The work function for a metal is 4.31 eV. Ultraviolet light of wavelength 125 nm is incident on the clean surface of this metal. What is the photon energy of the ultraviolet light in units of eV?
Question
The work function for a metal is 4.31 eV. Ultraviolet light of wavelength 125 nm is incident on the clean surface of this metal. What is the photon energy of the ultraviolet light in units of eV?
Solution
To find the energy of the photon, we can use the formula:
E = hc/λ
where: E is the energy of the photon, h is Planck's constant (4.135667696 x 10^-15 eV*s), c is the speed of light (3.00 x 10^8 m/s), and λ is the wavelength of the light.
First, we need to convert the wavelength from nm to m:
125 nm = 125 x 10^-9 m
Now we can substitute the values into the formula:
E = (4.135667696 x 10^-15 eV*s * 3.00 x 10^8 m/s) / (125 x 10^-9 m) E = 9.92560167 eV
So, the photon energy of the ultraviolet light is approximately 9.93 eV.
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