Consider an initially neutral hollow conducting spherical shell with inner radius \( r \) and ou...

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 \( +Q \) 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) \( \frac{1}{4 \pi \varepsilon_{0}} \frac{4 q Q}{25 r^{2}} \) 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live