How much energy does a photon of frequency #6 * 10^12# Hz have?
1 Answer
Explanation:
The energy of a photon is actually directly proportional to its frequency as shown by the Planck - Einstein relation, which looks like this
#color(blue)(|bar(ul(color(white)(a/a)E = h * nu color(white)(a/a)|)))#
Here
As you can see, the energy of the photon increases as its frequency increases. Simply put, the higher the frequency, the more energetic the photon.
Now, the frequency of the photon is expressed in hertz,
The frequency of the photon can thus be expressed as
#nu = 6 * 10^(12)"s"^(-1)#
Plug this into the Planck - Einstein relation to find the energy of the photon
#E = 6.626 * 10^(-34)"J" color(red)(cancel(color(black)("s"))) * 6 * 10^(12)color(red)(cancel(color(black)("s"^(-1))))#
#E = color(green)(|bar(ul(color(white)(a/a)color(black)(4 * 10^(-21)"J")color(white)(a/a)|))) -># rounded to one sig fig