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(C) $1$. Calculate the total number of incident photons $(n)$: $n = \frac{E \lambda}{hc} = \frac{1 	imes 10^{-7} 	imes 200 	imes 10^{-9}}{6.63 	im

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$3$

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(C) $1$. Calculate the total number of incident photons $(n)$: $n = \frac{E \lambda}{hc} = \frac{1 	imes 10^{-7} 	imes 200 	imes 10^{-9}}{6.63 	imes 10^{-34} 	imes 3 	imes 10^8} \approx 1.005 	imes 10^{11} \approx 10^{11}$ photons. $2$. Calculate the number of ejected electrons $(N_e)$: Given that $1$ out of $10^3$ photons ejects an electron,$N_e = \frac{n}{10^3} = \frac{10^{11}}{10^3} = 10^8$ electrons. $3$. Calculate the total charge $(q)$ on the sphere: $q = N_e 	imes e = 10^8 	imes 1.6 	imes 10^{-19} \ C = 1.6 	imes 10^{-11} \ C$. $4$. Calculate the potential $(V)$ on the sphere: $V = \frac{1}{4\pi \epsilon_0} \frac{q}{r} = (9 	imes 10^9) 	imes \frac{1.6 	imes 10^{-11}}{4.8 	imes 10^{-2}} = \frac{14.4 	imes 10^{-2}}{4.8 	imes 10^{-2}} = 3 \ V$.

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