Answer: [tex] 57.018\times10^{-26}J[/tex]
Energy is directly proportional to the frequency.
The energy of a photon is given by:
[tex]E=h\nu[/tex]
Where, E is the energy and [tex]\nu[/tex] is the frequency.
Frequency of the radio wave is given:
[tex] \nu=8.6\times10^8 Hz[/tex]
[tex]h=6.63\times10^{-34}J.s[/tex]
Multiply the above two:
Energy,
[tex] E=h\nu=6.63\times10^{-34}J.s\times8.6\times10^8 Hz= 57.018\times10^{-26}J[/tex]
Hence, the energy of each photon of radio wave having frequency [tex] \nu=8.6\times10^8 Hz[/tex] is [tex]57.018\times10^{-26}J[/tex]
