question_answer

A charge q is placed at one corner of a cube. The electric flux through any of the three faces adjacent to the charge is zero. The flux through any one of the other three faces is

A)  \[q/3\,{{\varepsilon }_{0}}\]

B)  \[q/6\,{{\varepsilon }_{0}}\]

C)  \[q/12\,{{\varepsilon }_{0}}\]

D)  \[q/24\,{{\varepsilon }_{0}}\]

Correct Answer: D

Solution :

 Consider the diagram In above the flux coverage of three face is shown in figure. Which is like a quadrant in any plane. So, flux will be \[\text{o }\!\!|\!\!\text{ =}\frac{1}{4}\times \frac{q}{6{{\varepsilon }_{0}}}=\frac{q}{24{{\varepsilon }_{0}}}\]