Electromagnetic radiation with a wavelength of 525 nm appears as green light to the human eye. The energy of one photon of this light is____________.

A) 1.04*10^-22

B)1.4*10^-31

C) 2.64*10^18

D) 3.79*10^-28

E) 3.79*10^-19

Respuesta :

Answer: The energy of one photon of the given light is [tex]3.79\times 10^{-19}J[/tex]

Explanation:

To calculate the energy of one photon, we use Planck's equation, which is:

[tex]E=\frac{hc}{\lambda}[/tex]

where,

[tex]\lambda[/tex] = wavelength of light = [tex]525nm=5.25\times 10^{-7}m[/tex]        (Conversion factor:  [tex]1m=10^9nm[/tex]  )

h = Planck's constant = [tex]6.625\times 10^{-34}J.s[/tex]

c = speed of light = [tex]3\times 10^8m/s[/tex]

Putting values in above equation, we get:

[tex]E=\frac{6.625\times 10^{-34}J.s\times 3\times 10^8m/s}{5.25\times 10^{-7}mm}\\\\E=3.79\times 10^{-19}J[/tex]

Hence, the energy of one photon of the given light is [tex]3.79\times 10^{-19}J[/tex]

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