In calculating the energy with a given wavelength, just use the Planck’s Equation. First calculate for the frequency using the wave equation. Just divide the speed of light which is 3x10^8 m/s with the given wavelength (705x10^-9 m). Then multiply the frequency with the Planck constant which is 6.63 x10^-34 J. The answer would be 2.82x10^-19 J.
Answer: The energy of the photon is [tex]2.82\times 10^{-19}J[/tex]
Explanation:
The relation between energy and wavelength of light is given by Planck's equation, which is:
[tex]E=\frac{hc}{\lambda}[/tex]
where,
E = energy of the photon
h = Planck's constant = [tex]6.626\times 10^{-34}Js[/tex]
c = speed of light = [tex]3.0\times 10^8m/s[/tex]
[tex]\lambda[/tex] = wavelength of photon = 705 nm = [tex]705\times 10^{-9}m[/tex] (Conversion factor: [tex]1m=10^9nm[/tex] )
Putting values in above equation, we get:
[tex]E=\frac{6.626\times 10^{-34}Js\times 3.0\times 10^8m/s}{705\times 10^{-9}m}\\\\E=2.82\times 10^{-19}J[/tex]
Hence, the energy of the photon is [tex]2.82\times 10^{-19}J[/tex]
