Physics - Electrostatics Question with Solution | TestHub

A circular disc of radius$R$carries surface charge density$\sigma \left(r\right)={\sigma }_0\left(1-\frac{r}{R}\right)$, where${\sigma }_0$is a constant and$r$is the distance from the center of the disc. Electric flux through a large spherical surface that encloses the charged disc completely is${\varphi }_0$. Electric flux through another spherical surface of radius$\frac{R}{4}$and concentric with the disc is$\varphi$. Then the ratio$\frac{{\varphi }_0}{\varphi }$is