Calculate the energy of a photon of electromagnetic radiation at 503 nm (wavelength of maximum solar radiation) by filling in the following blank to enter your answer: x 10 J Enter your answer numerically. Be sure to use three significant figures for the digits portion of the scientific notation template.

Respuesta :

Answer: The energy of the photon is [tex]3.95\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  = 503 nm = [tex]503\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}{503\times 10^{-9}m}\\\\E=3.95\times 10^{-19}J[/tex]

Hence, the energy of the photon is [tex]3.95\times 10^{-19}J[/tex]