An infinite uniformly charged sheet with surface charge density σ cuts through a spherical Gaussian surface of radius R at a distance x from its center, as shown in the figure. The electric flux φ through the Gaussian surface is :-

Options

• Option A

  $\frac{\pi R^2\sigma}{\varepsilon_{\omicron}}$

• Option B

  $\frac{2\pi\left(R^2-x^2\right)\sigma}{\varepsilon_{\omicron}}$

• Option C

  $\frac{\pi\left(R-x\right)^2\sigma}{\varepsilon_{\omicron}}$

• Option D

  $\frac{\pi\left(R^2-x^2\right)\sigma}{\varepsilon_{\omicron}}$