Microwave radiation has a wavelength on the order of 1.0 cm. Calculate the frequency and the energy of a single photon of this radiation. How to calculate the energy of an Avogadro’s number of photons (called an einstein) of this radiation ?

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Answer 1 · 2015-04-08T22:05:33

If wavelength is #lambda=1 cm=0.01m#
Frequency is: #nu=c/lambda=(3xx10^8)/0.01=3xx10^10Hz#

Energy of one photon of this frequency will be (From Einstein's relationship):
#E=h*nu=6.63xx10^(-34)*3xx10^10~=2xx10^-23J#

(Where #c# is the speed of light and #h# is Plank's Constant)

Now using #N_A=6.022xx10^23 mol^-1# you can find the energy you need!