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# calculate the energy and wavelength of a photon of light with a frequency of 7.5x10/14 hz

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calculate the energy and wavelength of a photon of light with a frequency of 7.5x10/14 hz

Jan 19, 2021

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The velocity of the wave, the frequency, and the wavelength is related by the formula: $$v = f\lambda$$.

We substitute v = (speed of light) = c, f = $$7.5\cdot 10^{14}$$.

$$3\cdot 10^8 = 7.5\cdot10^{14} \cdot \lambda\\ \lambda = 4 \cdot 10^{-7}\text{ m}$$

Then, we use Einstein's equation $$E = hf$$ to find the energy of the photon.

$$E = 6.6262\cdot 10^{-34}\cdot 7.5\cdot 10^{14}\\ E = 4.96965 \cdot 10^{-19} J$$

Jan 19, 2021