Answer : The energy of a photon is [tex]18.619\times 10^{-20}J[/tex].
Solution : Given,
Frequency of a photon = [tex]2.81\times 10^{14}s^-[/tex]
Planck' constant = [tex]6.626\times 10^{-34}Js[/tex]
Formula used :
[tex]E=h\nu[/tex]
where,
E = Energy of a photon
h = Planck's constant
[tex]\nu[/tex] = Frequency of a photon
Now put all the given values in above formula, we get
[tex]E=(6.626\times 10^{-34}Js)\times (2.81\times 10^{14}s^-)[/tex] [tex]=18.619\times 10^{-20}J[/tex]
Thus, the energy of a photon is [tex]18.619\times 10^{-20}J[/tex].