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chubhunter [2.5K]
3 years ago
7

The line spectrum of lithium has a red line at 670.8 nm. Calculate the energy of a photon with this wavelength.

Physics
1 answer:
Vadim26 [7]3 years ago
5 0
First of all, we can calculate the frequency of the photon, which is related to the wavelength by the following equation:
f= \frac{c}{\lambda}
where c is the speed of light and \lambda=670.8 nm=670.8 \cdot 10^{-9} m is the photon wavelength. Substituting into the formula, we find the frequency
f= \frac{c}{\lambda}= \frac{3 \cdot 10^8 m/s}{670.8 \cdot 10^{-9} m}=4.47 \cdot 10^{14} Hz

Now we can find the energy of the photon with the following equation:
E=hf
where h is the Planck constant. Substituting numbers, we find
E=hf=(6.6 \cdot 10^{-34}Js)(4.47 \cdot 10^{14} Hz)=2.95 \cdot 10^{-19} J
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