Answer:
The wavelength of the radio wave is 3.003 m.
The energy of the radio wave is [tex]6.6194\times 10^{-26} J[/tex].
Explanation:
Frequency of the radio waves, ν = 99.9 MHz = [tex]99.9\times 10^6 Hz[/tex]
Wavelength and frequency are related to each other by realtion:
[tex]\lambda =\frac{c}{\nu }[/tex]
[tex]\lambda [/tex] = Wavelength of the wave
c = speed of the light
ν = Frequency of the wave
[tex]\lambda =\frac{3\times 10^8 m/s}{99.9\times 10^6 s^{-1}}=3.003 m[/tex]
The wavelength of the radio wave is 3.003 m.
The energy of the electromagnetic wave is given by Planck's equation:
[tex]E=h\times \nu [/tex]
h = Planck's constant = [tex]6.626\times 10^{-34} Js [/tex]
The energy of the radio wave with 99.9 MHz frequency will be:
[tex]E=6.626\times 10^{-34} Js\times 99.9\times 10^6 s^{-1} [/tex]
[tex]E = 6.6194\times 10^{-26} J[/tex]
The energy of the radio wave is [tex]6.6194\times 10^{-26} J[/tex].
