What is the energy of a photon of microwave radiation with a frequency of #3.20 times 10^11# #s^-1#?
1 Answer
Dec 15, 2016
Explanation:
All you have to do here is to use the Planck - Einstein relation, which as you know establishes a relationship between the frequency of a photon and the energy it carries
#color(blue)(ul(color(black)(E = h * nu)))#
Here
#E# is the energy of the photon#h# is Planck's constant, equal to#6.626 * 10^(-34)"J s"# #nu# is the frequency of the photon
The problem provides you with the frequency of the photon, so just plug this value into the above equation and solve for
#E = 6.626 * 10^(-34)"J" color(red)(cancel(color(black)("s"))) * 3.20 * 10^(11) color(red)(cancel(color(black)("s"^(-1))))#
#color(darkgreen)(ul(color(black)(E = 2.12 * 10^(-22)"J")))#
The answer is rounded to three sig figs.