Question

A linear charge having linear charge density $\lambda$ penetrates a cube diagonally and then it penetrates a sphere diametrically as shown. What will be the ratio of flux coming out of cube and sphere?

• A. $\frac{1}{2}$
• B. $\frac{2}{\sqrt{3}}$
• C. $\frac{\sqrt{3}}{2}$
• D. $\frac{1}{1}$

Answer 1

The correct option is C $\frac{\sqrt{3}}{2}$

Flux coming out of the cube, ${\varphi }_1=\frac{\lambda .a\sqrt{3}}{{ϵ}_0}$
and from sphere ${\varphi }_2=\frac{\lambda .2a}{{ϵ}_0}$