Problem: Calculate the energy of a photon of wavelength 0.154 nm .

FREE Expert Solution

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:


E=


E = energy = J
▪h = Planck's constant = 6.626x10-34 J
s
▪ν = frequency = Hz or s-1


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:


λ=cν

 c = speed of light = 3.0x108 m/s
▪ λ = wavelength, m


Rearranging the above equation


c=λ·νcλ=λ·νλν=cλ

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Problem Details

Calculate the energy of a photon of wavelength 0.154 nm .