We're asked to** calculate the energy of a photon** of wavelength 0.154 nm.

Recall that the energy of a photon is given by:

$\overline{){\mathbf{E}}{\mathbf{=}}{\mathbf{h\nu}}}$

▪E = energy = J

▪h = Planck's constant = 6.626x10^{-34} J∙s▪ν = frequency = Hz or s

*In the equation, the frequency of the photon is used but the wavelength is given. **We can relate frequency and wavelength using the speed of light:*

The relationship between wavelength and frequency is as follows:

$\overline{){\mathbf{\lambda}}{\mathbf{=}}\frac{\mathbf{c}}{\mathbf{\nu}}}$

▪* c = speed of light = 3.0x10 ^{8} m/s*▪ λ = wavelength, m

*Rearranging the above equation*:

$\overline{)\mathbf{c}\mathbf{=}\mathbf{\lambda}\mathbf{\xb7}\mathbf{\nu}}\phantom{\rule{0ex}{0ex}}\frac{\mathbf{c}}{\mathbf{\lambda}}\mathbf{=}\frac{\overline{)\mathbf{\lambda}}\mathbf{\xb7}\mathbf{\nu}}{\overline{)\mathbf{\lambda}}}\phantom{\rule{0ex}{0ex}}\overline{){\mathbf{\nu}}{\mathbf{=}}\frac{\mathbf{c}}{\mathbf{\lambda}}}$

Calculate the energy of a photon of wavelength 0.154 nm .

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the The Energy of Light concept. You can view video lessons to learn The Energy of Light. Or if you need more The Energy of Light practice, you can also practice The Energy of Light practice problems.

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Based on our data, we think this problem is relevant for Professor Schurmeier's class at UCSD.