$ will be
- [KVPY 2013]
- A
$\frac{1}{4 \pi \varepsilon_0} \frac{q Q}{4 r^2}$
- B
$\frac{1}{4 \pi \varepsilon_0} \frac{9 q Q}{100 r^2}$
- C
$\frac{1}{4 \pi \varepsilon_0} \frac{4 q Q}{25 r^2}$
- D
$0$
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- [AIIMS 2007]