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202207071143 Exercise 18.1 (Q1)

The Sun is a yellow star and emits most of its radiation in the yellow portion of the spectrum. If the sun’s radiation peaks at a frequency of 5.20\times 10^{14}\,\mathrm{Hz}, how much energy is emitted by one photon of this visible yellow light?

J. B., Hickman. (2002). Problem-Solving Exercises in Physics

Roughwork.

In joules,

\begin{aligned} E&=hf \\ & = (6.63\times 10^{-34}\,\mathrm{J\cdot s})(5.20\times 10^{14}\,\mathrm{Hz}) \\ & = 3.4476\times 10^{-19}\,\mathrm{J} \\ \end{aligned}

In electron volts,

\begin{aligned} E & = \frac{3.4476\times 10^{-19}\,\mathrm{J}}{1.60\times 10^{-19}\,\mathrm{J/eV}} \\ & = 2.15475\,\mathrm{eV} \\ \end{aligned}