What is the energy of a photon of light with a wavelength of 575 nm?
1 Answer
Explanation:
The energy of a photon is proportional to its frequency, as stated by the Planck - Einstein's equation
#color(blue)(E = h * nu)" "# , where
Now, notice that you are given the wavelength of the photon,
#color(blue)(lamda * nu =c)" "# , where
This means that the relationship between energy and wavelength looks like this
#lamda * nu = c implies nu = c/(lamda)#
#E = h * c/(lamda)#
Another important thing to notice here is that the wavelength of the photon is given in nanometers,
#E = 6.626 * 10^(-34)"J" color(red)(cancel(color(black)("s"))) * (3 * 10^8 color(red)(cancel(color(black)("m"))) color(red)(cancel(color(black)("s"^(-)))))/(575 * 10^(-9)color(red)(cancel(color(black)("m")))) = color(green)(3.46 * 10^(-19)"J")#