A charge 'q' is placed at one corner of a cube as shown in the figure. The flux of electrostatic field \(\overrightarrow E \) through the shaded area is: 

1
\(\frac{q}{{48{\varepsilon _0}}}\)
2
\(\frac{q}{{4{\varepsilon _0}}}\)
3
\(\frac{q}{{8{\varepsilon _0}}}\)
4
\(\frac{q}{{24{\varepsilon _0}}}\)

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