WBJEE 2024 Physics & Chemistry Paper

Explanation
To find the total flux of the electric field through the six surfaces of the cube, we can use Gauss's Law. Gauss's Law states that the total electric flux through a closed surface is proportional to the charge enclosed within that surface. Mathematically, it is expressed as:
ΦE=‌

Qenc

E0

where:
ΦE is the electric flux
Q‌enc ‌ is the charge enclosed within the surface E0 is the permittivity of free space
In this scenario, the charge Q is placed at the center of the cube. The cube is a closed surface, and according to Gauss's Law, the total flux through this surface only depends on the enclosed charge Q and not on the dimensions of the cube.
Therefore, the total flux ΦE through the six surfaces of the cube is:

ΦE=‌

Q

E0

So, the correct answer is:
Option C

Q

E0