Respuesta :
The frequency and energy of most energetic of these photons is[tex]1.36*10^{15}[/tex] Hz and [tex]9.04*10^{-19}[/tex] J respectively.
The high energy photons will have least wavelength. Taking the given less wavelength for calculation of frequency and energy of photons.
λ = 2200 Å
Also, we know, 1 Å = [tex]10^{-10}[/tex] m
So, λ = [tex]2200*10^{-10}[/tex]
λ = [tex]2.2*10^{-7}[/tex] m
Now, calculating frequency using the formula -
c = fλ, where c is speed of light, f is frequency and λ is wavelength.
We know, c = [tex]3*10^{8}[/tex] m/s
f = c/λ
f = [tex]\frac{3*10^{8} }{2.2*10^{-7} }[/tex]
frequency = [tex]1.36*10^{15}[/tex] Hz
Now, calculating Energy through the formula -
E = hf, where E is energy, h is planck's constant and f is frequency
Value of planck's constant = [tex]6.63*10^{-34}[/tex] Js
E = [tex]6.63*10^{-34}[/tex]*[tex]1.36*10^{15}[/tex]
Energy = [tex]9.04*10^{-19}[/tex] J
Thus, frequency and energy of photons is [tex]1.36*10^{15}[/tex] Hz and [tex]9.04*10^{-19}[/tex] J respectively.
Learn more about energy of photon -
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