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(C) The power $P$ radiated by the lamp is given by the energy of $n$ photons emitted in time $t$: $P = \frac{n}{t} \frac{hc}{\lambda}$.Rearranging for

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$2.5 	imes 10^{20}$

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(C) The power $P$ radiated by the lamp is given by the energy of $n$ photons emitted in time $t$: $P = \frac{n}{t} \frac{hc}{\lambda}$.Rearranging for the number of photons per second $\frac{n}{t} = \frac{P \lambda}{hc}$.Given: $P = 100 \ W$,$\lambda = 5000 \ \mathring{A} = 5000 	imes 10^{-10} \ m$,$h = 6.63 	imes 10^{-34} \ J \cdot s$,$c = 3 	imes 10^8 \ m/s$.Substituting the values: $\frac{n}{t} = \frac{100 	imes 5000 	imes 10^{-10}}{6.63 	imes 10^{-34} 	imes 3 	imes 10^8}$.$\frac{n}{t} = \frac{5 	imes 10^{-5}}{19.89 	imes 10^{-26}} \approx 2.51 	imes 10^{20}$.Thus,the number of photons radiated per second is approximately $2.5 	imes 10^{20}$.

If the mean wavelength of light radiated by a $100 \ W$ lamp is $5000 \ \mathring{A}$,then the number of photons radiated per second is:

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