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  4. 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

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Q. 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

WBJEEWBJEE 2015

Solution:

Consider the diagram
image
In above the flux coverage of three face is shown in figure.
Which is like a quadrant in any plane. So, flux will be
$\phi=\frac{1}{4} \times \frac{q}{6 \varepsilon_{0}}=\frac{q}{24 \varepsilon_{0}}$