Q. A linear charge having linear charge density $\lambda,$ penetrates a cube diagonally and then it penetrate a sphere diametrically as shown. What will be the ratio of flux coming cut of cube and sphere
A) $\frac{1}{2}$
B) $\frac{2}{\sqrt{3}}$
C) $\frac{\sqrt{3}}{2}$
D) $\frac{1}{1}$
Explanation
(c) Flux coming out of the cube $\phi_{1} = \frac{\lambda.a\sqrt{3}}{\varepsilon_{0}}$ …(i)
And from sphere $\phi_{1} = \frac{\lambda.2a}{\varepsilon_{0}}$ …(ii)
$\therefore\frac{\phi_{1}}{\phi_{2}} = \frac{\sqrt{3}}{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.