An isolated, initially neutral metal sphere of radius $5.0\mathrm{cm}$ and work function $2.0\mathrm{eV}$ is illuminated by light of wavelength $250\mathrm{nm}$. Photoelectrons leave until the sphere's potential stops further emission. Use $h=6.626\times 10^{-34}\mathrm{J}\mathrm{s}$, $c=3.0\times 10^8\mathrm{m}{\mathrm{s}}^{-1}$, $e=1.6\times 10^{-19}\mathrm{C}$, $1/(4\pi {ϵ}_0)=9.0\times 10^9\mathrm{N}{\mathrm{m}}^2{\mathrm{C}}^{-2}$. The number of electrons emitted is closest to

1. A$2.06\times 10^8$
2. B$6.94\times 10^7$
3. C$1.03\times 10^8$
4. D$1.73\times 10^8$