A) \[\frac{6q}{{{\varepsilon }_{0}}}\]
B) \[\frac{q}{6{{\varepsilon }_{0}}}\]
C) \[\frac{q}{3{{\varepsilon }_{0}}}\]
D) \[\frac{3q}{{{\varepsilon }_{0}}}\]
Correct Answer: B
Solution :
Key Idea: Cube has six equal faces. Gausss law states that the flux of the electric field out of a closed surface is proportional to the electric charge enclosed in the surface. The constant of proportionality is the reciprocal of the permittivity of free space \[\therefore \] \[\frac{\Delta T}{T}=\frac{1}{2}\frac{\Delta l}{l}\] Since, cube consists of six faces of equal area hence, flux linked with each face is \[\frac{\Delta l}{l}=21%\]
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