Gauss S Law

The problem requires finding the ratio of electric flux passing through two concentric hollow cubes, C1 and C2. We can solve this using Gauss's Law, which states that the electric flux through a closed surface is proportional to the charge enclosed by that surface. The formula is given by:

Calculate the electric flux through cube C1:

Since cube C1 encloses a charge of , the electric flux through C1, , is:

Calculate the electric flux through cube C2:

Cube C2 encloses both the charge inside C1 and its own charge, totaling . Therefore, the electric flux through C2, , is:

Find the ratio of electric flux through C1 and C2:

The ratio is:

Hence, the ratio of electric flux passing through C1 and C2 is .