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An infinite, uniformly charged sheet with surface charge density \( \sigma \) cuts through a spherical Gaussian surface of radius \( R \) at a distance \( x \) from its center, as shown in the figure. The electric flux \( \Phi \) through
\( P \) the Gaussian surface is :-
(A) \( \frac{\pi \mathrm{R}^{2} \sigma}{\varepsilon_{0}} \)
(B) \( \frac{2 \pi\left(\mathrm{R}^{2}-\mathrm{x}^{2}\right) \sigma}{\varepsilon_{0}} \)
(C) \( \frac{\pi(\mathrm{R}-\mathrm{x})^{2} \sigma}{\varepsilon_{0}} \)
(D*) \( \frac{\pi\left(\mathrm{R}^{2}-\mathrm{x}^{2}\right) \sigma}{\varepsilon_{0}} \)
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