Answer: The energy of a photon that has a wavelength of 965 nm is [tex]2.06\times 10^{-16}J[/tex]
Explanation:
The relation between energy and wavelength of light is given by Planck's equation, which is:
[tex]E=\frac{hc}{\lambda}[/tex]
where,
E = energy of the photon =
h = Planck's constant = [tex]6.626\times 10^{-34}Js[/tex]
c = speed of light = [tex]3\times 10^8m/s[/tex]
[tex]\lambda[/tex] = wavelength of light = 965 nm = [tex]965\times 10^{-9}m[/tex] [tex](1nm=10^{-9}m)[/tex]
Putting in the values we get:
[tex]E=\frac{6.626\times 10^{-34}\times 3\times 10^8m/s}{965\times 10^{-9}m}=2.06\times 10^{-16}J[/tex]
Thus the energy of a photon that has a wavelength of 965 nm is [tex]2.06\times 10^{-16}J[/tex]