An infinitely large sheet of charge (surface charge density σ) is passed through a sphere as  shown  in the figure. The flux passing through the sphere is.

(1) $\frac{\mathrm{\pi }{R}^2\mathrm{\sigma }}{4{\mathrm{\epsilon }}_0}$
(2) $\frac{2\mathrm{\pi }{R}^2\mathrm{\sigma }}{4{\mathrm{\epsilon }}_0}$
(3) $\frac{3\mathrm{\pi }{R}^2\mathrm{\sigma }}{4{\mathrm{\epsilon }}_0}$
(4) $\frac{\mathrm{\pi }{R}^2\mathrm{\sigma }}{{\mathrm{\epsilon }}_0}$