A thin spherical insulating shell of radius $R$ carries a uniformly distributed charge such that the potential at its surface is $\mathrm{V}_0$. A hole with a small area $\alpha 4 \pi \mathrm{R}^2(\alpha \ll 1)$ is made on the shell without affecting the rest of the shell. Which one of the following statements is correct?
Select the correct option:
A
The ratio of the potential at the center of the shell to that of the point at $\frac{1}{2} R$ from center towards the hole will be $\frac{1-\alpha}{1-2 \alpha}$
B
The magnitude of electric field at the center of the shell is reduced by $\frac{\alpha V_0}{2 R}$
C
The magnitude of electric field at a point, located on a line passing through the hole and shell's center on a distance $2 R$ from the center of the spherical shell will be reduced by $\frac{\alpha V_0}{2 R}$
D
The potential at the center of the shell is reduced by $2 \alpha \mathrm{~V}_0$
Hello 👋 Welcome to Competishun – India’s most trusted platform for JEE & NEET preparation. Need help with JEE / NEET courses, fees, batches, test series or free study material? Chat with us now 👇
