Answer:
[tex]1.9878\times 10^{-13}\ Joules[/tex]
Explanation:
c = Speed of light = [tex]3\times 10^8\ m/s[/tex]
[tex]\lambda[/tex] = Wavelength = [tex]1\times 10^{-3}\times 10^{-9}\ m[/tex]
h = Planck's Constant = [tex]6.626\times 10^{-34}\ m^2kg/s[/tex]
Energy
[tex]E=h\nu[/tex]
Frequency
[tex]\nu=\frac{c}{\lambda}\\\Rightarrow \nu=\frac{3\times 10^8}{1\times 10^{-3}\times 10^{-9}}\\\Rightarrow \nu=3\times 10^{20}\ Hz[/tex]
[tex]E=h\nu\\\Rightarrow E=6.626\times 10^{-34}\times 3\times 10^{20}\\\Rightarrow E=1.9878\times 10^{-13}\ J[/tex]
The energy of a photon is [tex]1.9878\times 10^{-13}\ Joules[/tex]